The mean of a fair six-sided die is 3.5, calculated as the weighted sum of outcomes: (1/6)×1 + (1/6)×2 + ... + (1/6)×6 = 3.5.

factualpending

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

Evidence Quote

the mean of your initial distribution, which in this case will look like 1 6th times 1 plus 1 6th times 2 on and on and on, and works out to be 3.5

Source

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

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