How do I get a quantile (inverse CDF)?

Enter a probability p (for example 0.95) in the Quantile/Inverse CDF section to compute the x value where CDF(x)=p.

Is my data private and can it work offline?

Yes. Calculations run locally in your browser (no uploads). After the first load, it can work offline in many cases.

Normal Distribution – Statistics | Free Online Tool

Parameters

Set mean, deviation, and the query points to compute PDF, CDF, and ranges.

Auto update Standard normal Compare Distributions

Mean μ Std dev σ x p (0-1) Central area c Lower bound a Upper bound b Precision Shaded area

Quick ranges

Confidence

Results

Instant outputs with tail probabilities and range areas.

PDF CDF Right tail (1 − CDF) Two-tailed p z-score Quantile Central lower Central upper Sample P(a≤X≤b) Outside P(X≤a or ≥b)

Normal Distribution

Compute Normal distribution PDF, CDF and inverse CDF (quantile). Plot curve and sample values — local-first, easy and free.

Statistics

How people use it

This browser-based tool is designed to be fast, easy to use, and private by default. Open the tool, adjust the settings, and get results instantly without creating an account or sending files to a server.

Everything runs locally in the browser whenever possible, which reduces friction for users and makes the page more useful as a direct-answer landing page from search.

Common topics

The following topics are closely related to this tool and help explain what it is for:

normal
gaussian
pdf
cdf
quantile
z-score
statistics
online

Quick answers

Is this normal distribution calculator free?

Yes. It is 100% free to use with no sign-up, subscriptions, or hidden limits.

What do μ (mean) and σ (standard deviation) do?

μ shifts the curve left/right (center), and σ controls the spread (how wide or narrow the bell curve is).

What is the difference between PDF and CDF?

PDF gives the density at x (the bell curve height). CDF gives the probability that X ≤ x (area under the curve).

Normal Distribution Documentation & Guide

Compute Normal distribution PDF, CDF and inverse CDF (quantile). Plot curve and sample values — local-first, easy and free. Enjoy fast, no-signup, browser-based results with offline-friendly processing.

Overview

Normal Distribution is an easy and free online tool that runs in your browser.

What you can do with this tool

Key capabilities (based on the actual UI and code):

Runs in your browser (local-first)

Read the full guide forNormal Distribution