If you are talking about IQ the data would support you, the problem comes when you look at standard deviation and we see men have a slightly higher standard deviation which leads to the extremes on both sides being overwhelmingly male. It's not something we need to worry about much in day to day interactions because you wont notice it but in hyper selective environments it might become an something people notice.
How do we now this isn't something that is being caused due to the female being suppressed in our history? This studies are biased due to the fact that females haven't been treated equally for centuries and this affects on how the female see the world, affecting the real purpose of the study.
It's like taking a male that you have treated emotionally bad and you tell him thru all his life he can't do this and that and a male where you tell him he must be strong, he must do this and that. Boths are males and I bet you will find the same differences between these two males and between a male and a female.