Home Univariate Data Distributions Common Distributons Continuous Distributions Normal Distribution 

See also: distributions, test for normality, central limit theorem, lognormal distribution, relationship between distributions, Continuous Uniform Distribution, ShapiroWilk Test, Confidence Interval 



Normal Distribution
Definition 

Properties 
 The distribution is symmetric about the first moment (= mean)
 The term "normal distribution" is often used for any distribution looking like a normal distribution. In order to
avoid any mistakes the term "standard normal distribution", or "standard
normal probability density function" should be used for normal
distributions which have a standard deviation of 1.0 and a mean of 0.0.

Graphic Representation 
You may
test the shape of the normal distribution for various standard deviations by
starting the following interactive example . 
Applications 
One of the most important distributions in statistical theory, but
frequently not occurring as often expected. The importance of the normal
distribution in statistics is caused by the central limit theorem. Examples

bodyheight of adult women between 40 and
50

blood pressure

results of analytical measurements

Mean 
μ 
Variance 
σ^{2} 

Home Univariate Data Distributions Common Distributons Continuous Distributions Normal Distribution 
