The normal distribution (the term first used by Galton, 1889) function is determined by the following formula:

f(x) = 1/[(2p)1/2 * s] * e**{-1/2*[(x-m)/s]2}

∞ < x < ∞

where

m |
is the mean |

s |
is the standard deviation |

e |
is the base of the natural logarithm, sometimes called Euler's e (2.71...) |

p |
is the constant Pi (3.14...) |

See also, Bivariate Normal Distribution, Elementary Concepts (Normal Distribution), Basic Statistics - Tests of Normality, Distribution Fitting - Normal Distribution, Q-Q Plots - Normal Distribution, and P-P Plots - Normal Distribution.

For a complete listing of all distribution functions, see Distributions and Their Functions.