Here are boxplots of the points scored during the first 10 games of the basketball season for both Caroline and Alexandra.The coach can take only one player to the state championship.Which one should she take knowing that she would like a safe player?
A)Alexandra,because she is the more consistent player.
B)Both of them,because both girls have a median score of about 18 points per game.
C)Caroline,because she is the more consistent player.
D)Caroline,because the IQR is the largest.
E)Alexandra,because the IQR is the largest.

Question

Here are boxplots of the points scored during the first 10 games of the basketball season for both Caroline and Alexandra.The coach can take only one player to the state championship.Which one should she take knowing that she would like a safe player? 
A)Alexandra,because she is the more consistent player. 
B)Both of them,because both girls have a median score of about 18 points per game. 
C)Caroline,because she is the more consistent player. 
D)Caroline,because the IQR is the largest. 
E)Alexandra,because the IQR is the largest.

Quizplus · Accepted Answer

Caroline should be chosen as she is the more consistent player. This can be concluded by looking at the interquartile range (IQR) of both players. Caroline's IQR is smaller, indicating that her scores are clustered more closely around the median. This suggests that Caroline is less likely to have an extremely high or low score. Additionally, Caroline's maximum and minimum scores are not as extreme as Alexandra's, which further supports the idea that she is a safer choice.

Here Are Boxplots of the Points Scored During the First