The X axis appears to be an ordinal number, some kind of proprietary rank. How much sense does it make to talk about the shape of a distribution over ordinal numbers? If we converted those to cardinals, the shape of the new, reality-based distribution could be pretty much anything.
This report is nicer than many others I found in that scores are reported all the way down to 0, rather than cutting off at the threshold for university admission. It's much less nice than some in that, below the university admission threshold, scores are reported in brackets of 10 points rather than by individual score. (This, even though the document is called "一分一段表"...)
Anyway, I imported this data into python and plotted it with matplotlib. The histogram you get from this is obviously, wildly flawed -- the ten-points-wide bar from 410 to 419 is also 710 people tall, dwarfing the actual mode of the distribution. To correct this problem, you need to divide the count for bracketed scores by 10 (the width of the bracket) -- the 710 people scoring 410-419 are 71 per score in that range, very comparable to the 70 people scoring 420, but not to the 182 people scoring 548.
Without knowing the width of the rocket league rank brackets, that picture of the population of each rank doesn't tell us anything -- at all -- about the shape of the distribution.
Maybe someone who plays the game could clear it up. I did some searching, and it appears as though the ordinal ranks on the x axis are just buckets of players in ranges of 25 points in each bucket. The underlying rating system for these rating points is apparently something like Elo or Glicko, but I couldn't find a source that explicitly says what.
looks gamma, but just like... slightly gamma. i guess my contention would be that it "probably" should be smushed/redistributed with even more mass on the right tail, but i couldn't tell you from personal experience whether that's true, as i'm pretty terrible at rocket league. i will say that the top Rocket League players (to my untrained eye, and jaw on the absolute floor) may have an even higher z-score than top players than any other game(s)... but rocket league is kind of unique in it's being a remake of a game that i guess a lot of (the same) people used to play.
https://2p1ipt36o1g23g1tt6ba5nou-wpengine.netdna-ssl.com/wp-...