It's normed to the population.
Discussion
Yes, that was in the OP. But the normalization is for the entire distribution, that doesn't mean average == median, iiuc, but I might be missing something.
It's not really a true quotient, anymore, but it has a similar effect.
Human traits like height, beauty, intelligence, etc. tend to follow a normal distribution within a large population. We can generally expect the average and the median to be the same.
The median woman will tend to be average height, weight, looks, smarts, number of sexual partners, blood pressure rate, etc.
Also, central limit theorem applies.