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    If the mean of a data is 65 and its mode is 23 then the median using empirical formula is:
    Question

    If the mean of a data is 65 and its mode is 23 then the median using empirical formula is:

    A.

    53

    B.

    54

    C.

    51

    D.

    52

    Correct option is C

    Given:

    Mean = 65
    Mode = 23

    Formula Used:

    Mean – Mode = 3(Mean – Median)

    Solution:
    65 – 23 = 3(65 – Median)
    42 = 195 – 3 × Median
    3 × Median = 195 – 42
    3 × Median = 153
    Median = 1533\frac{153} 3​​
    Median = 51

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