I think both are capable of high intelligence and amazing amounts of ignorance.
That being said, I think men and women have a different kinds of intelligence as per majority patterns. Women tend to be more emotionally and creatively intelligent whereas men tend to be better problem solvers and inventors. Whether we like it or not, female humans are hardwired to be gatherers and male humans are hardwired to be hunters. Everything comes from the basis of that. Not in ALL cases, but in most. This is why men tend to be better leaders and women tend to be better team builders and followers. Both are equally important.