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For Students · Distributions

Distributions for a Taylor approximation

Built for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition. Simulate a Taylor approximation live below — adjust the inputs and watch it respond, right in your browser.

Probability DistributionsLive

PDF / PMF explorer

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Mean μ

Std dev σ

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Data Inspector

Distributionnormal

Mean0.000

Variance1.000

Std dev1.000

Governing equation

f (x) = \frac{1}{2 π 1.00} e^{- \frac{( x - 0 ) ^{2}}{2 \cdot 1.00}}

Reading this result: The mean μ only slides the bell sideways while σ sets its width — variance is σ² = 1.00, so doubling σ quadruples the spread.

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Frequently asked questions

Is this good for students?: Yes — this version of "Distributions for a Taylor approximation" is framed for students learning it for a class or exam. See the concept move instead of memorizing formulas — and check your homework intuition.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.