Normal Distribution Calculator
Find probabilities and percentiles for normal distribution with custom mean and standard deviation
About this calculator
The Normal Distribution Calculator helps you find probabilities and percentiles for any normal distribution by customizing the mean and standard deviation parameters. This tool is essential for statistics students, researchers, and professionals who need to analyze data that follows a bell curve pattern. Whether you're calculating z-scores, finding areas under the curve, or determining critical values, this calculator provides accurate results for hypothesis testing, quality control, and statistical analysis across various fields including finance, psychology, and engineering.
How to use
Enter your desired mean and standard deviation values to define your normal distribution. Then input either a specific value to find its probability or percentile, or enter a probability to find the corresponding value. The calculator will instantly compute the results and display the probability density, cumulative probability, or percentile value based on your input parameters.
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.
How do I interpret the results?
The probability shows the likelihood of getting a value, while percentiles indicate what percentage of data falls below a specific point in the distribution.
Can I use this for standardized tests?
Yes, you can analyze standardized test scores by entering the test's mean and standard deviation to find percentiles and probability ranges.