Mathlean · Online math workspace

Normal distribution calculator

Evaluate the normal density and related probability functions.

How to use this calculator

Edit PDF(NormalDistribution(mean,standard deviation),x). Use CDF instead of PDF for the left-tail probability.

Tap the math below to edit it and see the result. Once a result is ready, press Tab on a hardware keyboard to accept it. Outside a matrix, Return completes the line; the phone math keyboard has the same Return action.

Try it here

PDF⁡(NormalDistribution⁡(0,1),0)\operatorname{PDF}\left(\operatorname{NormalDistribution}\left(0,1\right),0\right)

Interactive tools require JavaScript. You can read the guide and example without it.

What to know

Density is not a point probability. Standard deviation must be positive; Quantile uses probabilities strictly inside the unit interval.

Mathlean combines visual mathematical input with computation and canvas tools. Results depend on the expression and available engine support; check important answers independently.

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