Central Limit Theorem Visualization

In this video, we show several sample distributions pulling from a uniform distribution. We see that as our sample size increases, the sample distribution of means approaches a normal distribution. In particular, we show samples of size 1, which don't match the normal curve, followed by samples of size 10, which yield a somewhat normal curve of sample means, and then samples of size 30, which is a quite tight normal curve. If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! To learn more, check out one of these free textbooks: https://openstax.org/details/books/introductory-statistics-2e https://www.openintro.org/book/ims/ https://www.openintro.org/book/os/ Check out other Synthwave and Math Videos: https://youtube.com/playlist?list=PLZh9gzIvXQUsNIO0jVHE6kTkH0Q6IFJ1R&si=Z_99vKOF1GeND5sS #statistics #centrallimittheorem #limittheorem #normaldistribution #normalcurve #theorem #math #manim #distributions #normalcurve #animation #randomization #simulation To learn more about animating with manim, check out: https://manim.community ___________________________________ Music in this video: Escape by Aries Beats | https://soundcloud.com/aries4rce Royalty Free Music by https://www.free-stock-music.com Creative Commons / Attribution-ShareAlike 3.0 Unported (CC BY-SA 3.0) https://creativecommons.org/licenses/by-sa/3.0/deed.en_US