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A certain distribution X and Distribution Y have the same mean. Both distributions are symmetrical, but Distribution X is more variable than distribution Y. Given this information, we can correctly conclude that

X's variance is less than Y's variance

X's standard deviation is greater than Y's standard deviation

both distributions must have the same standard deviation

Y's standard deviation is greater than X's standard deviation

One cannot conclude any of the above without more information

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91005861

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