Question

what are the characteristics of normal distribution?

Answer 1

You mean the normal distribution in probability theory?

Answer 2

\[\frac{e ^{-(x-\mu)^2/2\sigma^2} }{\sigma*\sqrt{2\pi}}\]
\[\mu\] is a mathematical expectation.
\[\sigma\] is a square root of variance.
theese 2 are numerical characteristics of normal distribution.