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About Data Handling & Presentation — Class 6 CBSE

Collect, organize, and represent data using pictographs, bar graphs, and tally charts. This topic is part of the CBSE Class 6 mathematics syllabus (chapter: Chapter 4). On this page you can practice 60 questions across three difficulty levels — 20 easy, 20 medium, and 20 hard — each with a visual step-by-step solution, plus a timed 35-question mastery test with a live leaderboard. Worked examples and sample questions from the topic are below.

What you'll learn in Data Handling & Presentation

  • Introduction to Data: What is Data?
  • Organizing Data: Using Tally Marks
  • Representing Data: Pictographs
  • Representing Data: Bar Graphs
  • Summary, Connections, and Practice

Interactive lesson · about 15 minutes · checkpoint question after every unit

Data Handling & Presentation — solved examples for Class 6 CBSE

Example 1easy

Which of the following statements best describes 'data' in the context of data handling?
  1. A)It is always a set of numbers arranged in ascending order.
  2. B)It refers to the raw facts and figures collected for a specific purpose.
  3. C)It is a completed graph or chart that shows patterns.
  4. D)It is a single, pre-calculated answer to a mathematical problem.

Step-by-step solution

  1. Data refers to the unorganized facts, figures, and information collected from various sources.
  2. Before data can be analyzed or presented, it exists in its raw form.
  3. Therefore, raw facts and figures are the best description of data.

Answer: It refers to the raw facts and figures collected for a specific purpose.

Example 2medium

Which of the following best describes 'data' in the context of data handling?
  1. A)A. A single number
  2. B)B. A collection of facts or figures
  3. C)C. A picture representing information
  4. D)D. A table with rows and columns

Step-by-step solution

  1. Data refers to a collection of observations, facts, or figures gathered for a specific purpose.
  2. These facts can be numbers, words, measurements, observations, or descriptions, making 'A collection of facts or figures' the most accurate description.

Answer: B. A collection of facts or figures

Example 3hard

A teacher wants to find out the favourite fruit of students in her Class 6. She asks only the students who brought apples for lunch that day. She then concludes that apples are the most popular fruit. Which of the following statements is TRUE about her conclusion?
  1. A)The conclusion is definitely true because many students brought apples.
  2. B)The conclusion is likely false because the data collected is biased.
  3. C)The conclusion is true because she surveyed her own class.
  4. D)The conclusion cannot be determined without knowing the total number of students.

Step-by-step solution

  1. The teacher only asked students who brought apples. This means the sample surveyed was not random or representative of the whole class's fruit preferences, as it specifically targeted those who already like/chose apples for lunch.
  2. By only asking apple-eaters, she introduced a bias into her data collection, making it highly probable that apples would appear as the most popular fruit in her survey.
  3. Therefore, her conclusion is likely false because the data collection method was flawed and biased, not accurately reflecting the general preferences of all students in the class.

Answer: The conclusion is likely false because the data collected is biased.

Practice questions on Data Handling & Presentation

  1. Q1.easy

    A teacher asked students about their favorite colors. She recorded the responses: Red, Blue, Green, Red, Yellow, Blue, Red, Green, Blue, Red. How many students chose 'Red' as their favorite color?
    1. A)2
    2. B)3
    3. C)4
    4. D)5
    Show answer

    Answer: 4

    Hint: Carefully count each instance of the word 'Red' in the given list of responses.

  2. Q2.easy

    Rohan is counting the number of different types of birds he sees in his garden. He saw 8 sparrows. Which of the following correctly represents 8 sparrows using tally marks?
    1. A)|||| |||
    2. B)|||| ||||
    3. C)|||| |
    4. D)|| ||||
    Show answer

    Answer: |||| |||

    Hint: Remember that a bundle of four tally marks with a diagonal line across them represents a count of five.

  3. Q3.easy

    In a survey, 25 students chose 'Cricket' as their favorite sport. If a pictograph uses a symbol of a cricket bat to represent 5 students, how many cricket bat symbols should be drawn for 'Cricket'?
    1. A)4
    2. B)5
    3. C)20
    4. D)25
    Show answer

    Answer: 5

    Hint: Divide the total number of students by the value each symbol represents.

