Gaussian RNG
Generate normally distributed random numbers using the Box-Muller transform with custom mean and standard deviation.
Last updated: May 10, 2026
Generator Options
The average value or center of the distribution.
The spread of the bell curve. Higher value = wider spread.
Distribution
Raw Data Output
Gaussian RNG — No Uploads Required
An advanced statistical utility for generating random numbers that follow a normal (Gaussian) distribution. Utilizing the Box-Muller transform algorithm, this tool allows you to specify a custom mean (μ) and standard deviation (σ). It's an essential online calculator for data scientists, statisticians, and developers needing realistic, normally distributed sample sets for simulations, testing, or statistical modeling. Generate single values or bulk datasets instantly in your browser without any server-side processing.
Why This Tool Exists
What makes this useful — and why I built it this way.
Accurate Modeling: Perfect for simulating real-world phenomena.
Visual Feedback: Built-in histograms let you verify the distribution shape immediately.
Fast & Secure: No data is sent to external servers.
When You'd Use This
Real situations where this tool saves the day.
Data Science: Creating mock datasets for machine learning models.
Game Development: Procedurally generating natural-feeling random events.
Statistics: Teaching or testing normal distribution theories.
Using Gaussian RNG
It's straightforward — here's how it works.
Enter your desired Mean (average value).
Enter your desired Standard Deviation (spread of the curve).
Specify how many numbers you wish to generate.
Click 'Generate' to create the dataset and view the histogram distribution.
Questions People Ask
Honest answers about how this works.
What algorithm does this use?
Great question. This tool uses the Box-Muller transform, a pseudo-random number sampling method for generating pairs of independent, standard, normally distributed random numbers.
Can I really generate a large dataset?
Yes, you can generate up to 10,000 numbers at a time and export them as a CSV file.
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