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Statistics

CDS Maths. Try each one first, then open its answer.

Top 10 CDS 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 7 times: CDS 2 2016, CDS 2 2017, CDS 1 2020, CDS 2 2020, CDS 1 2021, CDS 2 2022, CDS 2 2023. This one: CDS 2 2023 See all 7 of this type

    10
    If the median of observations 12, 1, 8, 54, 61, 28, 45, 35, 21, 17 is M, then what is the value of 2M+52M + 5 ?

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  2. Question 2

    This type asked 5 times: CDS 1 2017, CDS 2 2019, CDS 2 2022, CDS 2 2023, CDS 2 2026. This one: CDS 2 2026 See all 5 of this type

    99
    Consider the following incomplete frequency distribution with a total frequency of 100 :
    ClassFrequency
    0 - 1010
    10 - 20x
    20 - 3020
    30 - 40y
    If the mean of the frequency distribution is 25, then what are the missing frequencies ?

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  3. Question 3

    Asked 3 times: CDS 2 2022*, CDS 2 2023*, CDS 1 2026 (* = numbers or wording changed that year) See all 3 times it was asked

    39
    The sum of the deviations of a set of n numbers x1,x2,x3,…,xnx_1, x_2, x_3, \ldots, x_n measured from 15 is −90-90 and the sum of the deviations of the same numbers measured from −3-3 is 54. What is the arithmetic mean ?

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  4. Question 4

    This type asked 3 times: CDS 2 2025, CDS 1 2026, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    97
    If the mean of 15 observations, namely x1,x2,x3,…,x15x_1, x_2, x_3, \ldots, x_{15} is 2.5, then what is the value of ∑i=115[5(4xi+1)]\sum_{i=1}^{15} [5(4x_i + 1)] ?

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  5. Question 5

    This type asked 3 times: CDS 2 2022, CDS 1 2026, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    93
    Consider the observations x, x + 4, 30, 33, 74, 78, 49, 52, 98, 85. If the median of the data is 67, then what is the value of x ?

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  6. Question 6

    This type asked 3 times: CDS 1 2023, CDS 2 2024, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    96
    Consider the following grouped data :
    ClassFrequency
    0 - 104
    10 - 208
    20 - 3015
    30 - 4010
    40 - 503
    What is the mode of the above distribution ?

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  7. Question 7

    This type asked 3 times: CDS 1 2023, CDS 2 2025, CDS 2 2026. This one: CDS 2 2026 See all 3 of this type

    98
    Consider the following discrete grouped data :
    xf
    126
    148
    1010
    169
    183
    What is the arithmetic mean of the above distribution ?

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  8. Question 8

    This type asked 3 times: CDS 2 2018, CDS 2 2019, CDS 2 2025. This one: CDS 2 2025 See all 3 of this type

    96
    Which one of the following is a positional average?

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  9. Question 9

    This type asked 3 times: CDS 2 2016, CDS 2 2018, CDS 1 2024. This one: CDS 1 2024 See all 3 of this type

    15
    Consider the following data : 110, 41, 43, 95, 127, 99, 61, 92, 71, 93, 110, 36. If 93 is replaced by 94, then consider the following statements : 1. The difference between new median and old median is 1. 2. The difference between new mean and old mean is less than 0.1. 3. The difference between new mode and old mode is zero. Which of the statements given above are correct ?

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  10. Question 10

    Asked 2 times: CDS 2 2020*, CDS 2 2026 (* = numbers or wording changed that year) See all 2 times it was asked

    95
    If the heights (in cm) of 9 students of a class are 150, 165, 145, 149, 150, 147, 152, 144 and 148, then what is the algebraic sum of the heights measured from their arithmetic mean ?

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