Calculate probabilities and Z-scores using the normal distribution.
Distribution Parameters
PDF / CDF Values
Z-Score0.0000
Cumulative Prob. (P < x)0.50000Area to the left
Right Tail (P > x)0.50000Area to the right
Probability Density (PDF)0.39894
About this calculator
What is Normal Distribution?
The normal distribution (bell curve) is a continuous probability distribution that is symmetric about the mean. It describes many natural phenomena like heights, IQ scores, and measurement errors.
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Pro Tips
68% of data falls within 1 standard deviation.
95% of data falls within 2 standard deviations.
99.7% of data falls within 3 standard deviations.
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Fun Facts
"Also known as the Gaussian distribution."
"The Central Limit Theorem states that averages of samples tend to be normally distributed."
