Question

Listed below are pulse rates​ (beats per​ minute) from samples of adult males and females. Does there appear to be a​ difference? Find the coefficient of variation for each of the two​ samples; then compare the variation.

 Male Female 89 70 63 70 71 50 62 53 83 69 62 64 98 56 66 67 82 79 72 72 82 86 85 89 87 93 70 90 80 80

Enter the data set into excel, then use excel function AVERAGE and STDEV.S to find the mean and sample standard deviation

For Male

x(bar) = AVERAGE(male data)

= 68.4

and

s = STDEV.S(male data)

= 13.07

Coefficient of variation = [s/x(bar)]*100

= (13.07/68.4)*100

= 19.11%

For Female

x(bar) = AVERAGE(female data)

= 80.93

and

s = STDEV.S(female data)

= 7.81

Coefficient of variation = [s/x(bar)]*100

= (7.81/80.93)*100

= 9.64%

So, based on calculations, it is clear that the coefficient of variation is higher for male as compared to female. So, we can say that there is a difference between male and female data

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