Statistics calculatorNormal Distribution Density
Calculate probability density using the normal distribution density formula.
How the Normal Distribution Density works
This calculator applies the formula given in Formulae and Tables, State Examinations Commission (2014), page 36. Enter values in consistent units.
Formula and inputs
Math.exp(-(x-mean) × (x-mean) ÷ (2 × sd × sd)) ÷ (sd × Math.sqrt(2 × Math.PI))
Inputs: Value x, Mean μ, Standard deviation σ.
Using the result
The result is rounded to 8 decimal places. Check units, assumptions and significant figures before using the answer.