15
QuizMultiple Choice

Scatterplots

Question 15 • *Integrated Math II Full

Enzo and Zahra are playing a game. Their scores for five games are shown in the table below.Enzo’s and Zahra’s ScoresEnzo’s Scores3947465038Zahra’s Scores3733453045Enzo’s mean score is 44. Zahra’s mean score is 38. How much greater is the mean absolute deviation for Zahra's scores than for Enzo's scores?

Answer
A
1.2
B
4.4
C
5.6
D
6.0

Explanation

For Enzo, the absolute deviations from the mean of 44 are 5, 3, 2, 6, and 6, so his mean absolute deviation is 22 ÷ 5 = 4.4. For Zahra, the absolute deviations from the mean of 38 are 1, 5, 7, 8, and 7, so her mean absolute deviation is 28 ÷ 5 = 5.6. The difference is 5.6 − 4.4 = 1.2, so the answer is A, 1.2.

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