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Normal Distribution
Statistical properties
mean | μ mode | μ standard deviation | σ variance | σ^2 skewness | 0
Probability density function (PDF)
e^(-(x - μ)^2/(2 σ^2))/(sqrt(2 π) σ)
Plots of PDF for typical parameters
Cumulative distribution function (CDF)
P (X<=x) = 1/2 erfc((μ - x)/(sqrt(2) σ))
Plots of CDF for typical parameters
Percentiles
10th | μ - 1.28155 σ 25th | μ - 0.67449 σ 50th | μ 75th | μ + 0.67449 σ 90th | μ + 1.28155 σ