Part of that stereotype I believe, comes from the concept that people who play video games ONLY play video games and do little else, which would probably lead to someone being overweight and/or lazy. Yet, as others have said, stereotypes are never completely correct because they are assumptions made on shallow aspects of people, never taking into account the complete person. Most people here treat the games as a hobby, some more than others, but so long as you also lead an active life, it's perfectly fine in my opinion.

Take care all.