But what is the Central Limit Theorem?
A visual introduction to probability’s most important theorem
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Galton board shown in the video: https://amzn.to/3ZJK8nY
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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
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These animations are largely made using a custom python library, manim. See the FAQ comments here:
https://www.3blue1brown.com/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/
You can find code for specific videos and projects here:
https://github.com/3b1b/videos/
Music by Vincent Rubinetti.
https://www.vincentrubinetti.com/
Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown
Stream the music on Spotify:
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