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:

Chi-Square Distribution

A statistical distribution used to assess the goodness-of-fit between observed and expected frequencies.

Degrees of Freedom

The number of independent pieces of information available to estimate another parameter.

Expected Frequencies

The anticipated count of occurrences across different categories based on probability distributions in statistics.

Chi-Square Value

A statistical measure used in tests of independence and goodness of fit, indicating how expectations compare to actual observed data.