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    The mean and the mode of a set of data are 58.7 and 61.1 , respectively. Find the median of the data, using the empirical formula.
    Question

    The mean and the mode of a set of data are 58.7 and 61.1 , respectively. Find the median of the data, using the empirical formula.

    A.

    54.6

    B.

    55.2

    C.

    55.8

    D.

    59.5

    Correct option is D

    Given:

    Mean = 58.7

    Mode = 61.1

    Formula Used:

    3Median = 2Mean + Mode

    Solution:

    3Median = 2Mean + Mode

    3Median = 2(58.7) +(61.1)

    3 Median = 117.4+61.1

    Median = 178.53\frac{178.5}{3}​​

    Median = 59.5

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