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    What is the mean, median, and mode of the following data? Class Interval Frequency 30–40 18 40–50 37 50–60 45 60–70 2
    Question

    What is the mean, median, and mode of the following data?

    Class Interval
    Frequency
    30–40
    18
    40–50
    37
    50–60
    45
    60–70
    27
    70–80
    15
    80–90
    8

    (X̄) (Mean) (M) (Median) (Z) (Mode)

    A.

    55.53, 53.08, 54.44

    B.

    54.44, 53.08, 55.53

    C.

    53.08, 54.44, 55.53

    D.

    55.53, 54.44, 53.08

    Correct option is D

    Mean = Σfx/Σf = 8330/150 = 55.53
    Median class = 50–60 => M = 50 + (75–55)/45 ×10 = 54.44
    Mode class = 50–60 => Z = 50 + (45–37)/(90–37–27)×10 = 53.08

    Hence, Mean = 55.53, Median = 54.44, Mode = 53.08
    (Follows relation Mean > Median > Mode → Positively skewed.)

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