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Case Study Questions for Class 6 Maths Chapter 9 Data Handling

• Last modified on: 11 months ago
• Reading Time: 7 Minutes

Here in this article, we are providing case study questions for class 6 maths. Here you will find case study questions for class 6 maths Chapter 9 Data Handling .

Case Study Question 1:

Related Posts

Maths class 6 chapter list, latest chapter list (2023-24).

Chapter 1 Knowing Our Numbers Case Study Questions Chapter 2 Whole Numbers Case Study Questions Chapter 3 Playing with Numbers Case Study Questions Chapter 4 Basic Geometrical Ideas Case Study Questions Chapter 5 Understanding Elementary Shape Case Study Questions Chapter 6 Integers Case Study Questions Chapter 7 Fractions Case Study Questions Chapter 8 Decimals Case Study Questions Chapter 9 Data Handling Case Study Questions Chapter 10 Mensuration Case Study Questions Chapter 11 Algebra Case Study Questions Chapter 12 Ratio and Proportion Case Study Questions

Old Chapter List

Chapter 1 Knowing Our Numbers Chapter 2 Whole Numbers Chapter 3 Playing with Numbers Chapter 4 Basic Geometrical Ideas Chapter 5 Understanding Elementary Shape Chapter 6 Integers Chapter 7 Fractions Chapter 8 Decimals Chapter 9 Data Handling Chapter 10 Mensuration Chapter 11 Algebra Chapter 12 Ratio and Proportion Chapter 13 Symmetry Chapter 14 Practical Geometry

Deleted Chapter:

Tips for Answering Case Study Questions for Class 6 Maths in Exam

1. Comprehensive Reading for Context: Prioritize a thorough understanding of the provided case study. Absorb the contextual details and data meticulously to establish a strong foundation for your solution.

2. Relevance Identification: Pinpoint pertinent mathematical concepts applicable to the case study. By doing so, you can streamline your thinking process and apply appropriate methods with precision.

3. Deconstruction of the Problem: Break down the complex problem into manageable components or steps. This approach enhances clarity and facilitates organized problem-solving.

4. Highlighting Key Data: Emphasize critical information and data supplied within the case study. This practice aids quick referencing during the problem-solving process.

5. Application of Formulas: Leverage pertinent mathematical formulas, theorems, and principles to solve the case study. Accuracy in formula selection and unit usage is paramount.

6. Transparent Workflow Display: Document your solution with transparency, showcasing intermediate calculations and steps taken. This not only helps track progress but also offers insight into your analytical process.

7. Variable Labeling and Definition: For introduced variables or unknowns, offer clear labels and definitions. This eliminates ambiguity and reinforces a structured solution approach.

8. Step Explanation: Accompany each step with an explanatory note. This reinforces your grasp of concepts and demonstrates effective application.

9. Realistic Application: When the case study pertains to real-world scenarios, infuse practical reasoning and logic into your solution. This ensures alignment with real-life implications.

10. Thorough Answer Review: Post-solving, meticulously review your answer for accuracy and coherence. Assess its compatibility with the case study’s context.

11. Solution Recap: Before submission, revisit your solution to guarantee comprehensive coverage of the problem and a well-organized response.

12. Previous Case Study Practice: Boost your confidence by practicing with past case study questions from exams or textbooks. This familiarity enhances your readiness for the question format.

13. Efficient Time Management: Strategically allocate time for each case study question based on its complexity and the overall exam duration.

14. Maintain Composure and Confidence: Approach questions with poise and self-assurance. Your preparation equips you to conquer the challenges presented.

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NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12

Data Handling Class 6 Extra Questions Maths Chapter 9

June 11, 2019 by Bhagya

Extra Questions for Class 6 Maths Chapter 9 Data Handling

Data Handling Class 6 Extra Questions Very Short Answer Type

Extra Questions for Class 6 Maths

Ncert solutions for class 6 maths, free resources.

NCERT Solutions

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• Data Handling Class 7 Case Study Questions Maths Chapter 3

Last Updated on August 17, 2024 by XAM CONTENT

Hello students, we are providing case study questions for class 7 maths. Case study questions are the new question format that is introduced in CBSE board. The resources for case study questions are very less. So, to help students we have created chapterwise case study questions for class 7 maths. In this article, you will find case study questions for CBSE Class 7 Maths Chapter 3 Data Handling. It is a part of Case Study Questions for CBSE Class 7 Maths Series.

Table of Contents

Case Study Questions on Data Handling

Q.1. In which games the number of existing active users is more than 1.5 million? (a) KC (b) RJ (c) CM (d) CR

Sol. Option (a) is correct.

Q. 2. It has been observed that $50 \%$ of the new RJ game users play online with friends? (a) 1.39 million (b) 4.975 million (c) 8.195 million (d) 9.95 million

Sol. Option (c) is correct. Explanation: ($50 \%$ of 1.99 million $=0.995$ million and $36 \%$ of 20 million $=7.2$ million $0.995+7.2=$ 8.195 million)

Q. 3. Mary played 10 HC matches. She scored 45, 36, 50, $27,36,52,50,43,50$ and 47 points in them. What is the most frequent score point? (a) 27 (b) 36 (c) 47 (d) 50

Sol. Option (d) is correct.

Q. 4. Are the mean and median of Mary’s scores equal? Justify your answer.

Sol. Mean score is 43.6 $$ \begin{aligned} 43.6= & (45+36+50+27+36 \\ & +52+50+43+50+47) \\ & \div 10 \text { median score is } 46 . \end{aligned} $$

Ascending order of scores

$$ \begin{aligned} & =(27,36,36,43,45,47,50,50,50,52) \\ (45+47) \div 2 & =46 \\ 46 & \neq 43.6 \end{aligned} $$

• Comparing Quantities Class 7 Case Study Questions Maths Chapter 7
• Triangle and its Properties Class 7 Case Study Questions Maths Chapter 6
• Lines and Angles Class 7 Case Study Questions Maths Chapter 5
• Simple Equations Class 7 Case Study Questions Maths Chapter 4

Fractions and Decimals Class 7 Case Study Questions Maths Chapter 2

Integers class 7 case study questions maths chapter 1, topics from which case study questions may be asked.

• Representative Values
• Arithmetic Mean

Case study questions from the above given topic may be asked.

• Collection of information in numerical figures is called Data. The data obtained initially is called Raw-data. Arranging numerical figures of the data in ascending or descending order is called an array.
• The difference between highest and lowest value of observation in a set of data is called the Range.
• The number of times a particular observation occurs is called its frequency.
• Mean is the sum of all the values, divided by the total number of values.
• Median is the ‘middle value’ of a list when the data in the list is sorted in increasing or decreasing order.
• Mode is a value which occurs most frequently in a collection of data.
• A bargraph is a form of graphical representation of data. It shows quantity of data according to length of bars which are of inform width with equal spacing.

Different forms of data need different forms of representative or central value to describe them. The most common of them are arithmetic mean, mode and median.

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Frequently Asked Questions (FAQs) on Data Handling Case Study

Q1: what is data handling.

A1: Data handling refers to the process of collecting, organizing, representing, and interpreting data to make it meaningful and useful. It involves various methods and tools to analyze data and draw conclusions.

Q2: What is a bar graph, and how is it used in data handling?

A2: A bar graph is a visual representation of data using rectangular bars of equal width. The length of each bar corresponds to the value or frequency of the data. Bar graphs are used to compare different categories of data, making it easier to understand and interpret information.

Q3: How do you construct a bar graph?

A3: To construct a bar graph, follow these steps:Draw two perpendicular lines (axes), one horizontal (x-axis) and one vertical (y-axis). Label the x-axis with the categories of data and the y-axis with the frequency or value. Choose an appropriate scale for the y-axis. Draw bars for each category, with heights corresponding to their respective values. Ensure the bars are of equal width and are spaced evenly.

Q4: What is a histogram, and how is it different from a bar graph?

A4: A histogram is a type of bar graph that represents the frequency distribution of continuous data. Unlike a bar graph, which represents categorical data, a histogram’s bars are adjacent (without gaps) and represent intervals of data. The height of each bar indicates the frequency of data within each interval.

Q5: What is mean, and how is it calculated?

A5: The mean, or average, is a measure of central tendency that represents the sum of all data values divided by the number of data values.

Q6: What is median, and how is it determined?

A6: The median is the middle value of a data set when the values are arranged in ascending or descending order. If there is an odd number of data values, the median is the middle value. If there is an even number of data values, the median is the average of the two middle values.

Q7: What is mode, and how is it identified?

A7: The mode is the value that appears most frequently in a data set. A data set can have more than one mode if multiple values appear with the same highest frequency, and it can also have no mode if all values appear with the same frequency. For example, in the data set 2, 4, 4, 5, 7, the mode is 4.

Q8: What is the importance of data handling in everyday life?

A8: Data handling is important because it helps us make informed decisions based on collected data. Whether it’s understanding trends, comparing different options, or analyzing information, data handling provides a structured way to organize and interpret data in various fields like education, business, healthcare, and more.

Q9: Are there any online resources or tools available for practicing comparing quantities case study questions?

A9: We provide case study questions for CBSE Class 8 Maths on our  website . Students can visit the website and practice sufficient case study questions and prepare for their exams. If you need more case study questions, then you can visit  Physics Gurukul  website. they are having a large collection of case study questions for all classes.

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• CBSE Class 6 Mathematics...

CBSE Class 6 Mathematics Data handling Extra Questions

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CBSE Class 6 Mathematics Data handling Extra Questions. myCBSEguide has just released Chapter Wise Question Answers for class 6 Maths. There chapter wise Practice Questions with complete solutions are available for download in  myCBSEguide   website and mobile app. These Extra Questions with solution are prepared by our team of expert teachers who are teaching grade in CBSE schools for years. There are around 4-5 set of solved Mathematics Extra questions from each and every chapter. The students will not miss any concept in these Chapter wise question that are specially designed to tackle Exam. We have taken care of every single concept given in  CBSE Class 6 Mathematics   syllabus  and questions are framed as per the latest marking scheme and blue print issued by CBSE for Class 6.

CBSE Class 6 Maths Extra Questions

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Important Questions of Class 6 Mathematics Chapter 9

Ch-9 Data handling

• 10 – 20 and 40 – 50
• None of these
• 10 – 20 and 20 – 30
• 20 – 30 and 40 – 50

Match the following:-

Fill up the following:

• Representation of data with the help of tally marks is called _________.
• In a bar graph width of rectangle is always _________.
• In a bar graph, _______ can be drawn horizontally and vertically.

