Find the Coefficient of Variation for Each of the Two

question 167

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.
-Compare the variation in heights to the variation in weights of thirteen-year old girls. The heights (in inches) and weights (in pounds) of nine randomly selected thirteen-year old girls are listed below.

$\begin{array}{llllllllll}\text { Heights (inches) : } & 59.4 & 61.2 & 62.1 & 64.7 & 60.1 & 58.3 & 64.6 & 63.7 & 66.1 \\\text { Weights (pounds) : } &87 & 94 & 93 & 119 & 96 & 90 & 123 & 98 & 139\end{array}$

• A) Heights: 4.6%
• Weights: 18.3%
• There is substantially more variation in the weights than in the heights of the girls.
• B) Heights: 11.4%
• Weights: 6.5%
• There is substantially more variation in the heights than in the weights of the girls.
• C) Heights: 4.1%
• Weights: 16.5%
• There is substantially more variation in the weights than in the heights of the girls.
• D) Heights: 4.3%
• Weights: 17.3%
• There is substantially more variation in the weights than in the heights of the girls.

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