Final answer:
Coach Loren should use a measure of variation to describe how all batting percentages vary. Kerry could tell her to use this measure, which provides information on the discrepancies in the players' performances.
Step-by-step explanation:
Coach Loren asks Kerry to analyze the batting percentages of players on the softball team. When Coach Loren requests one number to describe how all of the values in the data set vary, Kerry should suggest using a measure of variation. The complete sentence that Kerry could provide would be: Coach Loren wants one number to describe how all of the values in the data set vary, so Kerry should tell her to use a measure of C) Variation.
Identifying a measure of variation in statistics is crucial because it quantifies the extent to which data points differ from each other and from the mean of the data set. Common measures of variation include standard deviation, variance, and range. For example, in the context of batting percentages, a lower variation would indicate that most players have batting averages close to each other, while a higher variation would show more disparity in performance among the team members.