10
QuizMultiple Choice

Mean Absolute Deviation — Quiz

Question 10 • 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: 5 , 10 , 7 , 2 Set 2: 5 , 10 , 7 , 42

Answer
A
The MAD of set 1 is 10 point 5 more than the MAD of set 2.
B
The MAD of set 1 is 2 point 5 less than the MAD of set 2.
C
The MAD of set 1 is 10 point 5 less than the MAD of set 2.
D
The MAD of set 1 is 2 point 5 more than the MAD of set 2.

Explanation

Set 1 has a mean of 6, and its absolute deviations are 1, 4, 1, and 4, so its MAD is 2.5. Set 2 has a mean of 16, and its absolute deviations are 11, 6, 9, and 26, so its MAD is 13. Since 13 − 2.5 = 10.5, the MAD of set 1 is 10.5 less than the MAD of set 2.

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