16
practice testMultiple Choice

Practice Test

Question 16 • Algebra II

Which set of population data is the least dispersed from its mean?

Answer
A
2, 3, 2, 9
B
4, 0, 4, 0
C
9, 3, 5, 3
D
6, 2, 2, 2

Explanation

To compare dispersion from the mean, calculate how far each value is from its set’s mean. In B, the mean is 2, and the values are each 2 units from it, giving a population variance of 4. The variances for A, C, and D are 8.75, 6, and 3, respectively—so actually D is the least dispersed, with values 6, 2, 2, 2 and mean 3; its variance is 3. Therefore, the correct choice is D, “6, 2, 2, 2.”

AI-written and checked against the verified answer.

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