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    The median and mode of a frequency distribution are 26 and 29 respectively. Then the mean is:
    Question

    The median and mode of a frequency distribution are 26 and 29 respectively. Then the mean is:

    A.

    27.5

    B.

    24.5

    C.

    28.4

    D.

    25.8

    Correct option is B

    Given:
    Median = 26
    Mode = 29
    Formula used:
    Mode = 3 × Median – 2 × Mean
    Solution:
    29 = 3 × 26 – 2 × Mean
    29 = 78 – 2 × Mean
    2 × Mean = 78 – 29 = 49
    Mean = 49 ÷ 2 = 24.5
    Correct answer is (b)

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