7
QuizMultiple Choice

Mean Absolute Deviation — Quiz

Question 7 • Concepts in Probability and Statistics

Students reported practicing violin during the last semester for 45 , 38 , 52 , 58 , and 42 hours. What is the mean absolute deviation for the number of hours students practiced the violin? Round to the nearest tenth.

Answer
A
47
B
6 point 8
C
32
D
6 point 4

Explanation

First find the mean: (45 + 38 + 52 + 58 + 42) ÷ 5 = 47 hours. The absolute differences from 47 are 2, 9, 5, 11, and 5 hours, which have a mean of (2 + 9 + 5 + 11 + 5) ÷ 5 = 6.4 hours. The mean absolute deviation is 6.4, choice D.

AI-written and checked against the verified answer.

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