Question

ethan and three friends kept track of their average points scored in each basketball game over the season. the results are shown below. which player is the most consistent?

basketball scoring statistics

player	mean score	interquartile range
ben	16.7	1.8
ethan	14.2	2.2
joaquin	12.9	0.9

adam, because his mean score is the lowest
ben, because his mean score is the highest
ethan, because his interquartile range is the highest
joaquin, because his interquartile range is the lowest

Explanation:

Step1: Understand consistency measure

Consistency in scoring is measured by inter - quartile range (IQR). Lower IQR means more consistent scores.

Step2: Compare IQRs

Adam's IQR = 1.4, Ben's IQR = 1.8, Ethan's IQR = 2.2, Joaquin's IQR = 0.9.

Step3: Identify most consistent player

Since Joaquin has the lowest IQR (0.9), he is the most consistent player.

Answer:

Joaquin, because his interquartile range is the lowest