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Find the Coefficient of Variation for Each of the Two  Heights (inches): 58.761.462.164.760.158.364.663.766.1\begin{array} { l l l l l l l l l l } \text { Heights (inches): } & 58.7 & 61.4 & 62.1 & 64.7 & 60.1 & 58.3 & 64.6 & 63.7 & 66.1 \end{array}

Question 87

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.  Heights (inches) : 58.761.462.164.760.158.364.663.766.1\begin{array} { l l l l l l l l l l } \text { Heights (inches) : } & 58.7 & 61.4 & 62.1 & 64.7 & 60.1 & 58.3 & 64.6 & 63.7 & 66.1 \end{array}


A) Heights: 4.1%4.1 \%
Weights: 15.2%15.2 \%
There is substantially more variation in the weights than in the heights of the girls.
B) Heights: 11.8%11.8 \%
Weights: 6.3%6.3 \%
There is substantially more variation in the heights than in the weights of the girls.
C) Heights: 4.3\%
Weights: 16.0%16.0 \%
There is substantially more variation in the weights than in the heights of the girls.
D) Heights: 4.5%4.5 \%
Weights: 16.8%16.8 \%
There is substantially more variation in the weights than in the heights of the girls.

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