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About Data Handling — Class 8 CBSE

Organize data using frequency tables, draw histograms and pie charts, and introduction to probability. This topic is part of the CBSE Class 8 mathematics syllabus (chapter: Chapter 15). 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.

Data Handling — solved examples for Class 8 CBSE

Example 1easy

What is the range of the data set: 12, 18, 7, 25, 14?
  1. A)18
  2. B)25
  3. C)7
  4. D)11

Step-by-step solution

  1. The maximum value is 25 and the minimum value is 7.
  2. Range:
    25−7=1825 − 7 = 18

Answer: 18

Example 2medium

The following data shows marks of students: 10–20 (freq 4), 20–30 (freq 8), 30–40 (freq 12), 40–50 (freq 6). Which class interval has the highest frequency?
  1. A)10–20
  2. B)20–30
  3. C)30–40
  4. D)40–50

Step-by-step solution

  1. Frequencies: 10–20 → 4, 20–30 → 8, 30–40 → 12, 40–50 → 6.
  2. The highest frequency is 12, which belongs to the class interval 30–40.

Answer: 30–40

Example 3hard

Three coins are tossed simultaneously. What is the probability of getting exactly two heads?
  1. A)1/8
  2. B)3/8
  3. C)1/4
  4. D)1/2

Step-by-step solution

  1. Sample space: {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} → 8 outcomes.
  2. Outcomes with exactly 2 heads: {HHT, HTH, THH} → 3.
  3. Probability:
    P(exactly2H)=3/8P(exactly 2H) = 3/8

Answer: 3/8

Practice questions on Data Handling

  1. Q1.easy

    In a frequency distribution table, the frequency of a class interval represents:
    1. A)The width of the class
    2. B)The number of observations in that class
    3. C)The midpoint of the class
    4. D)The upper limit of the class
    Show answer

    Answer: The number of observations in that class

    Hint: Frequency means how many times something occurs.

  2. Q2.easy

    A coin is tossed once. What is the probability of getting a head?
    1. A)0
    2. B)1/2
    3. C)1
    4. D)1/4
    Show answer

    Answer: 1/2

    Hint: A coin has two equally likely outcomes.

  3. Q3.easy

    Which of the following is used to represent data using rectangular bars of equal width?
    1. A)Pie chart
    2. B)Line graph
    3. C)Bar graph
    4. D)Frequency polygon
    Show answer

    Answer: Bar graph

    Hint: Think of vertical or horizontal rectangular bars.

  4. Q4.medium

    A die is thrown once. What is the probability of getting an even number?
    1. A)1/6
    2. B)1/3
    3. C)1/2
    4. D)2/3
    Show answer

    Answer: 1/2

    Hint: Even numbers on a die are 2, 4, and 6.

  5. Q5.medium

    In a pie chart, if an item has a central angle of 120°, what percentage of the total does it represent?
    1. A)25%
    2. B)30%
    3. C)33.3%
    4. D)40%
    Show answer

    Answer: 33.3%

    Hint: Percentage = (central angle / 360°) × 100.

  6. Q6.medium

    A frequency distribution has class intervals 0–5, 5–10, 10–15, 15–20. The observation 10 is included in which class?
    1. A)5–10
    2. B)10–15
    3. C)Both 5–10 and 10–15
    4. D)Neither
    Show answer

    Answer: 10–15

    Hint: In a continuous frequency distribution, the upper limit of one class is the lower limit of the next. The convention is that the upper limit is excluded.

  7. Q7.hard

    A pie chart shows that the central angle for transport is 72°. If a family's total monthly expenditure is ₹15,000, how much is spent on transport?
    1. A)₹2000
    2. B)₹2500
    3. C)₹3000
    4. D)₹3500
    Show answer

    Answer: ₹3000

    Hint: Amount = (angle / 360) × total expenditure.

  8. Q8.hard

    The frequency distribution of weights (kg) is: 40–45 (freq 4), 45–50 (freq 10), 50–55 (freq 14), 55–60 (freq 8), 60–65 (freq 4). What is the class mark of the modal class?
    1. A)47.5
    2. B)50
    3. C)52.5
    4. D)55
    Show answer

    Answer: 52.5

    Hint: Modal class has the highest frequency. Class mark = (lower + upper) / 2.

  9. Q9.hard

    Two dice are thrown simultaneously. What is the probability that the sum of the numbers is 7?
    1. A)1/6
    2. B)5/36
    3. C)7/36
    4. D)1/12
    Show answer

    Answer: 1/6

    Hint: List pairs that sum to 7: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1).

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