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    The median of the observations 87, 56, 27, 31, 13, 39, 18, 80, 98, 92 and 25 is:
    Question

    The median of the observations 87, 56, 27, 31, 13, 39, 18, 80, 98, 92 and 25 is:

    A.

    25

    B.

    56

    C.

    39

    D.

    31

    Correct option is C

    Given:
    The set of observations is: 87, 56, 27, 31, 13, 39, 18, 80, 98, 92, 25
    Formula Used:
    Median (for odd number of terms) = Value at the position n+12th\frac{n + 1}{ 2}^{th}​, where n is the number of observations arranged in ascending order.
    Solution:
    Arrange the data in ascending order: 13, 18, 25, 27, 31, 39, 56, 80, 87, 92, 98
    Total number of terms (n) = 11 (which is odd)
    Position of the median = 11+12th\frac{11 + 1}{ 2}^{th}​ = 6th position
    6th value in the sorted list = 39

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