๐Ÿ””Normal Distribution Calculator

Enter the mean and standard deviation, choose a probability type, and get the area under the curve.

Free Normal Distribution Calculator

This normal distribution calculator finds the probability โ€” the area under the bell curve โ€” below a value, above a value, or between two values, given the distribution's mean and standard deviation. It works by converting your value(s) to z-scores using z = (x โˆ’ ฮผ) / ฯƒ, then computing the cumulative probability from the standard normal distribution.

Normal distributions show up everywhere in statistics: test scores, heights, measurement errors, and countless natural phenomena approximate this bell-shaped curve. Whether you're checking what percentage of a population falls in a range, or finding a percentile, this tool gives you the answer instantly along with the z-scores used.

Free, runs entirely in your browser, no sign-up required.