13
QuizMultiple Choice

Mean Absolute Deviation

Question 13 • High School Math 2 A

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: 82, 80, 90Set 2: 82, 80, 60, 90

Answer
A
The MAD of set 1 is 6 less than the MAD of set 2.
B
The MAD of set 1 is 5 less than the MAD of set 2.
C
The MAD of set 1 is 5 more than the MAD of set 2.
D
The MAD of set 1 is 6 more than the MAD of set 2.

Explanation

Set 1 has a mean of (82 + 80 + 90) ÷ 3 = 84, so its absolute deviations are 2, 4, and 6. Its MAD is (2 + 4 + 6) ÷ 3 = 4. Set 2 has a mean of (82 + 80 + 60 + 90) ÷ 4 = 78, and its absolute deviations are 4, 2, 18, and 12, giving a MAD of 9. Since 4 is 5 less than 9, the correct choice is B, “The MAD of set 1 is 5 less than the MAD of set 2.”

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