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Normal Distribution Calculator (Z-Score & Probability)

Find probabilities under the normal (bell) curve from mean and standard deviation – P(X < x), P(X > x), between two values – plus z-scores and inverse normal.

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Enter values

What is the Normal Distribution Calculator?

Enter the mean and standard deviation, then a value (or two values) to find the probability below, above or between them. The tool also gives the z-score, and can do the reverse: find the value for a given percentile. A shaded bell curve shows the area.

How to use the Normal Distribution Calculator

  1. Enter the mean μ and standard deviation σ.
  2. Pick the type of probability and enter x (and x₂ for between).
  3. For inverse, enter a probability like 0.95.

What is a z-score?

z = (x - μ) / σ – how many standard deviations x is from the mean.

This Normal Distribution Calculator is 100% free, needs no signup and runs privately in your browser – on phone, tablet or computer.

Last updated: · By NodifyTech