A total of 1,653 means your pal was rolling an average of 5.51 with each roll – and according to the Central Limit Theorem, that’s almost entirely impossible. You should call bullshit.

Let X1, X2, ⋯, Xn be a sequence of independent random variables (r.v.'s) with zero mean and finite standard deviation σi, 1 ≤ i ≤ n. According to the central limit theorem, the normed sum Yn = (1/sn) ...

CreatureCast - Central Limit Theorem from Casey Dunn on Vimeo. The normal distribution, a bell-shaped statistical curve with a concentration about the mean, is a common phenomenon when looking at ...

Central Limit Theorem (CLT): A fundamental theorem stating that the sum of a large number of independent random variables, under certain conditions, converges to a normal distribution.