Title: Standard Normal Distribution -- from Wolfram MathWorld
Open Graph Title: Standard Normal Distribution -- from Wolfram MathWorld
X Title: Standard Normal Distribution -- from Wolfram MathWorld
Description: A standard normal distribution is a normal distribution with zero mean (mu=0) and unit variance (sigma^2=1), given by the probability density function and distribution function P(x) = 1/(sqrt(2pi))e^(-x^2/2) (1) D(x) = 1/2[erf(x/(sqrt(2)))+1] (2) over the domain x in (-infty,infty). It has mean, variance, skewness, and kurtosis excess given by mu = 0 (3) sigma^2 = 1 (4) gamma_1 = 0 (5) gamma_2 = 0. (6) The first quartile of the standard normal distribution occurs when D(x)=1/4,...
Open Graph Description: A standard normal distribution is a normal distribution with zero mean (mu=0) and unit variance (sigma^2=1), given by the probability density function and distribution function P(x) = 1/(sqrt(2pi))e^(-x^2/2) (1) D(x) = 1/2[erf(x/(sqrt(2)))+1] (2) over the domain x in (-infty,infty). It has mean, variance, skewness, and kurtosis excess given by mu = 0 (3) sigma^2 = 1 (4) gamma_1 = 0 (5) gamma_2 = 0. (6) The first quartile of the standard normal distribution occurs when D(x)=1/4,...
X Description: A standard normal distribution is a normal distribution with zero mean (mu=0) and unit variance (sigma^2=1), given by the probability density function and distribution function P(x) = 1/(sqrt(2pi))e^(-x^2/2) (1) D(x) = 1/2[erf(x/(sqrt(2)))+1] (2) over the domain x in (-infty,infty). It has mean, variance, skewness, and kurtosis excess given by mu = 0 (3) sigma^2 = 1 (4) gamma_1 = 0 (5) gamma_2 = 0. (6) The first quartile of the standard normal distribution occurs when D(x)=1/4,...
Opengraph URL: https://mathworld.wolfram.com/StandardNormalDistribution.html
Domain: mathworld.wolfram.com
| DC.Title | Standard Normal Distribution |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A standard normal distribution is a normal distribution with zero mean (mu=0) and unit variance (sigma^2=1), given by the probability density function and distribution function P(x) = 1/(sqrt(2pi))e^(-x^2/2) (1) D(x) = 1/2[erf(x/(sqrt(2)))+1] (2) over the domain x in (-infty,infty). It has mean, variance, skewness, and kurtosis excess given by mu = 0 (3) sigma^2 = 1 (4) gamma_1 = 0 (5) gamma_2 = 0. (6) The first quartile of the standard normal distribution occurs when D(x)=1/4,... |
| DC.Date.Modified | 2007-09-22 |
| DC.Subject | 62E |
| DC.Rights | Copyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement. |
| DC.Format | text/html |
| DC.Identifier | https://mathworld.wolfram.com/StandardNormalDistribution.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2007-09-22 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_StandardNormalDistribution.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_StandardNormalDistribution.png |
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