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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Izzy

Mathematics

2 April, 14:44

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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Lexus · Answer 1

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%