The study found that the traits can even predict which professions people choose, with those working in science, technology engineering and mathematics (Stem)scoring more highly in "systemising" or masculine traits, while those in non-stem jobs more likely to have "empathetic" or feminine traits.
Dr Varun Warrier, from the Cambridge team, said: "These sex differences in the typical population are very clear. We confirmed that typical females on average are more empathetic, typical males on average are more systems-oriented. We know from related studies that individual differences in empathy and systemising are partly genetic, partly influenced by our prenatal hormonal exposure, and partly due to environmental experience."
For the study, men and women were asked to respond to 20 statements measuring their level of empathy and systems-oriented thinking.
Sentences included "I am interested in knowing the path a river takes from its source to the sea" and "I can easily work out what another person might want to talk about".
On average men scored 9.87 out of 20 for empathy while women scored 10.79. For systems-based thinking, men scored 6.73 while women scored 5.45.
The research, published in the Proceedings of the National Academy of Sciences, also showed that people with autism are more likely to display "masculinised" traits, a phenomenon dubbed "the Extreme Male Brain Theory".
This was first proposed by Professor Simon Baron-Cohen, director of the Autism Research Centre at Cambridge, nearly two decades ago but in the past has been branded as "neurosexism" by critics.
The researchers said the huge study backed his claim that there really are fundamental differences between the minds of men and women, although individuals can still be "atypical".