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Set A: {10, 20, 30, 40, 50}. Set B: {28, 29, 30, 31, 32}. Which statement is true about the standard deviations?

GRE Β· 2021 Β· quant slot 2
Question:
Set A: {10, 20, 30, 40, 50}. Set B: {28, 29, 30, 31, 32}. Which statement is true about the standard deviations?

Options

(A) Set A has a smaller standard deviation
(B) Set B has a smaller standard deviation
(C) Both sets have equal standard deviations
(D) Cannot be determined
(E) Both have zero standard deviation
Answer: (B) Set B has a smaller standard deviation

Explanation:
Both sets have the same mean (30), but Set B has values clustered closer to the mean, resulting in a smaller standard deviation. Set A has values spread from 10 to 50, while Set B ranges only from 28 to 32.

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