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    ​For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is:
    Question

    ​For a data, if the mean is 28.5 and the median is 32, then the mode using empirical formula is:

    A.

    40

    B.

    42

    C.

    39

    D.

    41

    Correct option is C

    Given:
    Mean = 28.5, Median = 32.

    Formula Used:

    Mode=3Median2Mean\text{Mode} = 3 \cdot \text{Median} - 2 \cdot \text{Mean}​​

    Solution:

    Mode=3×322×28.5=9657=39\text{Mode} = 3 \times 32 - 2 \times 28.5 = 96 - 57 = 39 ​​

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