Normal distribution/Definition: Difference between revisions

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a symmetrical bell-shaped probability distribution representing the frequency or random variations of a quantity from its mean <br><small>(the probability function
a symmetrical bell-shaped probability distribution representing the frequency or random variations of a quantity from its mean <br><small>(defined as
:<math>
:<math>
f(x;\mu,\sigma) =
\frac{1}{\sigma\sqrt{2\pi}} \, e^{ -\frac{(x- \mu)^2}{2\sigma^2}},</math> where <math> \scriptstyle{\sigma} \ </math> is the ''standard deviation'', and, <math> \scriptstyle{\mu} \ </math> is the mean.)
\frac{1}{\sigma\sqrt{2\pi}} \, e^{ -\frac{(x- \mu)^2}{2\sigma^2}},</math> where <math> \scriptstyle{\sigma} \ </math> is the ''standard deviation'', and, <math> \scriptstyle{\mu} \ </math> is the mean.)

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A definition or brief description of Normal distribution.

a symmetrical bell-shaped probability distribution representing the frequency or random variations of a quantity from its mean
(defined as

where is the standard deviation, and, is the mean.)