For a fair die rolled 100 times, the sum of results has mean = 350 (100 × 3.5) and standard deviation ≈ 17.1 (10 × 1.71), allowing prediction that with 95% confidence the sum falls between approximately 316 and 384.

factualpending

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

Evidence Quote

Its mean will be 100 times mu, which is 350, and its standard deviation will be the square root of 100 times sigma, so 10 times sigma, 17.1... values two standard deviations away from the mean... about 316... and 384

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

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