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

0 0
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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

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