Continuous uniform distribution calculator
Every subinterval of the same length has the same probability between a and b.
How do I use this page?
- Enter bounds a<b.
- Choose density, CDF, tail or quantile.
- Provide x or probability q.
What this page does not do: The model assumes equal density across the interval. It does not fit data concentrated near the centre or the boundaries.
Further reading
Theory — what is the uniform distribution?
The continuous uniform distribution U(a,b) assigns a constant probability density of 1/(b−a) across the entire interval from a to b. This means every subinterval of the same length has identical probability, regardless of where it falls within the range. The probability of hitting a single exact point is always zero, even though the density inside the interval is positive — this follows from the nature of continuous distributions. For the same reason, whether the endpoints are included or not has no effect on the probability value.
Frequently asked questions
Do the endpoints change probability?
What is the median quantile?
See also
A/B test calculator
Compare two proportions in an A/B test. Calculate conversion rates, difference, uplift, z score, p value and c
A/B test planning — sample size, MDE and duration
Plan a two-proportion experiment, estimate detectable effect and traffic duration.
ACF and PACF autocorrelation calculator
Calculate ACF and PACF across time-series lags. Review the chart, reference bounds and coefficient table.