Q:

What logical fallacy considers a personal experience to be common place

While my wife and I were discussing the news a few days ago I stated  that an argument expressed (in a news article, not by my wife) was a fallacy -- but I've been unable to put a name to it. 
Basically, it is when a person experiences some experience (personally or thru acquaintance), and thus considers it a common experience because they have experienced it. 

A:

This is a "Hasty Generalization" which is drawing too broad a conclusion from too limited a dataset.   It often results from taking personal anecdotal evidence as decisive.   
It's a very common fallacy, because we all tend to do it unless specifically on guard against it (or is that statement itself a hasty generalization?).