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Unknown observations from a given median and mean deviation about the median

This type of question, asked 4 times: 25 Jul 2022, 1 Feb 2024, 9 Apr 2024, 4 Apr 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    25 Jul 2022

    168
    If the mean deviation about median for the number 3,5,7,2k,12,16,21,243,5,7,2k,12,16,21,24 arranged in the ascending order, is 6 then the median is

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  2. Question 2

    1 Feb 2024

    67
    Let the median and the mean deviation about the median of 7 observation 170,125,230,190,210170,125,230,190,210, a, b be 170 and 2057\frac{205}{7} respectively. Then the mean deviation about the mean of these 7 observations is:

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  3. Question 3

    9 Apr 2024

    76
    The frequency distribution of the age of students in a class of 40 students is given below.
    Age151617181920
    No. of Students58512xxyy
    If the mean deviation about the median is 1.25, then 4x+5y4x+ 5y is equal to:

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  4. Question 4

    4 Apr 2026 S1

    60
    Suppose that the mean and median of the nonnegative numbers 21, 8, 17, a, 51,103,b,13,6751,103,b,13,67, (a>b)(a > b), are 40 and 21, respectively. If the mean deviation about the median is 26 , then 2a2a is equal to :

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