But what is the Central Limit Theorem?

A visual introduction to probability’s most important theorem Help fund future projects: Special thanks to these lovely supporters: #thanks An equally valuable form of support is to simply share the videos. Galton board shown in the video: ----------------- 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“ ------------------ These animations are largely made using a custom python library, manim. See the FAQ comments here: #manim You can find code for specific videos and projects here: Music by Vincent Rubinetti. Download the music on Bandcamp: Stream the music on Spotify: ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: Various social media stuffs: Website: Twitter: Reddit: Instagram: Patreon: Facebook: