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Home/Mathematics/Statistics/Normal Distribution Calculator
Math CalculatorStatistics

Normal Distribution Calculator

Calculate probabilities for the normal (Gaussian) distribution. Find the probability that a value falls below, above, or between two points in a normal distribution curve.

Updated 2025-01-154 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

Enter the mean of the distribution

Enter the standard deviation

Enter the value to evaluate

Select the probability direction

Formula & Methodology

How this calculator works

P(X ≤ x) = ∫₋∞ˣ (1/σ√2π) · e^(-(t-μ)²/2σ²) dt

The normal distribution probability is calculated using the cumulative distribution function (CDF). The z-score standardizes the value, and the CDF lookup gives the probability.

Frequently Asked Questions

Common questions about this calculator

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