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. Their medians must be equal
B. The one with larger SD has more spread around the mean
C. Their modes must be equal
D. They have identical shapes
Answer: Option B
Solution (By JKExamLibrary)
Standard deviation measures dispersion; a larger SD indicates greater variability of observations around the mean, regardless of the mean's value or distribution shape.

This question belongs to: Accountancy and Statistics Statistics

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