State true or false:

• A bar graph represents data in the form of pictures, object or parts of objects.
• Data is a collection of numerical figures giving required information.
• In a bar graph width of rectangle is always equal.
• A collection of numbers gathered to give some information is called?
• Which merchant sold the maximum number of baskets?
• How many fruit baskets were sold by Answer?
• The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?

A survey of 120 school students was done to find which activity they prefer to do in their free time :

Draw a bar graph to illustrate the above data taking scale of 1 unit length = 5 students.Which activity is preferred by most of the students other than playing ?

• On which day the maximum number of toys were produced?
• On which day equal number of toys were produced?
• What is the total number of toys produced during the week?
• In which day minimum number of toys were produced?
• 10 – 20 and 40 – 50 Explanation: Both have 6 frequency
• 20 Explanation: 2 {tex}\times{/tex} 10=20
• Friday Explanation: As friday has number of absentees 8 {tex}\times{/tex} 5 = 40. highest number in the week.
• Data Explanation: collection of data =information facts and statistics collected together for reference or analysis is called data
• 400 Explanation: 4 {tex}\times{/tex} 100 = 400
• 19 Explanation: 12+7 = 19
• {tex} \to {/tex} (b)
• {tex} \to {/tex} (a)
• {tex} \to {/tex} (d)
• {tex} \to {/tex} (c)
• frequency distribution table
• False; A pictograph represents data in the form of pictures, object or parts of objects.
• Data is collection of numbers gathered to give some information.
• Total pictures = 25 Each picture stands for 25 shapes. So, Total shapes students drew altogether = 25 {tex}\times{/tex} 25 = 625 shapes
• Number of people liked Red colour = 5 {tex}\times{/tex} 10 + 5 = 55 Number of people liked White colour = 2 {tex}\times{/tex} 10 = 20 Number of people liked Green colour = 3 {tex}\times{/tex} 10 = 30 Number of people liked Blue colour = 5 {tex}\times{/tex} 10 = 20 Hence, Red colour most liked by the people.
• martin sold the maximum number of baskets.
• 7 {tex}\times{/tex} 100 = 700 fruit baskets were sold by Answer.
• Answer, Martin and Ranjit Singh are planning to buy a godown for the next season.
• Draw two perpendicular lines – one vertical and one horizontal.
• Along horizontal line mark the “Preferred activity” and along vertical line mark the “No. of students”.
• Take bars of same width keeping uniform gap between them.
• Take scale of 1 unit length = 5 students along the vertical line and then mark the corresponding values.

• The maximum number of toys were produced on Tuesday.
• Wednesday and Thursday, Friday and Saturday have equal number of toys were produced.
• Total number of toys produced in the week = 175 + 225 + 150 + 150 + 125 + 125 = 900
• Minimum number of toys were produced on Friday and Saturday.

Chapter Wise Extra Questions for Class 6 Mathematics

• Knowing our Numbers
• Whole Numbers
• Playing with Numbers
• Basic Geometrical Ideas
• Understanding Elementary Shapes
• Data handling
• Mensuration
• Ratio and Proportion
• Practical Geometry

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Chapter 9 Class 6 Data Handling

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Updated for new NCERT Book - 2023-24.

Get solutions of all NCERT Question of Chapter 9 Class 6 Data Handling. Answers to all exercise questions and examples are provided with step-by-step solutions. 

In this chapter, we will learn

• What is a data , raw data
• How do we organize the data using tally marks (converting raw data into tally marks)
• What is a pictograph and how to read it
• How to draw a pictograph
• What is a bar graph, and how to read it
• How to draw a bar graph , taking appropriate scale

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NCERT Solutions Class 6 Maths Chapter 9 Data Handling

NCERT solutions for class 6 maths Chapter 9 Data Handling will introduce students to the concepts of data, its representation, and recording. Data is a collection of numbers gathered to give some information. We are all surrounded by data, be it weather reports, advertisements, news, everything is based on the research and analysis of data. NCERT solutions class 6 maths Chapter 9 will help kids study various ways in which data can be organized to interpret the results. This chapter will also discuss various ways in which data can be displayed such as graphs, pictographs, and bar graphs.

In this chapter, students will also learn why it is important to organize data. When we collect data it is in the raw form which cannot be studied and interpreted. Hence we have to organize this data based on our requirements. One of the quickest ways to arrange data is by representing them in tabular form using tally marks. Class 6 Maths NCERT Solutions Chapter 9 can be found in the pdf format below and also you can find some of these in the exercises given below.

• NCERT Solutions Class 6 Maths Chapter 9 Ex 9.1
• NCERT Solutions Class 6 Maths Chapter 9 Ex 9.2
• NCERT Solutions Class 6 Maths Chapter 9 Ex 9.3
• NCERT Solutions Class 6 Maths Chapter 9 Ex 9.4

NCERT Solutions for Class 6 Maths Chapter 9 PDF

The concept of data handling will provide a building block for understanding and analyzing data. You will be surprised to know that nowadays the field of data handling has turned into a profession. There is a huge demand for data scientists in the market as big organizations need data experts to study various data and grow their businesses. The Class 6 Maths NCERT Solutions Chapter 8 further elaborates various techniques for the evaluation of data in the exercises given below :

☛ Download Class 6 Maths NCERT Solutions Chapter 9 Data Handling

NCERT Class 6 Maths Chapter 9   Download PDF

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

With the aid of the easily available links above, students will get to explore the applications of data in our everyday life. We often check the rating of a restaurant before ordering food. The ratings are based on customer feedback which itself is a data interpretation. Kids should try and find the real use-cases of data from their surroundings as it will help them relate to the concept of data handling . The exercise-wise analysis of NCERT Solutions Class 6 Maths Chapter 9 Data Handling is given below :

• Class 6 Maths Chapter 9 Ex 9.1 - 7 Questions
• Class 6 Maths Chapter 9 Ex 9.2 - 2 Questions
• Class 6 Maths Chapter 9 Ex 9.3 - 3 Questions
• Class 6 Maths Chapter 9 Ex 4.4 - 4 Questions

☛ Download Class 6 Maths Chapter 9 NCERT Book

Topics Covered : The topics covered in Class 6 maths NCERT solutions Chapter 9 are recording of data, organization of data , pictographs for illustrating data, bar graphs , its construction, and interpretation. These topics cover all the important concepts and basics related to data handling in detail.

Total Questions : Class 6 maths chapter 9 Data Handling consists of 16 key questions, of which 10 are easy, 5 are moderate, and 1 is a complex sum . By solving the problems, students can cover all the topics of this chapter and prepare for their exams

List of Formulas in NCERT Solutions Class 6 Maths Chapter 9

The NCERT solutions Class 6 maths Chapter 9 does not come with any formulas however some of the concepts related to this chapter have been outlined in this section. These are some vital concepts based on data recording and organization. Let us go through these concepts one by one :

• We discover how a pictograph expresses data as images, things, or pieces of objects. Pictographs use symbols to indicate a specific quantity of items or things.
• In a bar graph, bars of uniform width are drawn horizontally or vertically with equal spacing between them. The length of each bar gives the required information.
• To get particular information from the given data quickly, the data can be arranged in a tabular form using tally marks

Important Questions for Class 6 Maths NCERT Solutions Chapter 9

FAQs on NCERT Solutions for Class 6 Maths Chapter 9

Why are ncert solutions class 6 maths chapter 9 important.

The NCERT Solutions Class 6 Maths Chapter 9 have well-drafted examples to explain the crucial concepts of data handling. This chapter will describe the actual use case of data with the help of charts and diagrams. It will further describe the idea of pictographs and how it is one of the easiest ways to study data. The CBSE recommends the NCERT solutions for reference, as it covers all the topics in detail.

Do I Need to Practice all Questions Provided in NCERT Solutions Class 6 Maths Data Handling?

The questions cover a range of topics starting from describing data to the interpretation of data using various methods. Since the questions cover a different set of topics thus students must ensure that they solve each and every problem in the NCERT solutions class 6 maths Data Handling. There are plenty of examples in this chapter that will help students explore every detail of the data handling and the underlying concepts.

What are the Important Topics Covered in Class 6 Maths NCERT Solutions Chapter 9?

The NCERT Solutions Class 6 Maths Chapter 9 covers all the fundamental concepts related to data handling in detail. The important topics covered in this chapter are based on organizing and representing data in the form of pictographs, bar graphs, etc. Apart from this the chapter also covers the topic of data interpretation. Questions related to all these topics have been solved in a detailed manner with examples.

How Many Questions are there in NCERT Solutions Class 6 Maths Chapter 9 Data Handling?

The NCERT Solutions Class 6 Maths Chapter 9 Data Handling has a total of 16 questions, 10 of which are short-form, while 6 are long-form questions. The students will be required to draw relevant figures like bar graphs, pictographs, for understanding and solving these questions.

How CBSE Students can utilize NCERT Solutions Class 6 Maths Chapter 9 effectively?

The students should focus on the solved examples of this chapter and pay attention to the highlight sections and summary of this chapter. Kids are also advised to make notes on these topics. Sections such as pictographs and bar graphs are important from an exam perspective hence students must solve additional questions related to these topics. In this way, the children can utilize the NCERT Solutions Class 6 Maths Chapter 9 effectively.

Why Should I Practice NCERT Solutions Class 6 Maths Data Handling Chapter 9?

The NCERT Solutions Class 6 Maths Chapter 9 has well-explained examples with logical explanations for each and every question. These NCERT solutions also come with visuals to help students with topics like pictographs and bar graphs. This will help kids solve questions in a more practical way thus enhancing their visualization skills. Hence, children should ensure that they solve all the questions along with the examples.

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Revision Notes on Data Handling

Data is a collection of raw facts and figures that give you information.

Recording Data

Recording of data depends upon the requirement of the data. Everybody has different ways to record data.

If we have to compare the choice of the people about certain movies then we have to collect the data of the survey which tells the choice of the people about those movies.

Organization of Data

Raw data is difficult to read, so we have to organize it in such a way so that we can use it in need.

Data can be organized in a tabular form.

Data is represented in a tabular form using frequency distribution and the tally marks.

Frequency tells the number of times the particular observation happened.

