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About Statistics — Class 9 CBSE

Collect data, draw frequency tables and histograms, and compute mean, median, and mode. This topic is part of the CBSE Class 9 mathematics syllabus (chapter: Chapter 14). 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.

Statistics — solved examples for Class 9 CBSE

Example 1easy

Which of the following is an example of 'primary data'?
  1. A)Data from a census report published by the government.
  2. B)Information about historical events from a textbook.
  3. C)Marks of students collected by their class teacher through a test.
  4. D)Stock prices obtained from a financial website.

Step-by-step solution

  1. Primary data refers to data collected by the investigator himself/herself for a specific purpose directly from the source.
  2. When a class teacher conducts a test and records the marks, they are collecting this data firsthand, making it primary data.
  3. Options A, B, and D describe data that has already been collected, compiled, or published by others, which falls under secondary data.

Answer: Marks of students collected by their class teacher through a test.

Example 2medium

Data collected by an investigator himself for a definite purpose in an enquiry is called:
  1. A)Primary data
  2. B)Secondary data
  3. C)Grouped data
  4. D)Raw data

Step-by-step solution

  1. Primary data refers to the original data collected by the investigator himself for a specific purpose.
  2. Secondary data, on the other hand, is data obtained from a source that has already collected it.

Answer: Primary data

Example 3hard

A team of researchers wants to study the sleeping patterns of Class 9 students. They collect data in two ways: (1) They distribute a survey to 200 students asking about their sleep duration, and (2) They consult a report published by the World Health Organization (WHO) on adolescent sleep. Which of the following statements is TRUE regarding the data collected?
  1. A)The survey data is secondary data, and the WHO report data is primary data.
  2. B)Both the survey data and the WHO report data are primary data.
  3. C)The survey data is primary data, and the WHO report data is secondary data.
  4. D)Both the survey data and the WHO report data are secondary data.

Step-by-step solution

  1. Primary data is data collected directly by the researcher for their specific purpose. The survey data collected by the research team from students is primary data.
  2. Secondary data is data that has already been collected by someone else and is available for use by others. The WHO report is an example of secondary data as it was collected and published by another entity.
  3. Therefore, the survey data is primary, and the WHO report data is secondary.

Answer: The survey data is primary data, and the WHO report data is secondary data.

Practice questions on Statistics

  1. Q1.easy

    When data is presented in the exact form it was collected, without any organization or processing, it is called:
    1. A)Grouped data
    2. B)Raw data
    3. C)Arrayed data
    4. D)Secondary data
    Show answer

    Answer: Raw data

    Hint: Think about data before any arrangement, sorting, or categorization has been applied.

  2. Q2.easy

    In a class of 30 students, if 8 students chose 'Cricket' as their favorite sport, what is the frequency of 'Cricket'?
    1. A)1
    2. B)8
    3. C)30
    4. D)22
    Show answer

    Answer: 8

    Hint: Frequency refers to how many times a particular observation or category occurs in a data set.

  3. Q3.easy

    For the inclusive class interval 10-19, what is the class size?
    1. A)10
    2. B)9
    3. C)11
    4. D)19
    Show answer

    Answer: 10

    Hint: For an inclusive class interval (where both the lower and upper limits are included), the class size is calculated differently than for exclusive intervals.

  4. Q4.medium

    What is the range of the following data: 25, 18, 20, 22, 16, 6, 17, 15, 12, 30, 32, 10, 19, 8, 11, 20?
    1. A)24
    2. B)25
    3. C)26
    4. D)27
    Show answer

    Answer: 26

    Hint: The range is the difference between the highest and the lowest values in a given dataset.

  5. Q5.medium

    In a survey of 20 students, the number of siblings each student has was recorded as follows: 1, 0, 2, 1, 3, 0, 1, 1, 2, 0, 1, 0, 2, 1, 3, 1, 0, 1, 2, 0. What is the frequency of students having 1 sibling?
    1. A)6
    2. B)7
    3. C)8
    4. D)9
    Show answer

    Answer: 9

    Hint: Count how many times the number '1' appears in the given list of data.

  6. Q6.medium

    The class mark of the class interval 10-20 is:
    1. A)10
    2. B)15
    3. C)20
    4. D)30
    Show answer

    Answer: 15

    Hint: The class mark is the midpoint of a class interval, found by averaging its upper and lower limits.

  7. Q7.hard

    The marks obtained by students in a mathematics test are grouped into a frequency distribution with class intervals 0-10, 10-20, 20-30, 30-40, and 40-50. The frequencies for these intervals are 4, 'a', 9, 5, 3 respectively. If the number of students who scored less than 30 marks is 8 more than the number of students who scored 30 or more, what is the value of 'a'?
    1. A)3
    2. B)4
    3. C)5
    4. D)6
    Show answer

    Answer: 3

    Hint: Set up an equation based on the given condition involving the sum of frequencies for specific ranges of marks.

  8. Q8.hard

    A student recorded the weights (in kg) of 50 apples and decided to create a grouped frequency distribution. They chose class intervals as: 100-109, 110-119, 120-129, etc. They then proceeded to draw a histogram. What is the fundamental mistake in the student's approach for drawing a correct histogram?
    1. A)The class intervals are too narrow for 50 observations.
    2. B)The class intervals are not continuous, which is required for a histogram.
    3. C)The upper limit of each class is not included in the interval.
    4. D)The class size is not uniform across all intervals.
    Show answer

    Answer: The class intervals are not continuous, which is required for a histogram.

    Hint: Consider the nature of data represented by histograms and how class intervals must relate to each other.

  9. Q9.hard

    A dataset of 100 observations, ranging from 0 to 100, is used to construct two different grouped frequency distributions:
    Distribution A: Class intervals 0-10, 10-20, 20-30, ... (where lower limit is inclusive, upper limit is exclusive)
    Distribution B: Class intervals 0-20, 20-40, 40-60, ... (where lower limit is inclusive, upper limit is exclusive)
    If an observation has a value of exactly 20, in which class interval(s) would it be included across these two distributions?
    1. A)In 10-20 in Distribution A and 0-20 in Distribution B
    2. B)In 20-30 in Distribution A and 20-40 in Distribution B
    3. C)In 10-20 in Distribution A and 20-40 in Distribution B
    4. D)In 20-30 in Distribution A and 0-20 in Distribution B
    Show answer

    Answer: In 20-30 in Distribution A and 20-40 in Distribution B

    Hint: Carefully apply the 'lower limit inclusive, upper limit exclusive' rule for each distribution.

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