Gaussian Random Number Generator
Generate random numbers following a Gaussian (normal) distribution. Specify the mean and standard deviation to create natural-looking random data for simulations, testing, and statistical analysis.
Note: Values follow a normal distribution centered at μ with spread determined by σ. Approximately 68% of values fall within ±1σ of the mean.
Why use this tool?
The Gaussian (normal) distribution is one of the most important probability distributions in statistics and science. Many natural phenomena follow this pattern, from heights of people to measurement errors.
- Natural randomness — Generates values that cluster around the mean like real-world data.
- Customizable parameters — Set any mean and standard deviation for your needs.
- Secure generation — Uses cryptographically secure random number generation.
- Privacy-focused — All generation happens in your browser. No data is sent to servers.
How to use
- Set the Mean (μ) — the center of your distribution.
- Set the Standard Deviation (σ) — controls how spread out values are.
- Choose how many random numbers to generate (1-100).
- Click Generate to create your Gaussian random numbers.
- Click Copy Results to copy the numbers to your clipboard.
Frequently Asked Questions
A Gaussian distribution, also known as a normal distribution or bell curve, is a probability distribution where values cluster around the mean. About 68% of values fall within one standard deviation of the mean, 95% within two, and 99.7% within three.
Yes, the MushTools Gaussian Random Number Generator is completely free with no sign-up required. All generation happens in your browser using cryptographically secure random values.
Yes, you can specify how many random numbers to generate (up to 100) and they will all be displayed together following the normal distribution.
No. Everything runs client-side in your browser. Your generated numbers are not stored or sent to any server.