Those stereotypes are more or less true. “Women are more emotional than men” is a polite way of saying women are less able than men to master their emotions. In any given situation, men are just as likely as women to feel a particular feeling – anger, sadness, embarrassment, etc. – there really is not any difference between men and women’s capacity for emotion, but men are able to control those feelings and not allow feelings to dictate actions to a much greater degree. This is why you will often find women crying at work, but not men.