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QuizMultiple Choice

Mean Absolute Deviation

Question 1 • High School Math 2 A

Which data set is the most spread from its mean?

Answer
A
14, 26, 24, 28
B
22, 16, 18, 36
C
22, 28, 20, 22
D
21, 19, 27, 25

Explanation

Each data set has a mean of 23. To compare how spread out the values are, compare their squared distances from 23. For choice B, the squared distances are 1, 49, 25, and 169, which total 244—the largest total among the choices. So 22, 16, 18, 36 is the most spread from its mean.

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