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    The mean of a data is 42 and its median is 53. The mode (using empirical relation) of the data is:
    Question

    The mean of a data is 42 and its median is 53. The mode (using empirical relation) of the data is:

    A.

    169

    B.

    75

    C.

    24

    D.

    100

    Correct option is B

    Given:

    Mean = 42

    Median = 53

    Formula Used:

    Mode = 3 × Median − 2 × Mean

    Solution:

    Mode = 3 × 53 − 2 × 42

    = 159 − 84 = 75

    The mode of the data is 75

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