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    Given below are leaf lengths (in cm) measured from a sample of 15 Dipterocarp trees5, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13what are the mean,
    Question

    Given below are leaf lengths (in cm) measured from a sample of 15 Dipterocarp trees

    5, 6, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 13

    what are the mean, median, and mode of the leaf lengths?

    A.

    Mean -7.93, Median-7, Mode-10

    B.

    Mean -8.93, Median-9, Mode-8

    C.

    Mean -7.93, Median-9, Mode-8

    D.

    Mean -8.93, Median-9, Mode-9

    Correct option is B

    The correct option is (b)
    1. Mean:
    Add all the values and divide by the number of observations.
    Sum = 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9 + 9 + 10 + 10 + 11 + 11 + 12 + 13 = 134
    Number of observations = 15
    Mean = 134 / 15 = 8.93
    2. Median:
    Since the data is already arranged in ascending order, the median is the middle value. For 15 values, median is the 8th value.
    The 8th value = 9
    Median = 9
    3. Mode:
    Mode is the value that appears most frequently.
    Here, 8 appears 3 times, more than any other number.
    Mode = 8
    Hence, the correct set is in option (b)  Mean = 8.93, Median = 9, and Mode = 8.

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