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    The median of 9, 11, 15, 17. x. 19, 21 is x. where x is an integer. Which of the following can be the value of x?
    Question

    The median of 9, 11, 15, 17. x. 19, 21 is x. where x is an integer. Which of the following can be the value of x?

    A.

    14

    B.

    18

    C.

    16

    D.

    13

    Correct option is C

    ​Given:

    Median of 7 number is x

    Formula used:

    Median of odd number = (n+1)2\frac{(n + 1)} 2 ​       

    Solution:

    Numbers are;

    => 9, 11 , 15, 17, x, 19, 21

    Total number are = 7

    => Median = (7+1)2\frac{(7 + 1)} 2​ = 82\frac8 2​ = 4th term

    So median will be 4th term;

    On rearranging the terms, we get;

    => Series = 9, 11, 15, x, 17, 19, 21

    As we arrange it in ascending order

    => 15 < x < 17

    So, only possible value of x is 16

    => Hence, the answer is (c).

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