Find the Coefficient of Variation for Each of the Two $\begin{array} { l l l l l l } \text { Men aged 20-29: } 117 & 122 & 129 & 118 & 131 & 123 \end{array}$

question 46

Multiple Choice

Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal
place.
-Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a sample of men aged 60-69. $\begin{array} { l l l l l l } \text { Men aged 20-29: } 117 & 122 & 129 & 118 & 131 & 123 \end{array}$
$\begin{array} { l l l l l l } \text { Men aged 60-69: 130 } & 153 & 141 & 125 & 164 & 139 \end{array}$

• A) 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.
• B) Men aged 20-29: \(4.8 \%\)
• Men aged 60-69: 10.6\%
• There is substantially more variation in blood pressures of the men aged 60-69.
• C) Men aged 20-29: \(4.4 \%\)
• Men aged 60-69: 8.3\%
• There is substantially more variation in blood pressures of the men aged \(60 - 69\).
• D) 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.

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Definitions:

Mean Difference

The average of differences between pairs of observations in a dataset.

Standard Deviation

A statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Paired T-test

A statistical test used to compare the means of two related groups to determine if there is a significant difference between them.

Significance Level

The probability of rejecting the null hypothesis in a statistical test when it is actually true; a measure of the risk of a Type I error.