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 116 127 157 97 158 124 115 138 125 122 Diastolic 81 78 76 50 89 90 59 66 71 81 The coefficient of variation for the systolic measurements is %. (Type an integer or decimal rounded to one decimal place as needed.) The coefficient of variation for the diastolic measurements is %. (Type an integer or decimal rounded to one decimal place as needed.) Compare the variation.

Answer 1

solution :

Coefficient of variation = standard deviation/ mean

a)

The coefficient of variation for the systolic measurements is 14.7 %

b)

The coefficient of variation for the distolic measurements is 17.3 %

compare

coefficient of variation of systolic measurement is lesser than distolic coefficient of variation so it is more consistent than distolic measurement.

coefficient of variation of distolic measurement is greter than systolic coefficient of variation so it is more variable than systolic measurement