this post was submitted on 21 Sep 2023
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[–] [email protected] 18 points 1 year ago (2 children)

Technically, if everyone gets the full mark, no one will be in the bottom quartile.

[–] [email protected] 30 points 1 year ago

Also, everyone would be in the bottom quartile. The definitions fall apart when you collapse the probability function.

[–] [email protected] 14 points 1 year ago

I’m overthinking this.

If everyone gets the full mark, it’s not a random variable anymore, you would have a collapse of the probability distribution, that would tend to a Dirac delta function. In this case, the very definition of “quartiles” would fail. So, yeah, there would be no one there because it wouldn’t exist.