9
QuizMultiple Choice

Mean Absolute Deviation — Quiz

Question 9 • Concepts in Probability and Statistics

Which data set is the most clustered around its mean?

Answer
A
10, 30, 40, 20
B
12, 14, 36, 38
C
8, 42, 30, 30
D
30, 25, 15, 30

Explanation

Each data set has a mean of 25 except C, whose mean is 27.5. For D, the values are only 5, 0, 10, and 5 units from its mean, giving the smallest total squared distance from the mean (150), so D is the most clustered.

AI-written and checked against the verified answer.

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