Tally marks are used to show the frequency of the data.

Tally marks are represented as

There are 30 students in a class. They have to choose one sport each for the sports period.5 took badminton, 10 took cricket, 4 took football, 1 took hockey, 3 took tennis and 7 went for volleyball. Represent this data in the frequency distribution table.

To make a frequency distribution table-

Make a table with three columns.

Write the name of sports in the first column.

Write the respective frequencies in front of each sport.

Mark the tally marks according to the frequency given.

If we represent the data with the pictures of objects instead of numbers then it is called Pictograph . Pictures make it easy to understand the data and answer the questions related to it by just seeing it.

We can easily answer the questions like who has a maximum number of toys, who has the least number of toys etc.

Interpretation of a Pictograph

In the pictograph, we have to understand it and get the information from the pictures given.

If we have to represent more number of items then we can use the key which represents more numbers with one picture.

The number of cars parked in a parking lot every day is given in the pictograph.

Find the day when the highest number of cars are parked and how many?

When the least number of cars did park?

In the above pictograph one car represent 5 cars.

As there is the maximum number of cars is shown on Tuesday so the highest number of cars was parked on Tuesday.

Hence, 40 cars were parked on Tuesday in the parking lot.

Least number of cars were parked on Monday as there are only 4 pictures of cars are shown on that day.

Drawing a Pictograph

Drawing a pictograph is an interesting task but it may be difficult to draw some difficult pictures repeatedly as we had used cars in the above example so we can use easy symbols to draw a pictograph.

We must use a proper key of the symbols so that it could be easily understood by anyone.

The following table shows the choice of the fruits of the 35 students of class 3.represent the data in a pictograph.

As the pictograph is a very time-consuming process, so we can use another way to represent data.

If we use the bars of the same width with equal spacing to represent the data in which the length of the bars represent the frequency is called Bar Graph or Bar Diagram .

Interpretation of a Bar Graph

The following graph tells the favourite colours in a class of 30 students.

Answer the following questions:

Which colour is liked by the maximum number of students?

Which colour is liked by the same number of students?

The graph shows that the pink colour is liked by 9 students so it is the favourite colour of the maximum number of students.

Blue and green colour bars are equal in length and both are liked by 6 students.

Drawing a Bar Graph

Drawing a bar graph is an interesting task, but we must choose an appropriate scale to draw the bar graph. It depends upon our own choice that what we are taking for the scale.

The daily sale of mobile phones in Vicky production is given below. Draw the bar graph to represent the data.

Steps to make a bar graph-

Draw two lines, one horizontal and one vertical in L shape.

Mark days on the horizontal line and no. of phones on the vertical line.

Take a suitable scale for the number of phones and mark on the vertical line. Let 1 unit = 10 phones.

Use the bars of equal width and draw them with the frequency given at the same distance.

The height of the bars tells the sale of the mobile phones in Vicky production.

This same bar graph can be made by interchanging the positions of the days and the number of phones.

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Data Handling

We all come across such a huge amount of data whether the marks, attendance, numbers and a lot more.

We all need to arrange these data according to our need so that in future the accessibility of the data is easy. Here we are going to learn about the handling of the data and how it has to be done.

• A data is a collection of numbers gathered to give some information .
• Data is recorded according to the requirement and then it is stored either in a tabular form or some graphical or pictorial so that in future it can be accessed and used.
• The most common and easiest way to represent and store a data is through tally marks.
• Gathering and recording information and then presenting it in a way that it is meaningful to others is called as Data Handling.  

For example, when we watch a cricket match the runs scored by the batsmen, by the team, the wickets were taken by the bowler, the run rate etc are all recorded. These all are data and how the recording of data and presenting them in front of the viewers such that they are able to understand it is called as Data Handling.

Tally Chart

• The most commonly used method of data handling is the tally graph method.
• In this method, the data is represented using the straight horizontal sticks in a group of or less, where each stick represents a data.

We all can see in the following tally chart that which is the favorite part of Christmas of how many people and here each of the tally marks shows a single person who likes that part of Christmas.

• A pictograph represents data through pictures of objects. It helps answer the questions on the data at a glance.
• Pictographs are often used by dailies and magazines to attract reader’s attention.
• In simple words, in the pictograph, we use pictures to represent the data instead of tally marks.

Example 1 : The following pictograph represents the data of the number of books sold in a week at a library. After analyzing the graph answer the following questions.  

• Find the number of books sold on Saturday.
• Find the day on which the minimum and a maximum number of books are sold.

Solution : a) The number of books sold on Saturday was 7.

• b) The minimum number of books sold was on Thursday and Friday and maximum number was sold on Wednesday.  
• Since representing data in the form of pictographs is really difficult and consuming hence we require a better way to represent the data in a more effective manner.
• When bars of uniform width can be drawn horizontally or vertically with equal spacing between in such a manner that the length of each bar represents the given quantity.
• Such method of representing data is called a bar diagram or a bar graph.

Example 2: The following graphs shows the numbers of students whose birthdays fall on the month of January to February. Study the graph properly and answer the following question:

• Find the number of students who have their birthday in the month of May and August.
• Find the month on which the maximum number of students have their birthdays.  
• Find the months on which the same number of students have their birthdays.

Solution : After analyzing the graph

a) 8 students have their birthdays on May and only 1 student has his birthday in August.

b) On the month of June 10 students have their birthdays.

  c) On the month February and November 4 students have their birthdays.

Practice Questions

Q1) Analyze the graph and answer the following questions:  

How many apples are sold in the month of February?

b) In which month maximum and in which the minimum number of apples were sold?

Q2) Analyze the graph and answer the following questions:

  a) In which month maximum rainfall took place?

b) In which month minimum rainfall took place?

Recap  

• A data is a collection of numbers gathered to give some information.
• The graphical representation of data in vertical as well as horizontal bars is known as a bar graph.

Quiz for Data Handling

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NCERT Solutions for Class 6 Maths Chapter 9 - Data Handling

• NCERT Solutions
• Chapter 9 Data Handling

NCERT Solutions for Class 6 Maths Chapter 9 - Data Handling - FREE PDF Download

Students who are looking for a reference book to aid them in their exam preparations, they can refer to NCERT Solutions for Class 6 Maths Chapter 9. It offers accurate and comprehensive answers to the exercise questions and helps candidates to improve their preparations, and subsequently, their final marks. Download the free Data Handling in Maths Class 6 NCERT Solutions PDF and start preparing from today. You can also register Online for NCERT Solutions Class 6 Science tuition on Vedantu.com to score more marks in your examination.

List of Topics Covered Under NCERT Solutions for Class 6 Math Chapter 9

A Glance About The Topic 

It is impossible to process the vast amount of data without a proper standard.  The process of raw information is known as Data. 

The organized data can be represented as a picture in the form of a bar graph or pie chart. 

To compare two or more same sets of data can be drawn pictorially by using a bar graph. 

The pictographs can also represent using some symbols

In the bar graph, the value of 1 unit can be scaled according to the need. 

Access NCERT Solutions for Class 6 Chapter 9 – Data Handling

Exercise – 9.1

1. In a mathematics test the following marks were obtained by $40$ students . Arrange these marks in a table using tally marks.

(a) Find how many students obtained marks equal to or more than $7$

(b) How many students obtained marks below $4$?

(a) There are twelve students who obtained marks equal to more than $7$ .

(b) There are eight students who scored less than $4$ .

2. Following is the choice of sweets for $30$ students of Class VI. 

Ladoo, Barfi, Ladoo, jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rashulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Ladoo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo 

(a) Arrange the names of sweets in a table using tally marks.

(b) Which sweet is preferred by most of the students?

(b) The sweet which is most preferred is Ladoo.

3. Catherine threw a dice $40$ times and noted the number appearing each time as shown below:

Make a table and enter the data using tally marks. Find the number that appeared.

(a) The minimum number of times

(b) The maximum number of times. 

(c) Find those numbers that appear an equal number of times.

(a) The minimum number of times is $4$

(b) The maximum number of times is $5$ .

(c) The number that appear an equal number of times are $1,6$

4. Following pictograph shows the number of tractors in five villages:

Observe the pictograph and answer the following questions:

(i) Which village has the minimum number of tractors? 

(ii) Which village has the maximum number of tractors? 

(iii) How many more tractors village C has as compared to village B. 

(iv) What is the total number of tractors in all the five villages?

(i) Village D has a minimum number of tractors.

(ii) Village C has a maximum number of tractors.

(iii) Village C has $3$ more tractors as compared to village B.

(iv) Total number of tractors in all five villages is $28$ .

5. The number of girl students in each class of a co-educational middle school is depicted by the pictograph.

Observe this pictograph and answer the following questions:

(a) Which class has the minimum number of girl students? 

(b) Is the number of girls in class VI less than the number of girls in class V?

(c) How many girls are there in class VII? 

(a) Class VIII has a minimum number of girl students. 

(b) No, the number of girls in class VI is not less than the number of girls in class V

(c) There are twelve girls in class eight i.e. $3 \times 4 = 12$ girls

6. The sale of electric bulbs on different days of a week is shown below:

What can be concluded from the above pictograph?

Ans: From the above pictograph it can be concluded that the maximum number of bulbs were sold on Sunday and the total numbers of bulbs sold in the given week were $86$ .

7. In a village six fruit merchants sold the following number of fruit baskets in a particular season:

(a) Which merchant sold the maximum number of baskets?

(b) How many fruit baskets were sold by Anwar?

(c) The merchants who have sold $600$ or more number of baskets are planning to buy a godown for the next season. Can you name them?

(a) Martin sold the maximum number of baskets.

(b) Total number of baskets sold by Anwar are $7 \times 100 = 700$ fruit baskets.

(c) Name of them are- Anwar, Martin and Ranjit Singh

Exercise – 9.2

Refer to page 6 - 8 for exercise 9.2 in the PDF

1. Total number of animals in five villages are as follows:

(a) How many symbols represent animals of village E? 

(b) Which village has the maximum number of animals? 

(c) Which village has more animals: village A or village C?

(a) There are $6$ symbols that represent animals of Village E.

(b) Village B has a maximum number of animals.

(c) From the above pictograph, village C has more animals than village A. 

2. Total number of students of a school in different years is shown in the following table:

A. Prepare a pictograph of students using one symbol  (Image will be uploaded soon) to represent 100 students and answer the following questions: 

(a) How many symbols represent total number of students in the year $2002?$

(b) How many symbols represent the total number of students for the year $1998$?

