Come now, you know how normal distributions work. Small differences in means cause over-representation at the extreme ends of the scale. From your IQ I can predict a ~30-40% chance of you being Ashkenazi, despite them being a global minority, just because of a "slightly" higher mean of 110. This is an important thing.

I think we have to be careful with our mathematics here.

By definition IQ is distributed normally. But if we use this definition of IQ then we don't know how IQ is distributed within each population. In particular even if we assume each population is normal, we don't know they all have the same variance. So I think there's little we can say without looking at the data themselves (which I haven't done).

In this instance it might be better to try to measure intelligence on an absolute scale, and do your comparisons with that scale. I don't know how well that would go.

(I'm using the anonymous account (Username and password are "Username" and "password") since I just want to make a statistical point and not associate myself with scientific racism.)