uniform distribution
Assuming "uniform distribution" is a probability distribution | Use as instead

Input

uniform distribution | minimum | min maximum | max

Statistical properties

mean | (max + min)/2 standard deviation | (max - min)/(2 sqrt(3)) variance | 1/12 (max - min)^2 skewness | 0 kurtosis | 9/5 = 1.8

Probability density function (PDF)

piecewise | 1/(max - min) | min<=x<=max 0 | (otherwise)

Plots of PDF for typical parameters

Plots of PDF for typical parameters

Cumulative distribution function (CDF)

P (X<=x) = piecewise | (x - min)/(max - min) | min<=x<=max 1 | x>max

Percentiles

10th | 0.1 max + 0.9 min 25th | 0.25 max + 0.75 min 50th | 0.5 max + 0.5 min 75th | 0.75 max + 0.25 min 90th | 0.9 max + 0.1 min
POWERED BY THE WOLFRAM LANGUAGE