B. Prepare another pictograph of students using any other symbol each representing $50$ students. Which pictograph do you find more informative?

(a) There are $6$ symbols that represent the total number of students in the year $2002$ .

(b) There are $5$ and half of scale  symbols that represent total number of students for the year $1998$

From both the pictographs, pictograph B is more informative than A. 

Exercise – 9.3

1. The bar graph given below shows the amount of wheat purchased by government during the year $1998 - 2002$

Read the bar graph and write down your observations. 

(a) In which year was the wheat production maximum? 

(b) In which year was the wheat production minimum?

(a) In the year $2002$ , there was maximum wheat production.

(b) In the year $1998$ , there was the minimum wheat production.

2. Observe this bar graph which is showing the sale of shirts in a readymade shop from Monday to Saturday.

Now Answer the Following Questions: 

(a) What information does the above bar graph give? 

(b) What is the scale chosen on the horizontal line representing the number of shirts? 

(c) On which day were the maximum number of shirts sold? How many shirts were sold on that day?.

(d) On which day were the minimum number of shirts sold? 

(e) How many shirts were sold on Thursday?

(a) The above bar graph gives the information of the sale of shirts in a readymade shop from Monday to Saturday.

(b) The chosen scale on the horizontal line representing number of shirts is 

$1$ unit $ = 5$ shirts. 

(c) The maximum  number of shirts are sold on Saturday. There were a total of $60$ shirts sold on that day.

(d) On Tuesday there were a minimum number of shirts sold.

(e) On Thursday, $35$ shirts were sold. 

3. Observe this bar graph which shows the marks obtained by Aziz in half yearly examination in different subjects:

Answer the Given Questions: 

(a) What information does the bar graph give? 

(b) Name the subject in which Aziz scored maximum marks. 

(c) Name the subject in which he has scored minimum marks. 

(d) State the name of the subjects and marks obtained in each of them.

(a) The above bar graph gives information of the  marks obtained by Aziz in half yearly examinations in different subjects. 

(b) Aziz scored maximum marks in Hindi. 

(c) Aziz scored minimum marks in Social Studies. 

(d) The name of the subjects are:  Hindi $ - 80$ , English $ - 60$ , Mathematics $ - 70$ , Science $ - 50$ , Social Studies $ - 40$

Exercise – 9.4

1. A survey of 120 school students was done to find which activity they prefer to do in their free time:

Draw a bar graph to illustrate the above data taking a scale of $1$ unit length $ = 5$ students. Which activity is preferred by most of the students other than playing?

By taking a scale of $1$ unit length $ = 5$ students, bar graph is shown below considering the above data

2. The number of mathematics books sold by a shopkeeper on six consecutive days is shown below:

Draw a bar graph to represent the above information choosing the scale of your choice.

The bar graph of the above given data is as follows:

3. Following shows the number of bicycles manufactured in a factory during the year 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice. 

(a) In which year were the maximum number of bicycles manufacturers? 

(b) In which year were the minimum number of bicycles manufactured?

By taking a scale of $1$ unit length $ = 100$ bicycles we may draw a bar graph of above data as follows:

(a) The maximum number of bicycles are manufactured in the year $2002$

(b) The minimum number of bicycles are manufactured in the year $1999$

4. Number of persons in various age groups in a town is given in the following table:

Draw a bar graph to represent the above information and answer the following questions. (take $1$ unit length $ = 20$ thousands) 

(a) Which two age groups have the same population?

(b) All persons in the age group of $60$ and above are called senior citizens. 

How many senior citizens are there in the town?

From the question, by taking a scale of $1$ unit length $ = 20$ thousands.  

The bar graph of above data as follows:

(a) The two age groups which have same population are $30 - 44$ and $45 - 59$

(b) Senior citizens are the persons between the age group either from $60 - 74$ or from $75$ above. Therefore number of senior citizens in the town 

$80000 + 40000 = 1$ lakh $20$ thousand

Hence, the number of senior citizens in the town is $1$ lakh $20$ thousand.

NCERT Class 6 Maths Chapter 9 – Free PDF Download

Chapter number nine of NCERT class 6 mathematics presents the concept of data handling. In this chapter students learn the concept of recording data, organising, and managing them.

Data handling is a complex concept, and Class 6 Maths Chapter 9 aims to simplify it. Understanding this concept requires conceptual knowledge, and this chapter intends to provide the same. It begins with an introduction to data and its application in daily life. There are a few real-life examples as well. After that, it gradually introduces the vital concepts like data recording, organising, etc. Along with these, candidates also get to learn more about pictograph, its interpretation, and the process of drawing one. They further come across various bar graphs as well in this chapter.

NCERT Solutions for Class 6 Maths Chapter 9 is available for free online in PDF format. Students can easily download them to enhance their exam preparations.

NCERT Solutions For Class 6 Maths Chapter 9 Data Handling – Topic - Wise Discussion

NCERT maths Class 6 Chapter 9 has a total of seven sub-topics. Here is a topic-wise brief:

1. Introduction

The introduction on Data Handling for Class 6 chapter begins with an introduction to data and its real-world applications.

2. Recording Data

Recording data is an essential part of daily life. Data handling Class 6 further explains this process. There are various processes of recording data and in this particular section students come across a specific process.

Here, an example has been used to simplify this process. A class picnic is taking place, and the teacher asks everyone’s name and their preferred fruit. The entire data is collected in two different methods, but one of them seems more manageable than the other.

This example presented in Data Handling Class 6 PDF; students learn how collecting data randomly can haphazard the entire process. It also prompts students to perform this example in real-life to understand it better.

3. Organisation of Data

Recording of data can be tiresome, if not organised properly. In this regard, students should know about this concept. Data handling for Class 6 explains this concept further. This section takes a queue from the previous example for this purpose and shows how to organise data.

Along with that, another example shows that a teacher wants to collect data regarding food preference for the mid-day meal programme. She assigns this task to one of her students. She uses columns to represent the choices, but another student suggested a better method of classifying that data. There are two more ways mentioned here that candidates can learn to segregate any data.

This section in NCERT Maths book Class 6 Chapter 9 solutions contains two more examples regarding the same topic. Students can study them thoroughly to learn more about data organisation.

4. Pictograph

Pictograph helps to identify data via visual representation. NCERT solution for Class 6 Maths chapter 9 introduces the topic of pictograph with a representation of a bookshelf. Students can quickly identify the number of books from this visual representation.

5. Interpretation of Pictograph

In this section of NCERT Class 6 Maths Data Handling students learn how to interpret data efficiently.

There are multiple examples in this section with a visual representation of data. It is then followed by questions which students need to answer by taking reference from the pictogram above. They can review their answers from the solutions provided immediately below the questions, to evaluate if they have understood the concept or not. In case of any difficulties, candidates must take the assistance of their teachers to resolve their queries.

NCERT solutions Class 6 Maths Chapter 9 offers a comprehensive solution to the following exercise.

6. Drawing a Pictograph

Class 6 Maths Ch 9 moves on to the topic of drawing a pictograph. Even though it is not hard to create a pictograph, some pictures can be hard to draw, if it represents multiple units. Thereby, students can opt for different symbols for this purpose. There are various examples and exercises in this section as well that help students further in study.

7. A Bar Graph

Even though pictograph is a valid option, representing data via them can be a time-consuming affair. Bar graphs can be a good alternative here. In this section of Class 6th Maths Chapter 9 candidates get an introduction to this method, and how it can save more time. There are two additional sub-sections under this topic, which are:

Interpretation of bar graph.

Drawing a bar graph.

Improve the Exam Preparations with NCERT Solutions

NCERT solutions for Class 6 Maths Chapter 9 help students to improve their exam preparations with its following features:

NCERT solutions use simple language that helps students to comprehend the topics easily.

They abide by the curriculum of CBSE helping students to keep a track of their preparations.

Since subject experts are in charge of these study materials, they are accurate and error-free.

These NCERT solutions offer an in-depth analysis of different topics, eliminating the need for any additional reference book.

NCERT solutions for Class 6 Maths Chapter 9 are available online for free. Students can download them in PDF format from the official website of Vedantu – India’s leading e-learning platform.

Enhance Exam Readiness with NCERT Solutions

User-Friendly Language: NCERT solutions for Class 6 Maths Chapter 9 use simple language, making it easier for students to understand the topics.

Aligned with CBSE Curriculum: These solutions follow the CBSE curriculum, helping students track their exam preparations effectively.

Expertly Crafted: Subject experts create these study materials, ensuring their accuracy and freedom from errors.

Comprehensive Analysis: These NCERT solutions provide an in-depth analysis of various topics, eliminating the need for additional reference books.

Free and Accessible: You can access NCERT solutions for Class 6 Maths Chapter 9 online for free. Download them in PDF format from Vedantu's official website, a leading e-learning platform in India.

Chapter wise NCERT Solutions for Class 6 Maths

Chapter 1 - Knowing Our Numbers

Chapter 2 - Whole Numbers

Chapter 3 - Playing with Numbers

Chapter 4 - Basic Geometrical Ideas

Chapter 5 - Understanding Elementary Shapes

Chapter 6 - Integers

Chapter 7 - Fractions

Chapter 8 - Decimals

Chapter 9 - Data Handling

Chapter 10 - Mensuration

Chapter 11 - Algebra

Chapter 12 - Ratio and Proportion

Chapter 13 - Symmetry

Chapter 14 - Practical Geometry

Along with this, students can also view additional study materials provided by Vedantu, for Class 6 Maths Chapter 1 Knowing Our Numbers

NCERT Books Class 6

CBSE Class 6 Maths Syllabus

NCERT Solution Class 6 Maths of Chapter 9 All Exercises

The NCERT Solutions for Class 6 chapter 9 - Data Handling, provided by Vedantu, is a valuable tool for Class 7 students. It helps introduce Maths concepts in an accessible manner. The provided solutions and explanations simplify complex ideas, making it easier for Class 7 Students to understand the material. By using Vedantu's resources, Students can develop a deeper understanding of NCERT concepts. These solutions are a helpful aid for Class 7  students, empowering them to excel in their studies and develop a genuine appreciation for Data Handling. 

FAQs on NCERT Solutions for Class 6 Maths Chapter 9 - Data Handling

1. How Many Topics are There in the NCERT Solution Class 6 Maths Chapters 9 Introduction on Data Handling for Class Solutions for Class 6 Maths Chapter 9 PDF?

