this post was submitted on 21 Sep 2023
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Technically, if everyone gets the full mark, no one will be in the bottom quartile.
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.