Normal Distribution Calculator
Calculate probabilities and z-scores for the normal (Gaussian) distribution
Results:
Z-Score: 0.0000
P(X ≤ 0): 50.0000%
P(X > 0): 50.0000%
Percentile: 50.00th
PDF at X: 0.398942
About Normal Distribution
The normal distribution (bell curve) is a continuous probability distribution characterized by its mean (μ) and standard deviation (σ).
Z-Score: Z = (X - μ) / σ
Properties:
- 68% of data falls within 1 standard deviation
- 95% within 2 standard deviations
- 99.7% within 3 standard deviations