Get Math Help

GET TUTORING NEAR ME!

(800) 434-2582

By submitting the following form, you agree to Club Z!'s Terms of Use and Privacy Policy

    Home / Get Math Help

    Uniform Distribution

    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

    Plots of CDF for typical parameters

    Plots of CDF for typical parameters

    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

    Back to List | POWERED BY THE WOLFRAM LANGUAGE