Question

the ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. find the coefficient of variation for each of the two data sets. then compare the results. click the icon to view the data sets. cv_heights = 4 % (round to one decimal place as needed.) cv_ages = 12.2 % (round to one decimal place as needed.) compare the results. what can you conclude? a. ages and heights for all pitchers on this team have about the same amount of variability. b. ages are more variable than heights for all pitchers on this team. c. heights are more variable than ages for all pitchers on this team.

Explanation:

The coefficient of variation (CV) measures the relative variability of a data set. A higher CV indicates greater relative variability. Here, \(CV_{heights} = 4\%\) and \(CV_{ages}=12.2\%\). Since \(12.2\%>4\%\), ages have a higher coefficient of variation than heights.

Answer:

B. Ages are more variable than heights for all pitchers on this team.