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 data set.

\\(cv_{\text{heights}} = 4.9\\%\\) (round to one decimal place as needed.)

\\(cv_{\text{ages}} = 13.7\\%\\) (round to one decimal place as needed.)

compare the results. what can you conclude?

a. heights are more variable than ages for all pitchers on this team.
b. ages are more variable than heights for all pitchers on this team.
c. ages and heights for all pitchers on this team have about the same amount of variability.

Explanation:

Compare the coefficients of variation

$$
LATEXBLOCK0
$$

Determine relative variability

$$ 13.7\% > 4.9\% \implies \text{Ages have greater relative variability than heights.} $$

Answer:

• A. Heights are more variable than ages for all pitchers on this team.
• B. Ages are more variable than heights for all pitchers on this team. (Correct answer)
• C. Ages and heights for all pitchers on this team have about the same amount of variability.