Normal Distribution Calculator

Calculate probabilities, z-scores, and percentiles for the normal distribution. Enter mean, standard deviation, and value.

Calculation Type *

Decimal Precision

Mean (μ) *

Standard Deviation (σ) *

Must be greater than 0

Value (x) *

Show Steps

Show Graph

⚠️

Normal Distribution Result

—

📊

Normal Distribution Curve

Visual representation of the normal distribution

—

📋

Calculation Breakdown

Step-by-step calculation

🎯

Result

—

Value

📐

Z-Score

—

Standard deviations

📊

Mean (μ)

—

Center

📈

SD (σ)

—

Spread

📖

Normal Distribution Formulas

Key formulas and concepts

💡

Normal Distribution Tips

Understanding the normal distribution

📊 Statistical Disclaimer: This calculator uses the standard normal distribution. Results are approximations for educational purposes. The normal distribution assumes continuous data.