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 119,128,157,94,157,121,118,136,125,122
Diastolic 79,76,75,54,89,88,60,65,73,83
The coefficient of variation for the systolic measurements is %
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Expert's answer
2020-11-16T08:21:37-0500
Solution
Coefficient of Variation:
CV=xˉS∗100
Systolic:
xˉ=n∑x=101277=127.7
S=n−1∑(x−xˉ)2=93176.1=18.7856
CV=127.718.7856∗100=14.7107
CV of systolic is 14.7107 %
Diastolic:
yˉ=n∑y=10742=74.2
S=n−1(∑y−yˉ)2=91209.6=11.5931
CV=74.211.5931∗100=15.6241
CV of diastolic is 15.6241 %
Comparison
The systolic sample gives a more precise estimate than the diastolic sample since it has a lower coefficient of variation.
The diastolic sample has a greater dispersion around its mean than the systolic sample since it has a higher coefficient of variation
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