A) $721,124.0 B) 565.1 Find the coefficient of variation for each of the two set

Question

A) $721,124.0 B) 565.1 Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. 16) Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a 16) sample of men aged 60-69. Men aged 20-29: 117 122 129 118 131 123 Men aged 60-69: 130 153 141 A) Men aged 20-29:4.8% 125 164 139 Men aged 60-69: 10.6% There is substantially more variation in blood pressures of the men aged 60-69. B) Men aged 20-29: 4.4% Men aged 60-69: 8.3% There is substantially more variation in blood pressures of the men aged 60-69. C) Men aged 20-29: 4.6% Men aged 60-69: 10.2 % There is substantially more variation in blood pressures of the men aged 60-69. D) Men aged 20-29: 7.6% Men aged 60-69: 4.7% There is more variation in blood pressures of the men aged 20-29.

Explanation / Answer

The coefficient of Variation for a sample data is-

CV = (s/x)*100, where s is the sample standard deviation and x is the sample mean

Sample mean, x for each sample is calculated as follows-

For Men aged 20-29, x = (117+122+....+123)/6 = 123.33

For Men aged 60-69, x = (130+153+....+139)/6 = 142

For Men aged 20-29,

Sample Variance = {(117-123.33)^2 + (122-123.33)^2 + ....... + (123-123.33)^2}/(6-1) = 32.27

For Men aged 60-69,

Sample Variance = {(130-142)^2 + (153-142)^2 + ....... + (139-142)^2}/(6-1) = 209.6

So, sample deviations are square roots of sample variance and they are equal to 5.68 and 14.48 respectively

Here is a summary to calculate CV-

So, as per the calculation, the answer is (C)

Let me know if you need anything else, if not please don't forget to like the answer :)

Men aged 20-29 Men aged 60-69 117 130 122 153 129 141 118 125 131 164 123 139

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