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    The following 15 observations are heights (in inches) of 15 persons 65, 61, 63, 65, 61, 61, 60, 60, 65, 85, 65, 86, 61, 65, 62 Which of the foll
    Question

    The following 15 observations are heights (in inches) of 15 persons
    65, 61, 63, 65, 61, 61, 60, 60, 65, 85, 65, 86, 61, 65, 62
    Which of the following is true?

    A.

    Mean < Median < Mode

    B.

    Median < Mode < Mean

    C.

    Mode < Median < Mean

    D.

    Median < Mean < Mode

    Correct option is B

    Given :
    Mean = Total sum of values ÷ Number of values

    Median = Middle value when data is sorted

    Mode = Most frequently occurring value

    Step-by-Step Solution:

    Step 1: Arrange the data in ascending order

    60, 60, 61, 61, 61, 61, 62, 63, 65, 65, 65, 65, 65, 85, 86

    Step 2: Calculate the Mean

    Add all values:
    60 + 60 + 61 + 61 + 61 + 61 + 62 + 63 + 65 + 65 + 65 + 65 + 65 + 85 + 86 = 985

    Mean = 985 ÷ 15 = 65.66

    Step 3: Find the Median

    Since there are 15 values (odd), the median is the 8th value in the sorted list.
    8th value = 63 → Median = 63

    Step 4: Find the Mode

    Most frequently occurring value = 65 (appears 5 times)
    So, Mode = 65

    Comparison of Results:
    Mean = 65.66

    Median = 63

    Mode = 65

    So the correct order is:
    Median < Mode < Mean

    Final Answer: (b) Median < Mode < Mean

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