I'd like to note however that random parses are little more than a very, very broad hint.
I personally don't upload any logs and when I look myself up on my "main" (if you can call it that), I can score anywhere between the 99th percentile (lol Void Ark) to the 17th percentile (Cruise Chaser Savage). Other parses are scattered seemingly at random between those extremes.
That's not useful at all, neither for self-improvement nor for simply gauging where I stand. In order to make the parses useful, you first need to create a controlled environment, because a lot of factors beyond skill go into the raw DPS number, especially gear and comp. Well, or you just look at potency per second or something, but I'm not sure if FFlogs has that function anywhere. I couldn't find it at least.