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Normal Distribution Calculator

Use this normal distribution calculator to compute interval probabilities, percentiles, and tail probabilities with interactive PDF and CDF charts.

The normal distribution is the default model for many measurement-like variables. This calculator helps you evaluate interval probabilities, z-score style cutoffs, and percentiles with instant visual feedback.

Set the mean and standard deviation, then use the PDF and CDF charts to understand both the shape and the cumulative probability. The quantile controls are useful when you need to map a target probability to a threshold value.

Open The Interactive Tool

Launch the Normal Distribution workspace to plot the curve, inspect PDF/CDF behavior, and compute quantiles and interval probabilities.

Open Interactive Interval Probability
Frequently Asked Questions

What does this normal distribution calculator compute?

It computes interval probabilities, cumulative probabilities, and quantiles for a normal distribution with your chosen mean and standard deviation.

How do I compute a percentile with this calculator?

Use the Quantiles section, choose p between 0 and 1, and read xp where F(x_p) = p.

Is this the same as a z-score calculator?

A z-score calculator is a special case of the normal calculator where mean = 0 and standard deviation = 1.