stats

Uniform Distribution

Continuous and discrete uniform distributions — PDF/PMF, CDF, range probability, random sample dot plot generator.

Parameters

Distribution type

a — lower bound

b — upper bound (> a)

Query type

x value

Random sample (n=20)

Results

amber = x value

PDF f(x) = 1/(b−a)1

CDF F(x) = (x−a)/(b−a)0.5

Distribution properties

Mean0.5

Std dev0.2887

Variance0.08333

Skewness0

Kurtosis excess−6/5 = −1.2

PDF height 1/(b−a)1

f(x) = 1/(b−a) on [a,b] · F(x) = (x−a)/(b−a) · Var = (b−a)²/12