But What Is the Central Limit Theorem?

Explore a visual introduction to the Central Limit Theorem in this 31-minute video. Delve into probability's most important theorem through engaging animations and clear explanations. Begin with a simplified Galton Board demonstration, then progress through dice simulations, true distributions for sums, and key statistical concepts like mean, variance, and standard deviation. Unpack the Gaussian formula, examine its elegant formulation, and apply the theorem to concrete examples. Conclude by investigating sample means and underlying assumptions, gaining a comprehensive understanding of this fundamental statistical principle.

- Introduction
- A simplified Galton Board
- The general idea
- Dice simulations
- The true distributions for sums
- Mean, variance, and standard deviation
- Unpacking the Gaussian formula
- The more elegant formulation
- A concrete example
- Sample means
- Underlying assumptions