  4. Q4.medium

    A teacher recorded the favorite fruits of 20 students as follows: Apple, Mango, Banana, Orange, Apple, Mango, Apple, Banana, Mango, Apple, Orange, Apple, Mango, Banana, Apple, Mango, Apple, Orange, Banana, Mango. How many students chose 'Apple' as their favorite fruit using tally marks?
    1. A)A. |||| ||
    2. B)B. |||| |
    3. C)C. |||| |||
    4. D)D. ||||
    Show answer

    Answer: A. |||| ||

    Hint: Count the occurrences of 'Apple' carefully and remember that a group of five tally marks is represented by a diagonal line across four vertical lines.

  5. Q5.medium

    A survey was conducted to find the number of vehicles passing a school in an hour. The tally marks for different types of vehicles are: Car: |||| ||||, Bus: |||| |, Bicycle: |||| |||| ||. How many more Bicycles passed than Buses?
    1. A)A. 9
    2. B)B. 11
    3. C)C. 6
    4. D)D. 5
    Show answer

    Answer: C. 6

    Hint: First, convert the tally marks for Bicycles and Buses into numbers, then find the difference between them.

  6. Q6.medium

    A die was thrown 30 times, and the outcomes were recorded. A frequency table was started:
    | Outcome | Tally Marks | Frequency |
    |---|---|---|
    | 1 | |||| | 5 |
    | 2 | |||| | | 6 |
    | 3 | |||| || | 7 |
    | 4 | |||| | 5 |
    | 5 | ? | ? |
    | 6 | |||| | | 6 |
    The total number of throws was 30. What is the frequency for outcome '5'?
    1. A)A. 3
    2. B)B. 2
    3. C)C. 4
    4. D)D. 1
    Show answer

    Answer: D. 1

    Hint: The sum of all frequencies in a frequency distribution table must equal the total number of observations.

  7. Q7.hard

    Ram recorded the number of cars passing his house every 10 minutes for an hour. He used tally marks. He noted that the number of cars in the first 30 minutes was 6 less than the number of cars in the next 30 minutes. If his tally chart for the whole hour shows 8 groups of `|` and 2 individual `|` marks, how many cars passed in the first 30 minutes?
    1. A)18
    2. B)24
    3. C)21
    4. D)15
    Show answer

    Answer: 18

    Hint: First, calculate the total number of cars from the tally marks. Then, use the given relationship between the two halves of the hour to find the count for the first 30 minutes.

  8. Q8.hard

    A frequency distribution table shows the number of students who prefer certain sports. The total number of students surveyed is 73.
    | Sport | Number of Students |
    | :---------- | :----------------- |
    | Cricket | 25 |
    | Football | ? |
    | Badminton | 18 |
    | Basketball | ? |
    | Other Sports| 10 |
    If the number of students who prefer Football is three times the number of students who prefer Basketball, how many students prefer Football?
    1. A)5
    2. B)10
    3. C)15
    4. D)20
    Show answer

    Answer: 15

    Hint: First, sum the known frequencies and subtract from the total to find the combined count for Football and Basketball. Then use the given ratio to determine the individual counts.

  9. Q9.hard

    A pictograph represents the number of books sold by a bookstore over four days.
    Monday: 5 books
    Tuesday: 7 books
    Wednesday: 4 books
    Thursday: 8 books
    The pictograph uses the symbol `[book_icon]` to represent 2 books. If the store manager decides to change the scale so that `[book_icon]` represents 4 books, how many *fewer* symbols would be needed for Thursday's sales compared to the original pictograph?
    1. A)1
    2. B)2
    3. C)3
    4. D)4
    Show answer

    Answer: 2

    Hint: Calculate the number of symbols needed for Thursday with the original scale and then with the new scale. Then find the difference.

These are 9 of the 60 questions available for Data Handling & Presentation. Start practicing above to unlock visual solutions, AI coaching, and the topic leaderboard — completely free.