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Set A: {2, 4, 6, 8, 10} and Set B: {4, 5, 6, 7, 8}. Which statement is true about the standard deviations of these sets?

GRE · 2022 · quant slot 2
Question:
Set A: {2, 4, 6, 8, 10} and Set B: {4, 5, 6, 7, 8}. Which statement is true about the standard deviations of these sets?

Options

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

Explanation:
Both sets have mean 6, but Set A has values more spread out from the mean (range = 8) compared to Set B (range = 4). Greater spread means greater standard deviation, so Set A has larger standard deviation.

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