Question

A sample of blood pressure measurements is taken for a group of​ adults, and those values​ (mm Hg) are listed below. The values are matched so that 10 subjects each have a systolic and diastolic measurement. Find the coefficient of variation for each of the two​ samples; then compare the variation. Systolic 118 126 160 98 156 124 116 134 126 120 Diastolic 78 78 72 50 91 87 57 64 74 84

Answer 1

Systolic variation coefficient (CVS) = 0.1446 = 14.46%

Diastolic variation coefficient (CVD) = 0.1789 = 17.89%

The variation, with respect to the mean, of the systolic pressure sample is slightly less than the variation of the Diastolic pressures.

Explanation:

Systolic Mean (MS) = 127.8

Diastolic Mean (MD) = 73.5

Standard Deviation Systolic (sdS) = 18,486

Standard Deviation Diastolic (sdD) = 13.1508

The coefficient of variation is defined by:

Systolic variation coefficient (CVS) = sdS / MS = 18.486 / 127.8 = 0.1446 = 14.46%

Diastolic variation coefficient (CVD) = sdD / MD = 13.1508 / 73.5 = 0.1789 = 17.89%

Then, it can be concluded that the variation, with respect to the mean, of the systolic pressure sample is slightly less than the variation of the Diastolic pressures.