Being a female INTJ, I have always been confused about the need for girlfriends to go to the bathroom in pairs.
My boyfriend said a girl is "trying to bond with me" if she asks me to go to the bathroom with her. That is honestly the first time I have even began to understand this seemingly ridiculous practice. It also drives me NUTS when women get in cliquey groups and discuss other people- especially other women. Gosh it is so mean! I am sure I appear arrogant and distant at times like that and would much rather stand off to the side BY MYSELF than to listen or engage in that garbage.
I'm not sure if that entire paragraph had anything to do with being an INTJ and I'm not sure that entire paragraph had much to do with women in general but I think that INTJ's are more rare among women and I promise you that I just don't understand women much on a social basis.
Now men I seem to understand better and I think that has to do with personality typing more than the actual sex of a person. Men tend to be T's and women tend to be F's. Women see to be more extroverted than men also but I don't know if that is really true.