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QuizMultiple Choice

Mean Absolute Deviation — Quiz

Question 1 • Concepts in Probability and Statistics

How does the mean absolute deviation (MAD) of the data in set 1 compare to the mean absolute deviation of the data in set 2? Set 1: 12, 8, 10, 50 Set 2: 13, 9, 8

Answer
A
The MAD of set 1 is 2 more than the MAD of set 2.
B
The MAD of set 1 is 13 less than the MAD of set 2.
C
The MAD of set 1 is 2 less than the MAD of set 2.
D
The MAD of set 1 is 13 more than the MAD of set 2.

Explanation

Set 1 has a mean of 20, and its absolute deviations are 8, 12, 10, and 30, giving a MAD of 15. Set 2 has a mean of 10, and its absolute deviations are 3, 1, and 2, giving a MAD of 2. Since 15 − 2 = 13, the MAD of set 1 is 13 more than the MAD of set 2.

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