Eroxl's Notes
Normal Distribution
aliases
Gaussian Distribution

A normal distribution is a specific type of distribution taking the following general form

Where the parameter represents the mean of the distribution and represents the variance.

Y axisX axis00-3-3-2-2-1-11122330.50.511Expression 1Expression 2Expression 3sigma equals 0.5 ,mu equals 1sigma equals 1 ,mu equals 0sigma equals 2 ,mu equals 0Expression 10Expression 11Expression 12σ=0.5,σ=0.5,μ=1μ=1σ=1,σ=1,μ=0μ=0σ=2,σ=2,μ=0μ=0

Interquartile Range

Given a normal distribution the interquartile range can be calculated as follows, as the standard score for the first and third quartiles are and .

The 68-95-99.7 Rule

Given a normal distribution the following statements are typically true