- cross-posted to:
- technicallythetruth@lemmy.world
- cross-posted to:
- technicallythetruth@lemmy.world
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About 50% of people are below average
This cracks me up because it is often said with such confidence, but it is just wrong.
If you have 10 people, 8 have an intelligence score of 1, 1 has a score of 5 and 1 has a score of 10. The average is 2.3 which means that 80% of the people are below average.
The median is the only thing that is going to guarantee 50%.
Yes, that statement is made under the assumption of large sample sizes (where the central limit theorem applies)
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.
Well it can be a RV. Just one that is uniformly distributed over the set {x}, where x is the full mark score. Or however you want to put it.
It is a rather useless and uninteresting RV but nontheless is is one…
