If two distributions have the same mean but different standard deviations, which statement is TRUE?
A. Their modes must be equal
B. Their medians must be equal
C. They have identical shapes
D. The one with larger SD has more spread around the mean
Answer: Option D
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.
Explanation:
A standard deck has 52 distinct cards (4 suits × 13 ranks), so the sample space for a single draw contains 52 equally likely elementary outcomes.
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