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.

A) Mean and Range for both teams
B) Median and Interquartile Range for both teams
C) Mode and Standard Deviation for both teams
D) Median and Range for both teams

Answer 1

Based on the shape of the data, it is appropriate to use the Median and Interquartile Range (IQR) to summarize the data for both teams.

Step-by-step explanation:

Based on the shape of the data, it is appropriate to use the Median and Interquartile Range (IQR) to summarize the data for both teams. The median is a measure of center that is not affected by extreme values or outliers, which seems to be present in the data. The IQR is a measure of spread that focuses on the middle 50% of the data, which can provide a more accurate representation of the variability in the data.