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12 March, 03:17

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

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  1. 12 March, 03:25
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    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.

    Step-by-step 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.
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