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    A raw data is in ascending order i.e. 3, 4, 8, x, x + 1, 12, 14, 15. If the median of this data is 9.5, then the value of x is:
    Question

    A raw data is in ascending order i.e. 3, 4, 8, x, x + 1, 12, 14, 15. If the median of this data is 9.5, then the value of x is:

    A.

    7

    B.

    9

    C.

    4

    D.

    11

    Correct option is B

    ​Given:
    Data: 3, 4, 8, x, x + 1, 12, 14, 15

    Formula Used:
    For an even number of data points, the median is the average of the middle two values.

    Solution:

    There are 8 values in the data set, so the median will be the average of the 4th and 5th terms.
    The 4th and 5th terms are x and x + 1.
    (x + (x + 1)) / 2 = 9.5
    (2x + 1) / 2 = 9.5
    2x + 1 = 19
    2x = 18
    x = 9​

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