Uploaded April 2026 | Updated September 2026, 2 weeks ago

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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.

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To learn more, check out one of these free textbooks:
openstax.org/details/books/introductory-statistics-2e
openintro.org/book/ims
openintro.org/book/os

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youtube.com/playlist?list=PLZh9gzIvXQUsNIO0jVHE6kTkH0Q6IFJ1R&si=Z_99vKOF1GeND5sS

#statistics #centrallimittheorem #limittheorem #normaldistribution #normalcurve #theorem #math #manim #distributions #normalcurve #animation #randomization #simulation

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