There are a total of seven topics in this chapter, and each of them describes a vital concept of data. It begins with a general introduction to the topic and moves on to the concepts of recording and organising data. It further describes the idea of pictograph and its usage and how one can benefit from using it. After that, students get to learn about bar graphs and how they can help to identify data faster and accurately. They understand the techniques of drawing a bar graph efficiently from this chapter as well.

2. What is Data handling for Class 6th?

Data handling is the collection of some kind of data and arranging it in a proper format to understand it easily. Students of Class 6 study Data Handling in Chapter 9. They can find NCERT Solutions on Vedantu. NCERT Solutions can help students to learn and understand the data handling concepts and solve the NCERT textbook questions easily. The solutions provided by Vedantu are free of cost. They are also available on the Vedantu Mobile app.

3. What is included in Data Handling Class 6 Maths Chapter 9?

Data handling includes various concepts. Students will learn how to arrange the given data in order and find the mean, median, frequency, and mode of the given data. There are different types of data collection and arrangement. It helps students to arrange the raw data in an organized manner. They will also learn about bar graphs, pie charts, and other forms of data handling.  

4. How many types of data handling are there?

Data may be available in two main forms: Qualitative data and quantitative data. Data handling includes learning about different concepts of data. They will learn about bar graphs, line graphs, stem and leaf plots, histograms, pie charts, etc. In Class 6 Maths, students can understand the different concepts of data handling from the notes given at Vedantu. All the notes are given by the expert subject teachers.

5. How do you arrange the given raw data?

Raw data can be arranged in different ways. If the data is given in the form of numerical numbers, students can arrange the numbers in ascending order for easy understanding. The given data can be represented in the form of bar graphs, line graphs, pie charts, or stem and leaf plots. Students will learn about data handling in Class 6 Maths Chapter 9. They can download NCERT Solutions for Class 6  Chapter 9 for an easy and quick understanding of the concepts of data handling. 

NCERT Solutions for Class 6 Maths Chapter 9 Data Handling

• Exercise 9.1 Chapter 9 Class 6 Maths NCERT Solutions
• Exercise 9.2 Chapter 9 Class 6 Maths NCERT Solutions
• Exercise 9.3 Chapter 9 Class 6 Maths NCERT Solutions
• Exercise 9.4 Chapter 9 Class 6 Maths NCERT Solutions

NCERT Solutions for Class 6 Maths Chapters:

How many exercises in Chapter 9 Data Handling?

What do you mean by pictograph, what do you mean by bar graph, how to draw pictograph, contact form.

Data Handling and Presentation Chapter Notes | Maths for Class 6 (Ganita Prakash) - New NCERT PDF Download

Introduction

Any collection of facts, numbers, measures, observations, or other descriptions of things that convey information about those things is called data.

We’re surrounded by data all the time. For example, when you watch a TV show and see a chart showing how many people liked each episode, that's data being presented to you in a visual way.

Collecting and Organizing Data

Imagine you and your friends are at a school event where there are several fun activities, like a magic show, a dance-off, and a treasure hunt. You want to find out which activity is the most popular. So, you ask each of your friends which activity they liked the most and note down their answers. This list of activities is data .

But just having this list doesn't immediately tell you which activity is the most popular. To figure that out, you need to organize the data.

Let’s say you have the following preferences:

• Magic Show: 7 friends
• Dance-Off: 5 friends
• Treasure Hunt: 8 friends

To make things clearer, you could use tally marks . For each friend who liked a particular activity, you put a tally mark. When you reach five marks, you cross the four with a line like this:  for easier counting.

This way, it’s easy to see that the Treasure Hunt is the most popular activity because it has the most tally marks.

Tally marks are a quick way to count things in groups of five. You draw a vertical line for each count, and when you reach five, you cross the four vertical lines with a diagonal line to make it easy to see groups of five.

Now, imagine another situation. Your teacher,  Mrs. Sandhya, asks everyone in class about their shoe sizes. She writes down all the numbers on the board, like this:

• 4, 5, 3, 4, 3, 4, 5, 5, 4
• 5, 5, 4, 5, 6, 4, 3, 5, 6

At first glance, this list looks a bit jumbled. To make it easier to see which shoe sizes are most common, she decides to arrange the data in ascending order . This means she puts the numbers in order from smallest to largest:

• 4, 4, 4, 4, 4, 4, 4
• 5, 5, 5, 5, 5, 5, 5, 5

By arranging the numbers this way, it becomes much easier to see which shoe sizes are the most common. In this case, size 5 is the most popular because it appears the most frequently.

This method of organizing data—whether by using tally marks to count preferences or by arranging numbers in order—helps you make sense of the information quickly and easily.

Pictographs

A pictograph is a fun and simple way to show data using pictures instead of numbers. Imagine you're at a school event, and you want to know how many students took part in different activities like drawing, singing, or dancing. Instead of writing down numbers, you decide to draw pictures.

With just a quick glance at this pictograph , you can tell which activity was the most popular and which was the least popular.

A pictograph represents data through pictures of objects. It helps answer questions about data with just a quick glance.

In the pictograph above, each picture stands for one student. But sometimes, one picture can represent more than one person or object.

Example: Favorite Snacks in Class

Now, let’s answer some questions based on this pictograph:

How many students like cookies?

• There are 7 cookie pictures, so 7 students like cookies.

How many students like fruit?

• There are 3 fruit pictures, so 3 students like fruit.

Which snack is the least popular?

• Candy is the least popular because there is only 1 candy picture, meaning only 1 student likes candy.

This pictograph makes it super easy to see which snacks are the favorites in your class, just by looking at the pictures!

One day, let’s say you wanted to track how many hours you spent playing different games each week. Here’s the data you collected:

Day :   Mon | Tue | Wed | Thu | Fri | Sat | Sun Hours Played : 1 | 2 | 4 | 3 | 5 | 2 | 1

This pictograph makes it easy to see how much time you spent playing games each day.

Now, imagine your friend wants to track how many books she read each month. Here’s her data:

Month : Jan | Feb | Mar | Apr | May | Jun Books Read : 20 | 15 | 25 | 10 | 30 | 25

This method makes it easier to see the data without using too many symbols, saving both time and space.

But let's say another friend, Gina , also wants to show how many books she read over the summer. Here’s her data:

Month : June | July | August Books Read : 15 | 28 | 33

In this case, representing 33 books with the chosen scale is tricky because 33 is not an exact multiple of 5. To deal with this, Gina uses six symbols for 30 books and a half symbol to represent the remaining 3 books.

Challenges in Preparing a Pictograph :

• When the number of items isn’t a perfect match for the chosen scale (like 33 books), it can be challenging to accurately show this in a pictograph. You might need to use half symbols or some other method to represent parts of the data.
• If the total number is large, using individual symbols for each unit might make the pictograph too crowded and difficult to read.

Have you ever seen a bar graph on TV or in a newspaper? Bar graphs are a lot like pictographs, but they use bars to help us quickly understand and compare information, such as the highest value or how different categories stack up against each other.

Imagine you and your friends are tracking how many books each of you read over the summer. Here's the data you collected:

Friend : Alex | Bella | Chris | Dana | Evan | Fiona Books Read : 3 | 5 | 4 | 2 | 7 | 6

In this bar graph, the length or height of each bar shows the number of books read. The taller the bar, the more books that friend read. It’s an easy way to compare at a glance who read the most and who read the least.

A bar graph is a visual tool that uses bars to represent data, allowing for easy comparison of different categories.

Why Use Bar Graphs?

Sometimes, when you have a lot of data, using a pictograph can become difficult and time-consuming. That’s when a bar graph can be really helpful. For example, let’s say you want to show the number of students in different classes who participated in a school event:

Class : 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 Students Participated : 10 | 15 | 12 | 8 | 20 | 18 | 25 | 30

A bar graph would make it easy to see which class had the most participants and how the numbers compare across classes. The higher the bar, the more students participated from that class.

Example: Favorite Ice Cream Flavors

Imagine you want to find out how many people in your neighborhood like different ice cream flavors. Here’s what you find:

Flavor : Chocolate | Vanilla | Strawberry | Mango People : 20 | 15 | 10 | 25

From this bar graph, you can easily see that Mango is the most popular flavor, followed by Chocolate, Vanilla, and Strawberry.

Understanding a Bar Graph

Let’s say you look at a bar graph that shows the number of cars passing through a busy intersection at different times of the day:

The bar graph will show taller bars for times when more cars passed and shorter bars for less busy times. For example, you might see that the busiest time is 7–8 AM, with 1200 cars, and the quietest time is 6–7 AM, with only 150 cars.

Scaling and Large Numbers

Sometimes, the numbers are too big to show directly on a bar graph. For instance, if you were showing the population of a country over several decades, you wouldn’t use one unit to represent just one person—that would make the bars way too long! Instead, you could use a scale where one unit represents 10 million people. This way, a bar that’s 5 units long represents 50 million people.

Example: Population Growth Over Time

Let’s imagine you want to show how the population in your town has grown over the years:

Year : 2000 | 2010 | 2020 Population : 50,000 | 70,000 | 100,000

This makes it easy to see how much the population has increased over time.

Key Points to Remember : Bar graphs help you compare different categories easily. The length or height of each bar represents the value for that category. Sometimes, using a scale (like 1 unit = 10 people) makes it easier to represent large numbers. Bar graphs are useful when you have a lot of data or when you want to see trends over time.

Drawing a Bar Graph

Imagine you want to track how many hours you and your friends spend playing different sports in a week. Here’s the data you collected:

Sport : Soccer | Basketball | Tennis | Swimming Hours Played : 8 | 5 | 7 | 6

To represent this data using a bar graph, follow these steps:

Draw Axes : First, draw a horizontal line (x-axis) and a vertical line (y-axis). On the horizontal line, you’ll list the names of the sports, equally spaced. On the vertical line, you’ll write the numbers representing the hours spent on each sport.

Choose a Scale : Decide how many hours will be represented by one unit length on the vertical line. If each unit represents 1 hour, it should fit nicely on your paper. In this case, 1 unit length will equal 1 hour.

Why Bar Graphs Are Useful

Bar graphs are like pictographs in that they visually represent data, making it easy to compare different categories at a glance. The key difference is that bar graphs are especially helpful when dealing with larger amounts of data or when precision is important. For example, in a bar graph showing the number of tigers in India over different years, you can quickly see how the population has increased by looking at the height of the bars.

