The problem asks us to analyze two box plots representing the heights of players on the University of Maryland's women's basketball and field hockey teams. We need to determine which statements about the data can be gathered from the box plots. The possible statements are: A) The basketball players are taller on average. B) The heights of the basketball players vary noticeably more than those of the field hockey team. C) None of the above.

1. Problem Description

The problem asks us to analyze two box plots representing the heights of players on the University of Maryland's women's basketball and field hockey teams. We need to determine which statements about the data can be gathered from the box plots. The possible statements are:

A) The basketball players are taller on average.

B) The heights of the basketball players vary noticeably more than those of the field hockey team.

C) None of the above.

2. Solution Steps

First, let's analyze the box plots. The box plot shows the median, quartiles, and range of the data.

The approximate median height of the basketball team is around 190 cm.

The approximate median height of the field hockey team is around 165 cm.

Based on the medians, the basketball players appear to be taller on average.

Now let's compare the range.

The range for the basketball team is from about 150 cm to 205 cm, giving a range of about 55 cm.

The range for the field hockey team is from about 145 cm to 180 cm, giving a range of about 35 cm.

The interquartile range (IQR) is the length of the box.

For basketball team, the IQR appears to be from roughly 178 to 200, making it approximately

2

2. For field hockey team, the IQR appears to be from roughly 158 to 168, making it approximately

1

0. The basketball players have a larger IQR and range, suggesting that the heights of the basketball players vary more noticeably than those of the field hockey team.

Therefore, both statements A and B are true.

3. Final Answer

A, B