Two normally distributed variables have the same means and the same standard deviations. What can say about their distributions?

emancipezN 2020-10-27 Answered
Two normally distributed variables have the same means and the same standard deviations. What can say about their distributions?
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Expert Answer

dessinemoie
Answered 2020-10-28 Author has 90 answers
Step 1
Two normally distributed variables have the same means and standard deviations have the same distribution.
Step 2
Two normal distributions having the same mean are centered at the same place, regardless of the relationship between their standard deviation.
Two normal distributions having the same standard deviation have the same shape, regardless of the relationship between their means.
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