When interpreting distributions graphically, higher values in the initial distribution become more probable in the sum distribution, because the weighted sum in the convolution operation emphasizes those values.

causalpending

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

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If higher values are more probable, that weighted sum is going to be bigger. If lower values are more probable, that weighted sum is going to be smaller

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

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