Well its not a Stereotype its a statistical fact.

Of course the reality of that statement is that those women that play Facebook games just dont play "Games" at all. They play facebook games because they got boring jobs (like a lot of people do) and need soemthing to distract themselves with in the office

Anecodtal evidence is anecdotal.
A lot of my friends like dungeons and dragons, whey protein and jojos bizarre adventure

I dont think thats because these things are popular, i think i surround myself with people who like the same things as i do