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

Answer 1

Answer

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