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    The mode and median of a data is 19.5 and 85, respectively. What is the mean of the data? (Use empirical formula.)
    Question

    The mode and median of a data is 19.5 and 85, respectively. What is the mean of the data? (Use empirical formula.)

    A.

    119.1

    B.

    118

    C.

    117.8

    D.

    118.6

    Correct option is C

    Given:

    Mode = 19.5

    Median = 85

    Formula Used:

    Mode = 3 Median – 2 Mean 

    Solution:

    Substituting the given values into the formula:

    2Mean =  3(85)  - 19.5

    2Mean = 255 -  19.5

    2Mean = 235.5 

    Mean = 117.75

    Therefore, the mean of the data is:

    Mean =117.8 

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