I believe the gap is more cultural-made than sex-made. Basically there are the same differences of capabilities between two random males and between a random male and a random female.
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.