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For Hobbyists & Makers · Central Limit Theorem

Central Limit Theorem for an exam-score curve

Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate an exam-score curve live below — adjust the inputs and watch it respond, right in your browser.

Central Limit TheoremLive

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The central limit theorem is why the normal distribution is everywhere: no matter how skewed or lumpy the source distribution, the distribution of sample means becomes bell-shaped as the sample size grows. Try a heavily skewed exponential at n=1, then raise n and watch it turn normal.

▶ Run in Python

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Samples drawn0
Sample size10
Sourceexponential

Governing equation

Reading this result: At n=10 the sample means are already piling into a bell even though the exponential source is not normal — the central limit theorem kicking in.

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Frequently asked questions

Is this good for hobbyists & makers?
Yes — this version of "Central Limit Theorem for an exam-score curve" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.