Normal distribution/Definition: Difference between revisions
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imported>Nick Gardner No edit summary |
imported>Nick Gardner No edit summary |
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<noinclude>{{Subpages}}</noinclude> | <noinclude>{{Subpages}}</noinclude> | ||
a symmetrical bell-shaped probability distribution representing the frequency or random variations of a quantity from its mean <br><small>( | a symmetrical bell-shaped probability distribution representing the frequency or random variations of a quantity from its mean <br><small>(defined as | ||
:<math> | :<math> | ||
\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.) |
Revision as of 15:50, 23 May 2009
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.)