8
QuizMultiple Choice

Mean Absolute Deviation — Quiz

Question 8 • Concepts in Probability and Statistics

Which data set is the most clustered around its mean?

Answer
A
4, 10, 8, 6
B
2, 9 ,13, 4
C
11, 2, 9, 6
D
11, 3, 10, 4

Explanation

Each data set has a mean of 7. To compare how tightly the values cluster around the mean, compare their squared deviations from 7: A has a total of 20, while B, C, and D have totals of 74, 46, and 50. Since A has the smallest deviations overall, 4, 10, 8, 6 is the most clustered around its mean.

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