Suppose you hold a nation wide high school basketball contest. Every school's boy team plays their own girl's team. What winning percentage, if any, would you accept as evidence that boys tend to be better at basketball?
That's cool. Ignore the fact that a city, not even state, all star team beat supposedly the best of the best women in soccer.
So gun to head, single football game, where the team of my choice plays the team you pick from the 2011 Patriots and the 2011 Giants, you'd take the Giants, because they won that one time?
Suppose we held a nation wide high school basketball game, where every high school team played some random group of people in America. What winning percentage would you accept as evidence that high school ballers are better at basketball than everyone else in America?
Well if you take the tallest women in the world and compare their average height to the average of all males, I'm betting the women come out on top. Therefore tall women are taller than average men.
There are, give or take, 7 billion people in the world. Assuming a 50/50 split (it's not), if you somehow took the men, ranked them 1 to 3.5 billion, then do the same as women, and had them compete in a athletic contest where 1 played 1, two played 2, and so forth, my guess is the men would win 90% or greater, and probably closer to 100% than 90.
I'll take that bet, we're going to do the high dive. Splash matters, so be sure to take into account height and weight. Don't like that athletic event, ok, jockeying then. Barrel racing? See how easy it is to get caught in a net, when using stupid generalities, like "athletic contest."
I'm trying to think of Olympic events, how that fits into this discussion. The issue is that some of those events are judged rather than directly competitive, which adds a level of subjectivity. But thinking of gymnastics, it seems like sex is used to define the two different events-- and yet they obviously don't have to be. There isn't an aspect of men's or women's gymnastics that the other couldn't do.