"Not all chess players are equal in skill, so for that we have an ELO rating."
Correct, but I would advise people to play the best moves no matter if it is against a low rated or high rated player. Just play the best you can, always. Unless it's a blitz game.
"statistically women have lower ELO ratings than men, so my estimale is logical."
They do as a group, but not as individuals. If you would play 100.000 women vs 100.000 men I would agree.
"If you knew that, for example, people from another city are generally 50 ELO points lower than the people in your city, and a random person from your city plays chess against a random person from the other city, who do you think will win?"
Depends on who of the city plays against who of the other city, of course. I can only estimate the outcome of the city playing against the other city like a club vs. another club, but I can't pick ppl at random and say that they will win bcs they are of a better city.
That's like saying a black men would fail at a chess game against a white one, because more white people learned chess well - and that's nothing but racist, because one individual is more than just a part of a group AKA a person is part of MANY groups. Only one of them is the gender. There are much more important ones. If you consider many factors you can still be wrong, but okay. But only taking gender or race or the origin of someone is not sufficient.
Imagine you randomly picked two and the women has 2500 elo and the men 1900. So who will win?
"Not all chess players are equal in skill, so for that we have an ELO rating."
Correct, but I would advise people to play the best moves no matter if it is against a low rated or high rated player. Just play the best you can, always. Unless it's a blitz game.
"statistically women have lower ELO ratings than men, so my estimale is logical."
They do as a group, but not as individuals. If you would play 100.000 women vs 100.000 men I would agree.
"If you knew that, for example, people from another city are generally 50 ELO points lower than the people in your city, and a random person from your city plays chess against a random person from the other city, who do you think will win?"
Depends on who of the city plays against who of the other city, of course. I can only estimate the outcome of the city playing against the other city like a club vs. another club, but I can't pick ppl at random and say that they will win bcs they are of a better city.
That's like saying a black men would fail at a chess game against a white one, because more white people learned chess well - and that's nothing but racist, because one individual is more than just a part of a group AKA a person is part of MANY groups. Only one of them is the gender. There are much more important ones. If you consider many factors you can still be wrong, but okay. But only taking gender or race or the origin of someone is not sufficient.
Imagine you randomly picked two and the women has 2500 elo and the men 1900. So who will win?