Normal Distribution Calculator

Calculate probabilities, z-scores, and visualize the bell curve for any normal distribution

Select the type of calculation you want to perform (area/probability or score conversion)
Enter the mean (μ) and standard deviation (σ) of your distribution
Input your values (z-scores or raw scores) depending on the calculation type
Click "Calculate" to see the results and visualization
Use the "Reset" button to clear all inputs and start over

Calculation Type

Mean (μ)

Standard Deviation (σ)

Value 1 (a) Value 2 (b)

Value

Z-Score

The normal distribution is a bell-shaped curve where most values cluster around the mean. It's defined by:

Common uses include statistics, quality control, and natural phenomena modeling.

Area Calculations: Find probabilities for ranges of values in a normal distribution.

Z-Scores: Standardized values showing how many standard deviations a value is from the mean.

Formulas: