7
QuizMultiple Choice

Comparing Populations

Question 7 • *Integrated Math II Full

Two baseball coaches recorded the number of hits each player had during practice. They displayed the results in the box plots below.Number of Hits by Team 1 PlayersNumber of Hits by Team 2 PlayersThe coaches determined the mean and MAD from the raw data and used that information to compare the two plots. They determined there is more variability in the number of hits per player on Team 2 than on Team 1. Which best describes this conclusion?

Question illustration
Answer
A
Inaccurate. The data sets are not symmetrical and the ranges of the two teams’ data are the same.
B
Accurate. The data sets are not symmetrical. There is more variability on Team 2 than on Team 1 because the median of Team 2 is greater than the median of Team 1.
C
Inaccurate. The data sets are not symmetrical. There is less variability on Team 2 than on Team 1 because the IQR of Team 2 is less than the IQR of Team 1.
D
Accurate. The data sets are not symmetrical. The MAD for Team 2 was calculated to be a larger number than the MAD for Team 1.
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