Question

basketball scoring statistics
player adam ben ethan joseph
mean score 10.9 16.7 14.2 12.9
interquartile range 1.4 1.8 2.2 0.9
given these trends 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?
adam, because his mean score is the lowest
ben, because his mean score is the highest
ethan, because his interquartile range is the highest
joseph, because his interquartile range is the lowest

Explanation:

Step1: Recall the concept of consistency

A lower inter - quartile range indicates more consistency as it shows less spread of the middle 50% of the data.

Step2: Compare inter - quartile ranges

Joaquin has an inter - quartile range of 0.9, Ethan has 2.2, Ben has 1.8 and Adam has 1.4.

Step3: Determine the most consistent player

Since 0.9 is the lowest inter - quartile range among them, Joaquin is the most consistent player.

Answer:

Joaquin, because his interquartile range is the lowest.