To make the bars longer

To represent large numbers more easily

To make the data look more complex

To confuse the viewers

Artistic and Aesthetic Considerations

When you're creating a visual presentation of data, like a pictograph or a bar graph, there are some artistic and aesthetic aspects you can think about to make your presentation more interesting and effective . Besides following the basic steps, like choosing an appropriate scale to fit the graph into your space, it’s also important to make the graph visually appealing and easy to understand. This way, your audience can quickly grasp the information you're sharing.

Example: Tallest Mountains on Each Continent

Imagine you have a list of the tallest mountains on each continent and their heights:

Continent : Asia | South America | North America | Africa | Europe | Antarctica | Australia Mountain : Everest | Aconcagua | Denali | Kilimanjaro | Elbrus | Vinson Massif | Koscuiszko Height (meters) : 8848m | 6962m | 6194m | 5895m | 5642m | 4892m | 2228m

Using a Bar Graph

But here’s a tip: since we’re talking about the heights of mountains, it might be more visually appealing to rotate the bars so they grow upwards, like mountains themselves! This type of bar graph, where the bars grow vertically, is called a column graph .

Why Vertical Bars?

Vertical bars (columns) are more intuitive for representing things like height because they naturally grow upwards , just like the mountains or tall buildings they represent. On the other hand, if you were showing something like the distance between two cities, you might prefer horizontal bars, which stretch out in a line, just like the roads connecting those cities.

Vertical bars

Horizontal bars

Diagonal bars

Curved bars

Infographics

When you take data visualizations like bar graphs and make them even more visually appealing by adding artistic touches, you create something called infographics . Infographics use eye-catching visuals to communicate information more clearly and quickly, making the data both informative and engaging.

Imagine you and your friends are comparing how many apples, bananas, and oranges each of you ate last week. You could make a simple bar graph to show the numbers:

In a bar graph, each bar would represent how many of each fruit was eaten, and the height of the bar would show the number. For example:

• Apples : A bar 5 units high
• Bananas : A bar 3 units high
• Oranges : A bar 4 units high

Turning It into an Infographic

Now, let’s say you want to make this data look more fun and interesting. Instead of using plain bars, you decide to draw pictures of the fruits:

• You draw 5 apples stacked on top of each other to show how many apples were eaten.
• You draw 3 bananas in a row to represent the bananas.

This is what we call an infographic —it’s a way of showing data using pictures instead of just bars. It makes the information easier to understand and more fun to look at.

Scatter Plots

Example: Tallest Mountains

Let’s say we have the data about the tallest mountains on each continent. Initially, we used a bar graph with vertical bars to represent the heights of these mountains:

In the bar graph, each bar was the same width, and the height of the bar represented the height of the mountain.

Turning a Bar Graph into an Infographic

For example, each triangle could represent a mountain, with the height of the triangle showing how tall the mountain is. Here’s how it might look:

• Everest : A tall, sharp triangle reaching up to 8848 meters
• Aconcagua : A slightly shorter triangle at 6962 meters
• Kilimanjaro : A medium triangle at 5895 meters
• Koscuiszko : A small triangle at 2228 meters

This infographic would be more visually striking, and it might catch your attention more quickly than a plain bar graph. However, there are some things to be cautious about.

Potential Pitfalls of Infographics In this infographic, the taller triangles (mountains) might also appear wider. This could unintentionally suggest that taller mountains are also wider, which isn’t necessarily true. For example, Mount Everest is the tallest, but that doesn’t mean it’s the widest. This visual choice could be misleading, implying information that the data doesn’t actually support.

Making Infographics Even More Engaging

• Let’s take it a step further. Imagine creating an infographic where all these mountains are part of an imaginary mountain range. You could add details like snowcaps, trees, or climbers to make it look even more realistic. 
• This would definitely make the infographic more engaging and fun to look at.
• However, there’s a catch. In this realistic mountain range, Everest might look twice as tall as Elbrus. 
• But if you do the math, you’ll see that 5642 meters (the height of Elbrus) times two is 11,284 meters, which is way taller than Everest’s actual height of 8848 meters! So, while the infographic looks cool, it might give a misleading impression of the data.

Be Careful with Infographics

Infographics are a powerful tool for presenting data in a visually appealing way, but you have to be careful. While it’s great to make your data look interesting, you don’t want to accidentally mislead people by suggesting something that isn’t true. Always double-check that your visuals accurately represent the data and that they don’t add unintended meanings.

Why This Matters

While making your data look interesting, you want to make sure you’re still showing the truth. If you make one type of fruit look much bigger than the others just because of the way you drew it, you might accidentally make people think you ate more of that fruit than you actually did.

• Collecting favorite items, like ice cream flavors, creates a list, which is data.
• Data is information collected as facts, numbers, or descriptions.
• Tally marks and ordering help organize data to identify popular choices quickly.
• Pictographs use pictures to represent data; each picture can stand for one or more items.
• Bar graphs use bars to compare data; the height or length shows the value.
• Bar graphs are helpful for large data or precise comparisons, like population over years.
• Infographics make data visually appealing but must accurately represent information to avoid misleading viewers.

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6th Class Mathematics Data Handling Question Bank

Done data handling total questions - 67.

A) 5                                             done clear

B)  7 done clear

C)  12                            done clear

D) 16 done clear

A) 6                             done clear

B) 10   done clear

C) 12                          done clear

D) 26 done clear

A) 500                        done clear

B) 600   done clear

C) 700                        done clear

D) 800 done clear

A) 5                             done clear

B) 60 done clear

C)  10                                          done clear

D)  12   done clear

A) Tuesday              done clear

B) Wednesday done clear

C) Friday   done clear

D) Saturday   done clear

A) 300                        done clear

B) 330   done clear

C) 350                        done clear

D) 420 done clear

A) 20                          done clear

B) 30 done clear

C) 40                            done clear

D) 50 done clear

question_answer 9) If O represents 5 eggs how many eggs does OOOO represent?

A) 4                             done clear

B) 16 done clear

C) 20                            done clear

D) 25 done clear

A) 60                          done clear

B) 100   done clear

C) 120                        done clear

D) 260 done clear

A)  60                                            done clear

B)  20 done clear

C)  15                          done clear

D) 40 done clear

question_answer 14) A symbol is used to represent 100 flowers. How many symbols are to be drawn to show 800 flowers?

A) 8                               done clear

B) 12 done clear

C) 10                          done clear

D) 80 done clear

A) 1000      done clear

B) 1500   done clear

C) 5000      done clear

D) 2000 done clear

A) 3000        done clear

B) 1500 done clear

C) 1250      done clear

A) 1985      done clear

B) 1995 done clear

C) 1990        done clear

A) 5               done clear

B) 25 done clear

C) 15                          done clear

D) 20 done clear

question_answer 19) What is a graph drawn using vertical bars called?

A) A bar graph          done clear

B) A line graph done clear

C) A pictograph done clear

D) A pie graph done clear

B) 50 done clear

C) 6                             done clear

D) 60   done clear

A) 2                             done clear

B) 8  done clear

D) 4 done clear

B) 10 done clear

D) 4   done clear

A) 6 Lotus   done clear

B) 6 Orchid done clear

C) 6 Lily     done clear

D) 6 Rose done clear

A) 13                          done clear

C) 26                            done clear

D) 30 done clear

A) 60                            done clear

B) 40 done clear

C) 55                          done clear

A) 125                        done clear

B) 260 done clear

C) 240                        done clear

D) 225   done clear

A) 80                          done clear

B) 95 done clear

C) 100                          done clear

D) 105 done clear

B) 4   done clear

D) 8 done clear

A) 56                          done clear

B) 92   done clear

C) 84                          done clear

D) 23 done clear

A) Rs. 15                   done clear

B) Rs. 25 done clear

C) Rs. 35                     done clear

D) Rs. 40 done clear

A) 6                               done clear

D) 18 done clear

A)  4000 eggs were sold in week 3. done clear

B)  1000 eggs more were sold in week 3 than in week 1. done clear

C)  The eggs sold in week 2 is twice as many eggs sold in week 4. done clear

D)  The total number of eggs sold in all the 4 weeks is 12000.   done clear

A) 3700        done clear

B) 2800 done clear

C) 3200      done clear

D) 2900 done clear

B) 6 done clear

C) 7                               done clear

B) 5   done clear

C) 8                             done clear

D) 6 done clear

A) S                             done clear

B) M done clear

C) L                             done clear

D) XL   done clear

A) 20                            done clear

B) 2 done clear

C) 200                        done clear

D) 100 done clear

A) 30                          done clear

B) 3 done clear

C) 45                            done clear

D) 60 done clear

A)  The number of size M hats sold is the same as the number of size L hats sold. done clear

B)  The number of size M hats sold is the same as the total number of hats sold of size Land size XL   done clear

C)  The number of hats of size L is the least sold. done clear

D)  The number of hats of size XL is the maximum sold. done clear

B) Rs. 20   done clear

C) Rs. 25                   done clear

D) Rs. 10 done clear

A) 25                          done clear

B) 30   done clear

D) 45 done clear

A) 155                        done clear

B) 160   done clear

C) 140                        done clear

D) 180 done clear

A) 45                          done clear

C) 50                            done clear

D) 55 done clear

A) 8:17                         done clear

B) 20:43 done clear

C) 17:8                       done clear

D) 17:20 done clear

B) 8   done clear

C) 4                             done clear

D) 15 done clear

A) 35%                       done clear

B) 15% done clear

C) 25%                       done clear

D) 20%   done clear

A) I and IV                done clear

B) I and II done clear

C) II and IV                done clear

D) II and III done clear

A) 75                          done clear

B) 65 done clear

C) 70                            done clear

A) 130                        done clear

B) 125   done clear

C) 115                        done clear

D) 120 done clear

A) 500                          done clear

B) 205 done clear

C) 295                        done clear

D) 495 done clear

A) 85                          done clear

B) 90   done clear

C) 100                        done clear

D) 190 done clear

A) 200                        done clear

C) 20                            done clear

A) Maths  done clear

B) Arts done clear

C) Science                done clear

D) Languages   done clear

B) 6   done clear

C) 7                             done clear

question_answer 55) What is the representation of an information through pictures called?

