Statistical Library

Uniform Distribution in Google Sheets

Every outcome equally likely — maximum uncertainty.

Interactive Sandbox

10,000 simulations running live in your browser.

Base Value 100
7889100111122
P10 Worst Case 84.1
P50 Median 100.2
P90 Best Case 116

When to use it

The Uniform distribution assigns equal probability to every value between a minimum and maximum. It's the right choice when you have absolutely no reason to favor one outcome over another within a range: regulatory fee ranges, bid prices in a sealed auction, or any scenario where all you can say is 'it'll be somewhere between X and Y.' It's also used as a building block inside other distributions.

  • Regulatory fee or tax rate uncertainty within a legislated range
  • Raw material price bounds when market is thin
  • Random tie-breaking and sampling in sensitivity analysis
  • Worst-case / best-case bounding analysis

How to build it

Native Sheets Formula

=a + RAND() * (b - a)

Using native RAND() requires you to copy this formula 10,000 times manually, which severely lags the browser.

The MonteSheet Way

MonteSheet uses a local browser engine to run 100,000 iterations in 4 seconds without writing a single formula.