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Sums of deviations from two values given: find the mean

The same question, asked 3 times: CDS 2 2022*, CDS 2 2023*, CDS 1 2026. Every wording below, oldest first.

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  1. Question 1

    CDS 2 2022

    63
    The sum of deviations of a set of nn values measured from 50 is −10-10 and the sum of deviations of the values measured from 46 is 70. What is the mean of the values ?

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  2. Question 2

    CDS 2 2023

    9
    The sum of deviations of n numbers from 10 and 20 are a, b respectively. If ba=−4\dfrac{b}{a} = -4, then what is the mean of these n numbers ?

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  3. Question 3

    CDS 1 2026

    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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