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 | a symmetrical bell-shaped probability distribution representing the frequency or random variations of a quantity from its mean (the probability function | ||
:<math> | :<math> | ||
f(x;\mu,\sigma) = | 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.) |
Revision as of 11:16, 23 May 2009
a symmetrical bell-shaped probability distribution representing the frequency or random variations of a quantity from its mean (the probability function
- where is the standard deviation, and, is the mean.)