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That’s exactly the right take and the article proves it:

Statisticians love averages so everywhere that could be sampled as a normal distribution will be presented as one

The median is actually more descriptive and power law is equally as pervasive if not more

combining repeated samples of any distribution* (any population density fuction including power law distributions) will converge to the normal distribution, that's why it appears everywhere.

* excluding bizarre degenerates like constants or impulse functions

No, that's not correct. Sums of power law distributions can converge to power low tailed distributions, not normal distributions.

No use arguing with them they don’t have enough mathematical understanding to understand what they’re saying

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