Women on average are more socially aware and exhibit higher emotional intelligence than women. There is scientific research to suggest this, and for me anecdotally it also rings true (as a man, but again key word = on average).

Do you find this statement offensive? Should I not say this because it might hurt men's feelings?

Or is it only wrong to say something negative about a race/gender if it implies something negative about certain underrepresented genders and races?