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11 May, 03:45

Test scores: Scores on a statistics exam had a mean of 75 with a standard deviation of 5. Scores on a calculus exam had a mean of 58 with a standard deviation of 11. Calculate the coefficient of variation (CV) for each subject to determine which has a greater spread relative to their mean, statistics scores or calculus scores?

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  1. 11 May, 07:17
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    CV for statistics exam = 15%

    CV for calculus exam = 19%

    Since the CV for calculus exam is higher, it has a greater spread relative to the mean than the statistics exam.

    Step-by-step explanation:

    To find coefficient variation we use the formula:

    CV = (SD/mean) * 100

    CV for the statistics exam:

    where; SD = 5

    mean = 75

    CV = (5/75) * 100

    = 0.15 or 15%

    CV for calculus exam

    SD = 11

    Mean = 58

    CV = (11 / 58) * 100

    = 0.19 or 19%
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