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About Data Handling — Class 6 ICSE

Collect, organize, and represent data using bar graphs and pictographs. This topic is part of the ICSE Class 6 mathematics syllabus (chapter: Chapter 11). 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

  • Introduction to Data and Data Handling
  • Organizing Data: Tally Marks and Frequency Tables
  • Representing Data: Pictographs
  • Representing Data: Bar Graphs
  • Summary, Connections, and Exam Preparation

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

Data Handling — solved examples for Class 6 ICSE

Example 1easy

A teacher asks 30 students about their favourite fruit. This is an example of:
  1. A)Collection of data
  2. B)Organisation of data
  3. C)Representation of data
  4. D)Interpretation of data

Step-by-step solution

  1. When a teacher asks students about their favourite fruit, she is gathering raw information.
  2. Gathering raw information from a source is called collection of data.

Answer: Collection of data

Example 2medium

The marks scored by 7 students are: 45, 55, 40, 55, 60, 55, 50. Find the mode and range.
  1. A)Mode = 55, Range = 20
  2. B)Mode = 50, Range = 15
  3. C)Mode = 55, Range = 15
  4. D)Mode = 45, Range = 20

Step-by-step solution

  1. Count frequencies: 40(1), 45(1), 50(1), 55(3), 60(1). Mode = 55 (appears 3 times).
  2. Range:
    60−40=2060 - 40 = 20
  3. So Mode = 55 and Range = 20.

Answer: Mode = 55, Range = 20

Example 3hard

The mean of 10 observations is 15. If one observation 25 is replaced by 5, what is the new mean?
  1. A)12
  2. B)13
  3. C)14
  4. D)11

Step-by-step solution

  1. Original sum:
    15x10=15015 x 10 = 150
  2. New sum after replacing 25 with 5:
    150−25+5=130150 - 25 + 5 = 130
  3. New mean:
    130/10=13130 / 10 = 13

Answer: 13

Practice questions on Data Handling

  1. Q1.easy

    In a tally chart, the symbol |||| (four vertical lines with a diagonal line through them) represents which number?
    1. A)4
    2. B)5
    3. C)6
    4. D)10
    Show answer

    Answer: 5

    Hint: We draw four vertical lines and then cross them with a fifth diagonal line to make counting easier.

  2. Q2.easy

    The marks obtained by 5 students in a maths test are: 8, 6, 7, 9, 5. What is the range of the data?
    1. A)3
    2. B)4
    3. C)5
    4. D)9
    Show answer

    Answer: 4

    Hint: Range = Highest value - Lowest value.

  3. Q3.easy

    Find the mean of the numbers: 4, 6, 8, 10, 12.
    1. A)6
    2. B)8
    3. C)10
    4. D)12
    Show answer

    Answer: 8

    Hint: Mean = Sum of all observations / Number of observations.

  4. Q4.medium

    The mean of 5 numbers is 12. If four of the numbers are 10, 14, 8, and 15, what is the fifth number?
    1. A)11
    2. B)13
    3. C)12
    4. D)10
    Show answer

    Answer: 13

    Hint: Mean x Number of values = Sum of all values. Find the total sum first, then subtract the known values.

  5. Q5.medium

    A bar graph shows the number of students in different houses: Red = 40, Blue = 35, Green = 45, Yellow = 30. What is the total number of students?
    1. A)140
    2. B)145
    3. C)150
    4. D)155
    Show answer

    Answer: 150

    Hint: Add the values represented by all four bars.

  6. Q6.medium

    The following are the ages of members of a cricket club: 12, 14, 12, 15, 13, 14, 12, 16, 14, 12. Create a frequency table. Which age has the highest frequency?
    1. A)12
    2. B)13
    3. C)14
    4. D)15
    Show answer

    Answer: 12

    Hint: Count how many times each age appears and compare.

  7. Q7.hard

    The mean of five numbers is 20. If each number is increased by 4, what is the new mean?
    1. A)20
    2. B)22
    3. C)24
    4. D)100
    Show answer

    Answer: 24

    Hint: If every value increases by the same amount, how does the mean change?

  8. Q8.hard

    A bar graph shows the number of cars sold by a dealer over 5 months: Jan=30, Feb=45, Mar=25, Apr=50, May=40. By how much did sales increase from March to April?
    1. A)20
    2. B)25
    3. C)15
    4. D)10
    Show answer

    Answer: 25

    Hint: Find the difference between April and March sales.

  9. Q9.hard

    The marks obtained by 12 students in a test are: 35, 40, 45, 50, 40, 55, 40, 60, 45, 40, 50, 40. Find the mean, mode, and range.
    1. A)Mean = 45, Mode = 40, Range = 25
    2. B)Mean = 44, Mode = 45, Range = 20
    3. C)Mean = 45, Mode = 45, Range = 25
    4. D)Mean = 44, Mode = 40, Range = 25
    Show answer

    Answer: Mean = 45, Mode = 40, Range = 25

    Hint: Calculate each measure separately: Mean = Sum/Count, Mode = most frequent, Range = max - min.

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.