But what is the Central Limit Theorem?

Published 2023-03-14

A visual introduction to probability's most important theorem
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Galton board shown in the video: amzn.to/3ZJK8nY

Thanks to these viewers for their contributions to translations
Hebrew: David Bar-On, Omer Tuchfeld
Hindi: Tapender1
Italian: anna-lombardo

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Timestamps
0:00 - Introduction
1:53 - A simplified Galton Board
4:14 - The general idea
6:15 - Dice simulations
8:55 - The true distributions for sums
11:41 - Mean, variance, and standard deviation
15:54 - Unpacking the Gaussian formula
20:47 - The more elegant formulation
25:01 - A concrete example
27:10 - Sample means
28:10 - Underlying assumptions

Correction: 6:37 The narration should say "skewed left"
Correction: 7:15 Again, the narration should say "skews a tiny bit left"

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

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Music by Vincent Rubinetti.
www.vincentrubinetti.com/

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