Question

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

Short answer

Normal distributions having same means and same standard deviations have same distributions

Step-by-step solution

Basics 

Normal Distribution is continuous probability distribution curve; which is non skewed, symmetric and has a bell shape.

Mean of the distribution shows mathematical average as a measure of central tendency. Standard deviation shows spread, scattered-ness as a measure of dispersion.

Explanation 

If means and standard deviations of two variables are equal, their average (centre) & their dispersion (spread) are same.

So, the two normal distributions are identical or same.