I have an API connection to stack exchange (and implicitly the Mathematica stack exchange) which I use in day-to-day Mathematica usage, but which I've recently been using for things like calculating the average user reputation (500 for users with >100 reputation, 176 for absolutely everyone, for those who were wondering) and other fun stuff like that.
I was wondering if there's an official collection of stats like that so I can check mine against those to see what sorts of things my API connection misses. Is there such a collection?
This is admittedly off topic, but interesting:
Here's the distribution of user reputation as of 1/6/2017 (with 101 mapped to 1 because the vast majority of people with reputation 101 have it due to the association bonus (trust me, I plotted it out and there's a huge plateau at exactly 101)):
And here's the same thing log-plotted so Szabolcs and Mr.Wizard skew the distribution a tiny bit less:
And here's the PDF plot of the estimated `WeibullDistribution of user reputations (chosen only because the docs had a picture that looked kinda how I expected the distribution to look):
To quote march in the comments: "that's what we call a skewed distribution!"
I compressed all the user data (It's missing the last 325 users, but they all have rep 1 and so don't affect the statistics too much) and have dumped it here. If that file ever goes down just shoot me a message and I'll re-upload it.