Question

2.4.45 The ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. Find the coefficient of variation for each of the two data sets. Then compare the results. (Heights-H, Ages-A)

H A
75   24
73   28
75   21
70   28
78   25
80   25
73   30
75   27
76   28
72   36
71   32
77   31

Answer 1

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Below we have taken out the mean and the standard deviation. From them , we have calculate the coefficient of variation using the formula = Stdev/Mean

Please read below to take out the conclusion from these numbers.

So,

H although has lower absolute standard deviation than that of A, has a higher coefficient of variation than A, indicating that H' deviation is relatively more than that of A

Answer 2

CV height= 4.2 CV ages= 11.2