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. $\begin{array} { l l l l l l l l l l } \text { Heights (inches): } & 59.3 & 61.2 & 62.6 & 64.7 & 60.1 & 58.3 & 64.6 & 63.7 & 66.1 \
\text { Weights (pounds): } &86 & 97 & 93 & 119 & 96 & 90 & 123 & 98 & 139 \end{array}$
A)Heights: 4.3% Weights: 17.2%
There is substantially more variation in the weights than in the heights of the girls.
B)Heights: 4.1% Weights: 16.4%
There is substantially more variation in the weights than in the heights of the girls.
C)Heights: 3.9% Weights: 15.4%
There is substantially more variation in the weights than in the heights of the girls.
D)Heights: 11.5% Weights: 6.5%
There is substantially more variation in the heights than in the weights of the girls.

Question

Quizplus · Accepted Answer

The coefficient of variation (CV) is calculated as the standard deviation divided by the mean of the dataset, then multiplied by 100 to convert it to a percentage. Calculating the CV for both heights and weights shows that the variation in weights (17.2%) is significantly higher than the variation in heights (4.3%), indicating more variability in weights among the girls.

Find the Coefficient of Variation for Each of the Two