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.
interquartile
range
median
standard
deviation
mean
For both the Junior Varsity and Varsity teams, the appropriate measures of center would be the median and mean. The median is a good measure of center for both distributions because it represents the middle value and is not affected by extreme outliers. The mean can also be used as a measure of center, but it may be influenced by extreme values.
For both teams, the appropriate measures of spread would be the interquartile range and standard deviation. The interquartile range is a good measure of spread because it captures the spread between the upper and lower quartiles, which represents the middle 50% of the data. The standard deviation is also a good measure of spread because it takes into account the deviation of each data point from the mean, indicating how spread out the data is.