Normal Distribution Calculator
Calculate probabilities, percentiles, and critical values for normal distribution
About this calculator
The Normal Distribution Calculator is a powerful statistical tool that helps you compute probabilities, percentiles, and critical values for normally distributed data. This calculator is essential for students, researchers, and professionals working with statistics, quality control, finance, and scientific research. Whether you're finding the probability of a specific outcome, determining percentile ranks, or calculating confidence intervals, this tool provides accurate results instantly without requiring complex mathematical computations or statistical tables.
How to use
Enter your distribution parameters including the mean (μ) and standard deviation (σ). Choose your calculation type: probability for a given value, percentile for a probability, or critical value for confidence intervals. Input the relevant value and click calculate to get your result with detailed explanations.
Frequently asked questions
What is a normal distribution?
A normal distribution is a bell-shaped probability distribution that's symmetric around the mean, where most values cluster near the center and fewer appear at the extremes.
When should I use this calculator?
Use it for hypothesis testing, confidence intervals, quality control analysis, standardized test scores, or any statistical analysis involving normally distributed data.
What's the difference between percentiles and probabilities?
Percentiles show what percentage of data falls below a value, while probabilities show the likelihood of observing a specific range of values.