QUESTION IMAGE
Question
at the start of the track season, coach jennings recorded how long it took each athlete one mile. when the season ended, he recorded their times again to see how the athletes improved. these box plots show the results. one - mile run times (minutes) based on the data in the box plots, complete the following sentences about the athletes one - mile run times. there is variation in the athletes times at the start of the season than at the end of season. this can be seen in the box plots because the is at the start of the season by.
Step1: Understand box - plot spread
The spread of a box - plot can be measured by the inter - quartile range (IQR) or the range. The range is the difference between the maximum and minimum values, and the IQR is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$). A larger spread indicates more variation.
Step2: Compare box - plot spreads
Looking at the box - plots, the length of the box (IQR) and the whiskers (range) for the "Start" box - plot is larger than that for the "End" box - plot. This means there is more variation in the athletes' times at the start of the season.
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There is more variation in the athletes' times at the start of the season than at the end of season. This can be seen in the box plots because the range (or inter - quartile range) is larger at the start of the season by comparing the lengths of the boxes and whiskers.