Normal Distribution: Difference between revisions

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f(x) {{=}} (<sup>1</sup>&frasl;<sub>σ &radic;2π </sub>) e<sup>-(<sup>(x-µ)<sup>2</sup></sup> &frasl; <sub>2&sigma;<sup>2</sup></sub>)</sup>
f(''x'') {{=}} (<sup>1</sup>&frasl;<sub>σ {{math|{{radical|}}}}</sub>) ''e''<sup>-<sup>(x-µ)&sup2;</sup>&frasl;<sub>2&sigma;&sup2;</sub></sup>
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Revision as of 15:22, 3 August 2013

The normal distribution is

f(x) = (1σ ) e-(x-µ)²2σ²



The parameter μ in this formula is the mean or expectation of the distribution (and also its median and mode). The parameter σ is its standard deviation; its variance is therefore σ' 2. A random variable with a Gaussian distribution is said to be normally distributed and is called a normal deviate.