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    The following 13 observations are molecular weights of 13 compounds (in amu): 65, 61, 63, 65, 61, 60, 65, 83, 65, 84, 61, 65, 62 Which of
    Question

    The following 13 observations are molecular weights of 13 compounds (in amu):
    65, 61, 63, 65, 61, 60, 65, 83, 65, 84, 61, 65, 62
    Which of the following is true of the molecular weights?

    A.

    Mean = Median < Mode

    B.

    Median < Mode = Mean

    C.

    Mode = Median < Mean

    D.

    Median = Mean < Mode

    Correct option is C


    Concept:
    Mean = sum of observation/Total number of observation
    Median = median is the middle value that separates the higher half from the lower half of the set of observations.
    Mode = Mode is most frequently occurring observation.
    Solution:
    The following 13 observations are molecular weights of 13 compounds (in amu):
    65, 61, 63, 65, 61, 60, 65, 83, 65, 84, 61, 65, 62
    Clearly, 65 is the most occurring observation.
    ⇒ Mode = 65    ........ (1)
    Now, arrange all observations in ascending order
    60, 61, 61, 61, 62, 63, 65, 65, 65, 65, 65, 83, 84
    ⇒ Median = 65      ......... (2)
    By (1) & (2) 
    Mode = Median
    Hence, Option (c) is true.
    Final Answer:
    (c) Mode = Median < Mean.

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