Normal Distribution

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The normal distribution is

f(x) = (1σ ) e-(x-µ) ²2σ ²

Normal distribution
Probability density function
Probability density function for the normal distribution
The red curve is the standard normal distribution
Cumulative distribution function
Cumulative distribution function for the normal distribution
Notation Dist Normal Notation.png
PDF Dist Normal PDF.png
CDF Dist Normal CDF.png
Mean µ
Median µ
Mode µ
Variance σ²
Skewness 0
Kurtosis 0

Curve Equation
Half Normal Distribution Equations

  • 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.

Standard Normal.png

Probability Density Function.png

Cumulative Density Function.png