Question

The manager of a basketball team keeps statistics on his team's performance. These box plotsshow the playing time for team members during the first two games of the season.

Answer 1

Explanation:

Given the graph of the basketball team.

The box plot represents the following statistic values:

Since the minimum of both games is 3 minutes, it means in each game all of the team members play for at least 3 minutes. TRUE.

Since in both games there is not the same median, then it is FALSE that half of the team members play 15 minutes or more.

The range is the difference between the maximum and the minimum of each game, then:

`\begin{gathered} Range\text{ 1=21-3} \\ Range\text{ 1=18} \\ \\ Range\text{ 2=24-3} \\ Range\text{ 2=21} \end{gathered}`

Therefore, it is FALSE that the range of playing time is greater in game 1 than in game 2.

Since the third quartile of each game is 18 then it is TRUE that three-fourths of the team members play 18 minutes or less.