this post was submitted on 24 Jun 2025
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That's funny and all but if it happened 1 in 12 the chances that it's very common are orders of magnitudes higher than it being super rare DUH
It's a very non-representative, very small sample. The error bars in the statistical inference to the whole population includes both "very common" and "one-in-a-million".
What do the bar represent in 3d space?
What do they represent in 3d space?!? (aggressiveduck.jpg)
Gaussian distributions.
Not every error bar represents a Gaussian, if for no other reason that most error bars aren't symmetric.
The error bars for small sample size relative to population size are Gaussian.
Error due to a non-representative sample can have a variety of shapes, but their distribution might also be unknown. We do frequently, almost implicitly, assume unknown distributions to be Gaussian, but we should recognize that's not necessarily a true fact about the universe.