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Statistics

SSC CGL Tier II Quant. Try each one first, then open its answer.

Top 10 SSC CGL Tier II PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    This type asked 4 times: 6 Mar 2023 Tier II, 7 Mar 2023 Tier II, 26 Oct 2023 Tier II, 18 Jan 2026 Tier II. This one: 18 Jan 2026 Tier II See all 4 of this type

    23
    The marks obtained by 9 students in a test are: 5, 8, 7, 9, 6, 7, 8,7, 10. Determine: (i) Mode of the marks, (ii) Number of students scoring above average.

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  2. Question 2

    Asked 3 times: 18 Jan 2025 Tier II*, 20 Jan 2025 Tier II*, 18 Jan 2026 Tier II (* = numbers or wording changed that year) See all 3 times it was asked

    22
    If the marks scored by the students in a class test out of 50 then, Find the Median of the following data:
    MarksFrequency
    0-105
    10-208
    20-306
    30-406
    40-505

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  3. Question 3

    Asked 2 times: 3 Mar 2023 Tier II*, 20 Jan 2025 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    21
    The age of some students is given in years as 12, 13, 16, 18,14, 19, 13, 17, 15 and 11. The median age (in years) of the students is:

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  4. Question 4

    Asked 2 times: 6 Mar 2023 Tier II*, 7 Mar 2023 Tier II (* = numbers or wording changed that year) See all 2 times it was asked

    19
    What is the mode of the given data? 5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7

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  5. Question 5

    This type asked 2 times: 6 Mar 2023 Tier II, 18 Jan 2025 Tier II. This one: 18 Jan 2025 Tier II See all 2 of this type

    12
    Using empirical formula, calculate the mode for the following data. 17, 20, 21, 18, 25, 28, 24, 22, 16, 24, 25, 24

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  6. Question 6

    This type asked 2 times: 2 Mar 2023 Tier II, 26 Oct 2023 Tier II. This one: 26 Oct 2023 Tier II See all 2 of this type

    4
    A set of data presented in the form of a frequency distribution table with class intervals and their respective frequencies had a mode of 48.5. The lower boundary of the modal class was 46.5; the frequency of the modal class was 34; the frequency of the class interval just preceding the modal class was 32 and the frequency of the class interval just succeeding the modal class was 25. What was the width of the modal class?

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  7. Question 7

    Asked once: 26 Oct 2023 Tier II (same type asked 4 times) See all 4 of this type

    6
    The marks obtained by 15 students out of a maximum of 25 in a test are given as 13, 11, 16, 15, 18, 12, 13, 14, 10, 22, 15, 21, 20, 17 and 24. Find the product of the modes of this set of data.

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  8. Question 8

    Asked once: 6 Mar 2023 Tier II (same type asked 2 times) See all 2 of this type

    16
    For a sample data, mean = 60 and median = 48. For this distribution, the mode is:

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  9. Question 9

    Asked once: 2 Mar 2023 Tier II (same type asked 2 times) See all 2 of this type

    7
    Find the mode for the given distribution (rounded off to two decimal places).
    Class Interval5 −- 1010 −- 1515 −- 2020 −- 2525 −- 3030 −- 35
    Frequency87691110

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  10. Question 10

    Asked once: 18 Jan 2026 Tier II

    6
    A set of n values x1,x2,…,xnx_1, x_2, \ldots, x_n has a standard deviation of 5. The standard deviation of n values x1−7,x2−7,…,xn−7x_1 - 7, x_2 - 7, \ldots, x_n - 7 will be:

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