Describe › Distribution calculators

Uniform distribution calculator

The uniform distribution calculator returns probabilities and quantiles for a value equally likely anywhere between a minimum and a maximum.

What is Uniform distribution calculator?

The continuous uniform assigns equal density across an interval. It is the reference distribution for p-values under a true null hypothesis, and the starting point for generating every other distribution by inverse transform.

Because the density is flat, probabilities are simple proportions of the interval — which makes it a useful check that a calculator, or an intuition, is behaving.

When should I use Uniform distribution calculator?

Confirming that p-values are uniform under the null.
Computing a proportion of an interval.
Checking an inverse-transform derivation.

What data does it need?

Distribution parameters, plus a value x, a tail probability p, or both.

What does it report?

For x: the density or exact probability and each tail. For p: the lower, upper and two-tailed critical values.

What does it assume?

None — this evaluates a distribution rather than testing data against one.