Question

a cross - country coach records the number of miles his athletes on the junior varsity and varsity teams ran today and displays the data in the provided dot plots. given the shape of each distribution, determine which measures of center and spread are appropriate for him to use to summarize the data from each team. mean median standard deviation interquartile range junior varsity team measure of center measure of spread number of miles varsity team measure of center measure of spread number of miles

Explanation:

The mean is sensitive to outliers and is best for symmetric distributions. The median is a better measure of center for skewed distributions. The standard - deviation is used for symmetric distributions to measure spread, while the inter - quartile range is more robust to outliers and better for skewed distributions. Looking at the dot - plots, if the Junior Varsity Team's distribution is symmetric, mean is a good measure of center and standard deviation is a good measure of spread. If the Varsity Team's distribution is skewed, median is a good measure of center and inter - quartile range is a good measure of spread.

Answer:

Junior Varsity Team - Measure of Center: mean, Measure of Spread: standard deviation
Varsity Team - Measure of Center: median, Measure of Spread: interquartile range