But "what you saw" isn't necessarily representative of the state of things, either. Arlington, VA is (was?) one of the nicer places in VA; generally expensive, etc. When I drove through there, the van in front of me at a light was car-jacked, and the person in it chased down. I'm uncomfortable driving through Arlington because of that; even though it's not representative of the area. Admittedly, this was years ago... but the point stands. My experience is not representative of the actual facts.
Stats are also "not necessarily representative of the state of things". At the very best they are a single factoid about a very complex human existence.
Stats only get worse from there: at neutral they contain no information, at worst they are dis-info.