Normal Distribution Calculator
Calculate PDF, CDF and quantiles (inverse CDF) of normal distribution. Supports curve plotting and random sampling, local-first, simple and free
Parameters
Set mean, standard deviation and query points to calculate PDF, CDF and interval probabilities.
Results
Instant output of tail probabilities and interval areas.
Normal Distribution Calculator Documentation
What is Normal Distribution Calculator?
Normal Distribution Calculator is a professional statistical calculation tool for calculating the probability density function (PDF), cumulative distribution function (CDF) and quantiles (inverse CDF) of normal distribution (Gaussian distribution). Supports curve plotting and random sampling, all calculations are done locally in the browser to ensure data security.
Core Features
Frequently Asked Questions
Is this normal distribution calculator free?
Yes, 100% free to use, no registration/login required, and no hidden fees.
What do μ (mean) and σ (standard deviation) represent?
μ determines the center position of the curve (left-right translation), σ determines the dispersion of the curve (width of the bell curve).
What is the difference between PDF and CDF?
PDF is the density at a certain x (curve height); CDF is the probability P(X ≤ x) (cumulative area under the curve).
How to calculate quantile (inverse CDF)?
Enter probability p (e.g., 0.95) in "p (0-1)", click "Calculate Quantile" button, the tool will calculate the x value that satisfies CDF(x)=p.
Is data secure? Can it be used offline?
Secure. All calculations are done locally in the browser, no files or data are uploaded; can be used offline in many cases after first load.