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About Data Handling — Class 7 ICSE

Organize and interpret data using frequency tables, bar graphs, and double bar graphs. This topic is part of the ICSE Class 7 mathematics syllabus (chapter: Chapter 12). 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 its Collection
  • Organizing Data: Frequency Distribution Tables
  • Representing Data: Bar Graphs
  • Advanced Representation: Double Bar Graphs
  • Interpreting Data and Lesson Summary

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

Data Handling — solved examples for Class 7 ICSE

Example 1easy

Which of the following statements about 'data' is TRUE?
  1. A)A) Data always consists of numerical figures only.
  2. B)B) Data is always arranged in alphabetical order when collected.
  3. C)C) Data is a collection of facts, such as numbers, words, measurements, or observations.
  4. D)D) Data can only be collected through surveys.

Step-by-step solution

  1. Data refers to raw facts and figures collected for a specific purpose.
  2. It can be in various forms, including numbers (like ages), words (like favourite colours), measurements (like heights), or other observations.
  3. Therefore, option C provides the most comprehensive and accurate definition of data.

Answer: C) Data is a collection of facts, such as numbers, words, measurements, or observations.

Example 2medium

Information collected in the form of numerical figures or facts for a specific purpose is called:
  1. A)A) Graph
  2. B)B) Data
  3. C)C) Frequency
  4. D)D) Tally

Step-by-step solution

  1. Data is a collection of facts, such as numbers, words, measurements, observations, or even just descriptions of things.
  2. When collected for a specific purpose, it forms the basis for statistical analysis in data handling.

Answer: B) Data

Example 3hard

The marks (out of 10) of 10 students are: 5, 7, 8, 5, 9, 7, 6, 8, 9, 6. What is the mode of this data?
  1. A)7
  2. B)5, 6, 7, 8, 9
  3. C)No mode
  4. D)10

Step-by-step solution

  1. Arrange the data in ascending order: 5, 5, 6, 6, 7, 7, 8, 8, 9, 9.
  2. Count the frequency of each mark: 5 appears 2 times, 6 appears 2 times, 7 appears 2 times, 8 appears 2 times, 9 appears 2 times.
  3. Since all marks (5, 6, 7, 8, 9) appear with the same highest frequency (2), all of them are considered modes.

Answer: 5, 6, 7, 8, 9

Practice questions on Data Handling

  1. Q1.easy

    The primary purpose of organizing raw data into a frequency distribution table is:
    1. A)A) To make it easier to understand and interpret patterns in the data.
    2. B)B) To convert all numerical data into non-numerical data.
    3. C)C) To calculate the sum of all observations quickly.
    4. D)D) To ensure that all data points are unique.
    Show answer

    Answer: A) To make it easier to understand and interpret patterns in the data.

    Hint: Consider why we don't usually work directly with a long, unarranged list of numbers.

  2. Q2.easy

    Rohan was recording the number of students who chose different fruits as their favourite. For 'Apple', he recorded |||| ||. Which of the following statements about Rohan's tally marks is TRUE?
    1. A)A) Rohan correctly recorded 7 votes for Apple.
    2. B)B) Rohan made a mistake, he should have used a diagonal line for every 4th tally mark.
    3. C)C) Rohan correctly recorded 6 votes for Apple.
    4. D)D) Rohan made a mistake, the fifth tally mark should be a diagonal line across the first four.
    Show answer

    Answer: D) Rohan made a mistake, the fifth tally mark should be a diagonal line across the first four.

    Hint: Recall the standard method for grouping tally marks to count in fives.

  3. Q3.easy

    The marks obtained by 10 students in a math test are: 12, 15, 12, 18, 20, 15, 12, 15, 18, 12. What is the frequency of the mark '12'?
    1. A)A) 2
    2. B)B) 4
    3. C)C) 3
    4. D)D) 5
    Show answer

    Answer: B) 4

    Hint: Frequency means how many times a particular observation appears in the given data set.

  4. Q4.medium

    A group of students recorded their favourite colours as follows: Red, Blue, Green, Red, Yellow, Blue, Red, Green, Blue, Red. What is the frequency of the colour Red?
    1. A)A) 3
    2. B)B) 4
    3. C)C) 5
    4. D)D) 6
    Show answer

    Answer: B) 4

    Hint: Count how many times the colour 'Red' appears in the given list of favourite colours.

  5. Q5.medium

    In a frequency distribution, the number of times a particular observation occurs is called its ________.
    1. A)A) Range
    2. B)B) Mean
    3. C)C) Frequency
    4. D)D) Mode
    Show answer

    Answer: C) Frequency

    Hint: This term directly defines how often a specific data point or value appears within a dataset.

  6. Q6.medium

    The marks obtained by 5 students in a math test are 15, 20, 10, 25, 30. What is the mean (average) mark?
    1. A)A) 18
    2. B)B) 20
    3. C)C) 22
    4. D)D) 24
    Show answer

    Answer: B) 20

    Hint: To find the mean, sum all the observations and then divide by the total number of observations.

  7. Q7.hard

    The average age of 5 students in a class is 12 years. If a new student joins the class, and the average age of all 6 students becomes 12.5 years, what is the age of the new student?
    1. A)13 years
    2. B)14 years
    3. C)15 years
    4. D)16 years
    Show answer

    Answer: 15 years

    Hint: First, calculate the total sum of ages for both scenarios (before and after the new student joined). The difference will reveal the new student's age.

  8. Q8.hard

    The following observations are arranged in ascending order: 12, 15, x, x+2, 21, 25. If the median of the data is 18, what is the value of x?
    1. A)16
    2. B)17
    3. C)18
    4. D)19
    Show answer

    Answer: 17

    Hint: For an even number of observations, the median is the average of the two middle terms. Set up an equation using this definition.

  9. Q9.hard

    The weights (in kg) of 7 students are 35, 42, 38, 45, 30, 40, 32. If a new student weighing 55 kg joins the group, how will the range of the weights change?
    1. A)It will decrease.
    2. B)It will increase.
    3. C)It will remain the same.
    4. D)It cannot be determined.
    Show answer

    Answer: It will increase.

    Hint: Calculate the range before and after the new student joins. Remember, range is the difference between the highest and lowest values.

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.