A) A line graph       done clear

B) A bar graph done clear

C) A pictograph   done clear

D) A pie chart done clear

A)  50 huts were sold in January. done clear

B)  The highest number of huts sold in a month is 5. done clear

C)  60 huts more were sold in February than in March.   done clear

D)  The total number of huts sold in the 3 months is 110. done clear

question_answer 57) If \[\Delta \Delta \Delta \Delta \Delta \] stands for 40, what will \[\Delta \Delta \Delta \] stand for?

B) 24   done clear

C) 28                          done clear

D) 32 done clear

A) \[\frac{10}{35}\times 100%\]     done clear

B) \[\frac{14}{35}\times 100%\] done clear

C) \[\frac{21}{35}\times 100%\]       done clear

D) \[\frac{31}{35}\times 100%\] done clear

question_answer 59) What is the other name for bar diagrams?

A) Column graphs   done clear

B) Row graphs done clear

C) Line graphs        done clear

D) Pie graphs done clear

A) \[\text{10 }\!\!%\!\!\text{ }\]    done clear

B) \[\text{25 }\!\!%\!\!\text{ }\] done clear

C) \[37\frac{1}{2}%\]          done clear

D) \[\text{50 }\!\!%\!\!\text{ }\]   done clear

A) 31                          done clear

C) 19                          done clear

B) 27 done clear

C) 29                          done clear

D) 28   done clear

A) 600                        done clear

B) 650 done clear

C) 750                        done clear

D) 700   done clear

A)  Bhanu, Hari, Gopal         done clear

B)  Gopal, Hari, Kiran   done clear

C)  Gopal, Hari, Bhanu         done clear

D)  Hari, Kiran, Bhanu done clear

A)  The number of girls in class V is\[\text{2}\frac{1}{2}\] . done clear

B)  The number of girls in class VI is less than those in class II.   done clear

C)  The number of girls in class I is 6. done clear

D)  The number of girls in class VI is 20. done clear

A) 15                          done clear

C) 12                            done clear

Study Package

Question - Data Handling

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Question 1:

In a Mathematics test, the following marks were obtained by 40 students. Arrange these marks in a table using tally marks.

(a) Find how many students obtained marks equal to or more than7.

(b) How many students obtained marks below 4?

By observing the marks scored by 40 students in the test, we can construct the

table as follows.

(a) The students who obtained their marks equal to or more than 7 are the students who obtained their marks as either of 7, 8, and 9. Hence, number of these students = 5 + 4 + 3 = 12

(b) The students who obtained their marks below 4 are the students who

obtained their marks as either of 1, 2, and 3.

Hence, number of these students = 2 + 3 + 3 = 8

Page No 192:

Question 2:.

Following is the choice of sweets of 30 students of Class VI.

Ladoo, Barfi, Ladoo, Jalebi, Ladoo, Rasgulla, Jalebi, Ladoo, Barfi, Rasgulla, Ladoo, Jalebi, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo, Rasgulla, Laddo, Ladoo, Barfi, Rasgulla, Rasgulla, Jalebi, Rasgulla, Ladoo, Rasgulla, Jalebi, Ladoo.

(a) Arrange the names of sweets in a table using tally marks.

(b) Which sweet is preferred by most of the students?

By observing the choices of sweets of 30 students, we can construct the table as below.

(b) Ladoo is the most preferred sweet as the most number of students (i.e., 11) prefer Ladoo.

Question 3:

Catherine threw a dice 40 times and noted the number appearing each time as shown below:

Make a table and enter the data using tally marks. Find the number that appeared.

(a) The minimum number of times

(b) The maximum number of times

(c) Find those numbers that appear an equal number of times.

(a) The number which appeared the minimum number of times (i.e., 4 times) is 4.

(b) The number which appeared the maximum number of times (i.e., 11 times) is 5.

(c) 1 and 6 are the numbers which appear for the same number of times (i.e., 7 times).

Question 4:

Following pictograph shows the number of tractors in five villages.

Observe the pictograph and answer the following questions.

(i) Which village has the minimum number of tractors?

(ii) Which village has the maximum number of tractors?

(iii) How many more tractors village C has as compared to village B.

(iv) What is the total number of tractors in all the five villages?

(i) Village D has the minimum number of tractors, i.e., only 3 tractors.

(ii) Village C has the maximum number of tractors, i.e., 8 tractors.

(iii) Number of more tractors that village C has = 8 − 5 = 3

(iv) Total number of tractors in all these villages = 6 + 5 + 8 + 3 + 6 = 28

Page No 193:

Question 5:.

The number of girl students in each class of a co-educational middle school is depicted by the pictograph:

Observe this pictograph and answer the following questions:

(a) Which class has the minimum number of girl students?

(b) Is the number of girls in Class VI less than the number of girls in Class V ?

(c) How many girls are there in Class VII ?

From the above table, it can be concluded that in classes I, II, III, IV, V ,VI, VII, VIII, there are 24, 18, 20, 14, 10 , 16, 12, 6 girls respectively.

(a) Class VIIIhas the minimum number of girls, i.e., only 6 girls.

(b) No. In class V and VI, there are 10 and 16 girls respectively. Clearly, the number of girls is more in class VI than that in class V.

(c) There are 12 girls in class VII.

Video Solution for Data Handling (Page: 193 , Q.No.: 5)

NCERT Solution for Class 6 math - Data Handling 193 , Question 5

Question 6:

The sale of electric bulbs on different days of a week is shown below:

What can we conclude from the said pictograph?

(a) Number of bulbs sold on Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday are 12, 16, 8, 10, 14, 8, and 18 respectively.

(b) The maximum numbers of bulbs (i.e., 18) were sold on Sunday.

(c) Equal numbers of bulbs (i.e., 8) were sold on Wednesday and Saturday.

(d) The minimum numbers of bulbs (i.e., 8) were sold on Wednesday and Saturday.

(e) Total bulbs sold in the week = 12 + 16 + 8 + 10 + 14 + 8 + 18 = 86

Page No 194:

Question 7:.

In a village, six fruit merchants sold the following number of fruit baskets in a particular season:

Observe this pictograph and answer the following question:

(a) Which merchant sold the maximum number of baskets?

(b) How many fruit baskets were sold by Anwar?

(c) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?

From the above pictograph, it can be observed that the number of fruit baskets sold by Rahim, Lakhanpal, Anwar, Martin, Ranjit Singh, and Joseph are 400, 550, 700, 950, 800, and 450 respectively.

(a) Martin sold the maximum number of baskets, i.e., 950.

(b) Anwar sold 700 baskets.

(c) Anwar, Martin, and Ranjit Singh are the three merchants who have sold more than 600 baskets. Therefore, they are planning to buy a godown for the next season.

Video Solution for Data Handling (Page: 194 , Q.No.: 7)

NCERT Solution for Class 6 math - Data Handling 194 , Question 7

Page No 196:

Total number of animals in five villages are as follows:

Village A : 80 Villages B : 120

Village C : 90 Village D : 40

Village E : 60

Prepare a pictograph of these animals using one symbol ⊗ to represent 10 animals and answer the following questions:

(a) How many symbols represent animals of village E?

(b) Which village has the maximum number of animals?

(c) Which village has more animals: village A or village C?

The pictograph for the given data can be drawn as follows.

(a) 6 symbols will represent animals of village E as there were 60 animals in this village.

(b) Village B has the maximum number of animals i.e., 120.

(c) Village A and C have 80 and 90 animals in it. Clearly, Village C has more animals.

Total number of students of a school in different years is shown in the following table

(a) How many symbols represent total number of students in the year 2002?

(b) How many symbols represent total number of students for the year 1998?

B. Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?

(a) 6 symbols represent the total number of students in the year 2002.

(b) 5 complete and 1 incomplete symbols represent the total number of students in the year 1998.

B. Second pictograph is more informative.

Page No 198:

The bar graph given alongside shows the amount of wheat purchased by government during the year 1998-2002.

Read the bar graph and write down your observations. In which year was

(a) the wheat production maximum?

(b) the wheat production minimum?

(a) The wheat production was maximum in year 2002.

(b) The wheat production was minimum in year 1998.

Video Solution for Data Handling (Page: 198 , Q.No.: 1)

NCERT Solution for Class 6 math - Data Handling 198 , Question 1

Page No 199:

Observe this bar graph which is showing the sale of shirts in a ready made shop from Monday to Saturday.

Now answer the following questions:

(a) What information does the above bar graph give?

(b) What is the scale chosen on the horizontal line representing number of shirts?

(c) On which day was the maximum number of shirts sold? How many shirts were sold on that day?

(d) On which day was the minimum number shirts sold?

(e) How many shirts were sold on Thursday?

(a) This bar graph represents the number of shirts sold from Monday to Saturday.

(b) 1 unit = 5 shirts

(c) The number of shirts sold on Saturday was the maximum, i.e., 60.

(d) The number of shirts sold on Tuesday was the minimum, i.e., 10.

(e) 35 shirts were sold on Tuesday.

Observe this bar graph which shows the marks obtained by Aziz in half-yearly examination in different subjects.

Answer the given questions.

(a) What information does the bar graph give?

(b) Name the subject in which Aziz scored maximum marks.

(c) Name the subject in which he has scored minimum marks.

(d) State the name of the subjects and marks obtained in each of them.

(a) This graph shows the marks obtained by Aziz in different subjects.

(b) In Hindi, Aziz scored maximum marks i.e., 80.

(c) In Social studies, Aziz scored minimum marks i.e., 40.

(d) Hindi − 80 English − 60 Maths − 70

Science − 50 Social studies − 40

Video Solution for Data Handling (Page: 199 , Q.No.: 3)

NCERT Solution for Class 6 math - Data Handling 199 , Question 3

Page No 202:

A survey of 120 school students was done to find which activity they prefer to do in their free time.

Draw a bar graph to illustrate the above data taking scale of 1 unit length = 5 students.

Which activity is preferred by most of the students other than playing?

By taking a scale of 1 unit length = 5 students, a bar graph of the above given data can be drawn as follows.

The activity that is preferred by most of the students, other than playing, is reading story books.

Page No 203:

The number of Mathematics books sold by a shopkeeper on six consecutive days is shown below:

Draw a bar graph to represent the above information choosing the scale of your choice.

By taking a scale of 1 unit length = 10 books, a bar graph of the above given data can be drawn as follows.

