Normal Distribution Calculator
Calculate probabilities for normal (Gaussian) distributions with this free online tool.
Understanding Normal Distribution
The normal distribution, also known as the Gaussian distribution, is one of the most important probability distributions in statistics. It forms a symmetric bell-shaped curve centered around the mean.
Key Properties
A normal distribution is characterized by two parameters:
- Mean (μ): The center of the distribution
- Standard Deviation (σ): Measures the spread of the distribution
The 68-95-99.7 Rule
In a normal distribution:
- About 68% of the data falls within one standard deviation of the mean
- About 95% falls within two standard deviations
- About 99.7% falls within three standard deviations