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Is that true? I've never thought about how it works for Olympics. But it's completely self reported? If that's true it does seem open to abuse.
This isn't a complicated case. She was born a female with female genitalia and has a passport issued as female and self reports as female. She is not transgender. What else is needed but to test for doping? Half of all women have higher than average testosterone levels, that is how averages work. Many top athletes are anomalies of some sort.
The IOC did create a framework for transgender athletes but that doesn't apply to her. The fascists are just trying to smear her and paint her as a cheater and "other" like fascists do.
I agree with your point and with what you said, but I want to clarify something:
That's not how averages work. That's how median works. For example:
-Person A: 4 units testosterone
-Person B: 4 units testosterone
-Person C: 7 units testosterone
Mean: (4+4+7)/3= 5 units
Median: 4 units
So 2 people would be under the average because one person shoots the average up.
The word average is often used to mean mean, however it can be used less specifically - median is a type of average as well.
From Merriam-Webster definition of average:
1a) a single value (such as a mean, mode, or median) that summarizes or represents the general significance of a set of unequal values
Also, things like testosterone levels in a population usually follow a normal distribution, where both mean and median are the same, so the distinction is often meaningless for practical purposes
Still, that's not how the mean or the mode work. And one could argue a group of Olympic athletes is not a big enough population to assume a normal distribution. But yeah, you're also right.