Following table shows the number of bicycles manufactured in a factory during the years 1998 to 2002. Illustrate this data using a bar graph. Choose a scale of your choice.

(a) In which year was the maximum number of bicycles manufactured?

(b) In which year was the minimum number of bicycles manufactured?

By taking a scale of 1 unit length = 100 bicycles, a bar graph of the above given data can be drawn as follows.

(a) The number of bicycles manufactured in 2002 was the maximum, i.e., 1200.

(b) The number of bicycles manufactured in 1999 was the minimum, i.e., 600.

Number of persons in various age groups in a town is given in the following table.

Draw a bar graph to represent the above information and answer the following questions. (take 1 unit length = 20 thousands)

(a) Which two age groups have same population?

(b) All persons in the age group of 60 and above are called senior citizens. How many senior citizens are there in the town?

By taking a scale of 1 unit length = 20 thousands, a bar graph of the above given data can be drawn as follows.

(a) 30 − 44 and 45 − 59 are the two age groups which have the same population.

(b) It can be inferred that senior citizens are the people who are either from age group 60 − 74 or from age group 75 and above.

Hence, number of senior citizens = 80,000 + 40,000

= 1 lakh 20 thousand

View NCERT Solutions for all chapters of Class 6

• RD Sharma Solutions
• Chapter 22 Data Handling Pictographs

RD Sharma Solutions for Class 6 Maths Chapter 22: Data Handling - II (Pictographs)

After collection and organization of the given set of data, the next step is to get some useful information from it. So the data should be represented pictorially. The study of numerical data through pictures or graphs is known as the pictorial representation or graph of the data. The method of representing numerical data by using picture symbols is called a pictograph.

The primary objective of designing solutions is to help students understand the concepts in a better way. The students can make use of solutions’ PDF while solving the problems as per the RD Sharma textbook. To gain expertise in the subject, the students can download RD Sharma Solutions for Class 6   Maths Chapter 22 Data Handling – II (Pictographs) PDF which are provided here.

• RD Sharma Solutions Class 6 Maths Chapter 1 Knowing our Numbers
• RD Sharma Solutions Class 6 Maths Chapter 2 Playing with numbers
• RD Sharma Solutions Class 6 Maths Chapter 3 Whole Numbers
• RD Sharma Solutions Class 6 Maths Chapter 4 Operations on Whole Numbers
• RD Sharma Solutions Class 6 Maths Chapter 5 Negative Numbers and Integers
• RD Sharma Solutions Class 6 Maths Chapter 6 Fractions
• RD Sharma Solutions Class 6 Maths Chapter 7 Decimals
• RD Sharma Solutions Class 6 Maths Chapter 8 Introduction to Algebra>
• RD Sharma Solutions Class 6 Maths Chapter 9 Ratio, Proportion and Unitary Method
• RD Sharma Solutions Class 6 Maths Chapter 10 Basic Geometrical Concepts
• RD Sharma Solutions Class 6 Maths Chapter 11 Angles
• RD Sharma Solutions Class 6 Maths Chapter 12 Triangles
• RD Sharma Solutions Class 6 Maths Chapter 13 Quadrilaterals
• RD Sharma Solutions Class 6 Maths Chapter 14 Circles
• RD Sharma Solutions Class 6 Maths Chapter 15 Pair of Lines and Transversal
• RD Sharma Solutions Class 6 Maths Chapter 16 Understanding Three Dimensional Shapes
• RD Sharma Solutions Class 6 Maths Chapter 17 Symmetry
• RD Sharma Solutions Class 6 Maths Chapter 18 Basic Geometrical Tools
• RD Sharma Solutions Class 6 Maths Chapter 19 Geometrical Constructions
• RD Sharma Solutions Class 6 Maths Chapter 20 Mensuration
• RD Sharma Solutions Class 6 Maths Chapter 21 Data Handling – I (Presentation of Data)
• RD Sharma Solutions Class 6 Maths Chapter 22 Data Handling – II (Pictographs)
• RD Sharma Solutions Class 6 Maths Chapter 23 Data Handling – III (Bar Graphs)
• Exercise 22.1 Chapter 22 Data Handling – II (Pictographs)
• Exercise 22.2 Chapter 22 Data Handling – II (Pictographs)

RD Sharma Solutions for Class 6 Maths Chapter 22: Data Handling – II (Pictographs) Download PDF

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Access answers to Maths RD Sharma Solutions for Class 6 Chapter 22: Data Handling – II (Pictographs)

Exercise 22.1 page: 22.5.

1. The sale of electric bulbs on different days of a week is shown below:

Observe the pictograph and answer the following questions:

(i) How many bulbs were sold on Friday?

(ii) On which day maximum number of bulbs were sold?

(iii) If one bulb was sold at the rate of Rs 10, what was the total earning on Sunday?

(iv) Can you find out the total earning of the week?

(v) If one big carton can hold 9 bulbs. How many cartons were needed in the given week, more than 7, more than 8 or more than 9?

(i) No. of bulbs shown on Friday = 7

Given that 1 figure = 2 bulbs

So the total number of bulbs sold on Friday = 2 × 7 = 14

Hence, 14 bulbs were sold on Friday.

(ii) From the pictograph, Sunday shows the maximum bulb figures.

Hence, maximum number of bulbs were sold on Sunday.

(iii) No. of bulb figures sold on Sunday = 2 × 9 = 18

Given that Cost of one bulb = Rs 10

So the total earning on Sunday = 10 × 18 = Rs 180

(iv) Total bulb figures shown throughout the week = 6 + 8 + 4 + 5 + 7 + 4 + 9 = 43

So the total number of bulbs = 43 × 2 = 86

Total earning of the week = 10 × 86 = Rs 860

(v) We know that total number of bulbs = 86

It is given that one carton can hold 9 bulbs

So for holding 86 bulbs we require = 86 × 9 = 774 cartons

Hence, more than 9 cartons are needed.

2. A survey was carried out in a certain school to find about the different modes of transport used by students to travel to school each day. 30 students of class VI were interviewed and the data obtained was displayed in the form of a pictographs given below:

Look at the above pictograph and answer the following questions:

(i) How many students are using cycle or walking as a mode of travel?

(ii) Which is the most popular mode of travel?

(i) From the pictograph we know that

No. of students using cycle = 3

No. of students using walking as a mode of travel = 8

So the number of students using cycle or walking as a mode of travel = 3 + 8 = 11

(ii) From the pictograph we know that maximum number of students use school bus as a mode of travel.

Hence, the most popular mode of travel to school is school bus.

3. The number of girl students in each class of co-ed. Middle school is depicted by the following pictograph:

Observe the above pictograph and answer the following questions:

(i) Which class has the maximum number of girl students?

(ii) Is the number of girls in class VI less than the number of girls in class V?

(iii) How many girls are there in VII class?

Using the above pictograph, we can prepare the chart to find the number of girl students in each class.

It is given that 1 figure = 4 girls

(i) Using the chart we come to know that maximum number of girls are present in Class I.

Hence, Class I has the maximum number of girls.

(ii) Using the chart we come to know that

No. of girls in Class VI = 16

No. of girls in Class V = 10

No, the number of girls in class VI is not less than the number of girls in class V.

(iii) Using the chart we know that 12 girls are there in Class VII.

4. In a village, six fruit merchants sold the following number of fruit baskets in a particular season:

Observe the above pictograph and answer the following questions.

(i) Which merchant sold the maximum number of baskets?

(ii) How many fruit baskets were sold by Anwar?

(iii) The merchants who have sold 600 or more number of baskets are planning to buy a godown for the next season. Can you name them?

We know that 1 figure = 100 fruit baskets

Using the above pictograph, we can prepare a chart to find the maximum number of fruit baskets sold by each merchant.

(i) From the above chart we come to know that Martin has sold maximum number of fruit baskets.

(ii) 700 fruit baskets were sold by Anwar.

(iii) From the chart we know that Anwar has sold 700 fruit baskets, Martin has sold 950 fruit baskets and Ranjit Singh had sold 800 fruit baskets.

Hence, Anwar, Martin and Ranjit Singh are planning to buy a godown for the next season.

5. The pictograph shows different subject books which are kept in a library.

(i) How many English books are there in the library?

(ii) How many Maths books are there?

(iii) Which books are maximum in number?

(iv) Which books are minimum in number?

Using the above pictograph we can prepare the chart to find the number of books present in the library:

(i) Using the chart, we come to know that 800 English books are there in the library.

(ii) From the chart, we come to know that 250 Math books are there in the library.

(iii) We come to know that English books are maximum in number from the above chart.

(iv) We come to know that History books are minimum in number from the above chart.

Exercise 22.2 page: 22.9

1. The following are the details or the number of students in a class of 30 students present during a week.

Represent the above data by a pictograph.

Consider that an icon of a student represent 4 students. So the number of icons for each day is given below:

So the pictograph which represents the above data is as follows:

2. Total number of students of a school in different years is shown in the following table:

(a) Prepare a pictograph of students using one symbol an icon of a student to represent 100 students and answer the following questions:

(i) How many symbols represent total number of students in the year 2002?

(ii) How many symbols represent total number of students for the year 1998?

(b) Prepare another pictograph of students using any other symbol each representing 50 students. Which pictograph do you find more informative?

(a) Consider that one icon represents 100 students.

So the number of icons for different years is given below:

(i) 6 symbols represent total number of students in the year 2002.

(ii) 5 and half symbols represent total number of students in the year 1998.

(b) Consider one icon represents 50 students.

So the number of icons for different years is as given below:

The second pictograph is more informative as every icon is complete and more convenient to understand.

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RS Aggarwal Class 6 Solutions Chapter 22 Data Handling

RS Aggarwal Solutions Class 6 Chapter 22 Data Handling is provided here. These solutions are solved by expert teachers in detail to help the students in exam preparation. RS Aggarwal Solutions Class 6 help to complete your homework and revise the whole syllabus.

Class 6 RS Aggarwal Chapter 22 Data Handling Solutions

RS Aggarwal Class 6 Maths Solutions Chapter 22 Data Handling

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Chapter Brief of RS Aggarwal Solutions for Class 6 Maths 22 Data Handling

RS Aggarwal Solutions Class 6 Chapter 22 Data Handling consists of 1 exercise. Study Path has solved each question of these exercises in detail. Topics that are explained in this chapter are given below. 

• Tabulation of data
• Observations
• Frequency of an observation

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