If two distributions have the same mean but different standard deviations, which statement is TRUE? MCQ with Answer and Explanation

If two distributions have the same mean but different standard deviations, which statement is TRUE?
A. The one with larger SD has more spread around the mean
B. Their medians must be equal
C. They have identical shapes
D. Their modes must be equal
Answer: Option A
Solution (By JKSSB Mock Tests)
Standard deviation measures dispersion; a larger SD indicates greater variability of observations around the mean, regardless of the mean's value or distribution shape.

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Correct Answer: Option B


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