Question

the coefficient of variation cv describes the standard deviation as can use the coefficient of variation to compare data with different data set. what can you conclude?
cv = \frac{\text{standard deviation}}{\text{mean}} \bullet 100\\%
click the icon to view the data sets.

cv_{\text{heights}} = 7.3\\% (round to the nearest tenth as needed.)

cv_{\text{weights}} = 7.2\\% (round to the nearest tenth as needed.)

Explanation:

Step1: Compare CV values

We have \( CV_{\text{heights}} = 7.3\% \) and \( CV_{\text{weights}} = 7.2\% \).

Step2: Analyze the comparison

Since \( 7.3\%>7.2\% \), the coefficient of variation for heights is slightly higher than that for weights. This means that the heights data has a relatively greater spread relative to its mean compared to the weights data.

Answer:

The coefficient of variation for heights (\( 7.3\% \)) is slightly higher than that for weights (\( 7.2\% \)), indicating heights have a relatively greater spread relative to their mean compared to weights.