Also I believe my eyes and when I see crimes happening in my neighborhood I don't rush to "the stats" to ask them what I saw.
Stats only get worse from there: at neutral they contain no information, at worst they are dis-info.
How else do you condense down myriad and often conflicting datapoints of this complex human existence in order to get trends you can make decisions on?
Longer answer: this is a fundamental problem across many domains. I don't think anyone has solved it.
I think of a story of Bezos being told by his Amazon execs that customer support wait times were meeting X service levels. In the meeting room with his execs, Bezos dials up customer service, gets some wait time of >>>X and makes the point that service levels are not up to his expectations.
I don't think that story is a great analogy for running society but is interesting nonetheless.