PYQ Vault

Missing frequencies from a given mean (and total)

This type of question, asked 5 times: CDS 1 2017, CDS 2 2019, CDS 2 2022, CDS 2 2023, CDS 2 2026. All 5 questions below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 1 2017

    53
    Consider the following distribution :
    ClassFrequency
    0 - 2017
    20 - 4028
    40 - 6032
    60 - 80f
    80 - 10019
    If the mean of the above distribution is 50, what is the value of f ?

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  2. Question 2

    CDS 2 2019

    61
    Consider the following grouped frequency distribution :
    xf
    0 - 108
    10 - 2012
    20 - 3010
    30 - 40p
    40 - 509
    If the mean of the above data is 25.2, then what is the value of p ?

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  3. Question 3 (case study, 3 parts)

    CDS 2 2022

    Consider the following for the next three (03) items that follow : A frequency distribution table is given below :
    x012345
    f46pq25105
    Total frequency is 200 and mean of the distribution is 1.46.
    48
    What is the value of p ?

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    49
    What is the value of q ?

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    50
    What is the median of the distribution ?

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  4. Question 4 (case study, 2 parts)

    CDS 2 2023

    A grouped frequency distribution is given below :
    Weekly wages in Rupees (Rs.)Numbers of workers
    2050 - 25505
    2550 - 305010
    3050 - 3550k
    3550 - 40508
    4050 - 45502
    4550 - 505010
    47
    If average weekly wages earned by a worker is Rs. 3,520, then what is the value of k ?

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    48
    What is the median (approximate value) of the distribution ?

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  5. Question 5

    CDS 2 2026

    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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