Statistical Library

Log-Normal Distribution in Google Sheets

For anything that can't go below zero — prices, durations, deal sizes.

Interactive Sandbox

10,000 simulations running live in your browser.

Base Value 100
1062.5115167.5220
P10 Worst Case 66.2
P50 Median 96.1
P90 Best Case 138.5

When to use it

The Log-Normal distribution is what you reach for when values must be strictly positive and you expect a long right tail: project costs almost always run over, never under zero. Salaries, asset prices, and time-to-failure all follow this shape. Parameterized by the mean and standard deviation of the underlying log-transformed variable, it's the workhorse of financial risk modeling.

  • Project cost estimation with no chance of negative spend
  • Startup revenue projections with high upside potential
  • Insurance claim size modeling
  • Time-to-failure analysis in reliability engineering

How to build it

Native Sheets Formula

=LOGNORM.INV(RAND(), logMean, logStdev)

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.