# Normal Distribution Calculator

> Calculate normal distribution probabilities from a raw score or z-score. Supports left tail, right tail, and between-two-values modes.

**URL:** https://www.calculatoranswers.com/normal-distribution-calculator
**Category:** Education

## Quick Answer

Calculate normal distribution probabilities and percentiles. Enter your mean, standard deviation, and range bounds to find areas under the bell curve.

## Definition

A normal distribution calculator is a statistical tool that computes probabilities and percentiles for a normally distributed dataset. Using the population mean and standard deviation, the calculator determines the probability of a random variable falling within a specific range, above a threshold, or below a threshold by calculating the corresponding z-scores. It can also perform the inverse operation, finding the raw data value that matches a target percentile. Students, statisticians, and data analysts use this utility to evaluate standard distributions and test hypothesis models.

## How to Use

1. **Enter mean and deviation** — Input the population mean and standard deviation of your dataset.
2. **Choose calculations type** — Select whether you want to find the probability of a value range or locate a percentile.
3. **Specify bounds** — Type the lower and upper bounds of your target range.
4. **Read probability** — View the calculated z-scores and the corresponding percentage area under the normal curve.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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