14
QuizMultiple Choice

Data Displays and Statistics

Question 14 • *Integrated Math II Full

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 StatisticsPlayerMean ScoreInterquartile RangeAdam10.91.4Ben16.71.8Ethan14.22.2Joaquin12.90.9

Answer
A
Adam, because his mean score is the lowest
B
Ben, because his mean score is the highest
C
Ethan, because his interquartile range is the highest
D
Joaquin, because his interquartile range is the lowest

Explanation

Consistency means the scores vary less from game to game. The interquartile range measures the spread of the middle half of the scores, so the smallest interquartile range indicates the most consistent player. Joaquin’s interquartile range is 0.9, the lowest shown, so Joaquin is the most consistent.

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