Why do two normal distributions that have equal standard deviations have the same shape?

Question
Normal distributions
asked 2021-02-22
Why do two normal distributions that have equal standard deviations have the same shape?

Answers (1)

2021-02-23
Step 1
In this case, we need to explain the reason for the two normal distribution with equal standard deviation have same shape.
Step 2
The normal distributions were bell shaped or symmetric about the population mean and the standard deviation states the square root of deviations about the mean. That is, spread from the mean. Thus, two normal distribution with equal standard deviation have same shape.
0

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