# Why is the “central limit” a normal distribution?

A visual trick to compute the sum of two normally-distributed variables.
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For the technically curious who want to go deeper, here’s a proof of the central limit theorem using Moment generating functions:
https://www.cs.toronto.edu/~yuvalf/CLT.pdf

And here’s a nice discussion of methods using entropy:
https://mathoverflow.net/questions/182752/central-limit-theorem-via-maximal-entropy

Relevant previous videos

Central limit theorem

Why π is there, and the Herschel-Maxwell derivation

Time stamps
0:00 – Recap on where we are
2:10 – What direct calculation would look like
3:38 – The visual trick
8:27 – How this fits into the Central Limit Theorem
12:30 – Mailing list

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https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/

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https://www.vincentrubinetti.com/

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