When summing only a small number of random variables (e.g., 2-3), the distribution of the sum strongly depends on the initial distribution and does not yet look like a bell curve.

factualpending

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Unidentified Speaker — But what is the Central Limit Theorem? [zeJD6dqJ5lo]

Evidence Quote

when the distribution on the bottom represents a relatively small sum, like adding together only three such random variables... the distribution on the bottom completely changes its shape. It's very dependent on what we started with

Source

But what is the Central Limit Theorem?3Blue1Brown
Created: 8/10/2026, 3:51:19 PM

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