Your average across all of the turn-based games you've ever played.
You can reduce this by logging in more often, making more moves per session, or better synchronisation with your opponents: you need to find opponents who make their moves shortly before you login - not shortly after you logout.
For Quick tournaments it says that there is a 3 hour max average per move. Over how many games? I did not realize that was an issue, now it is difficult to get that average down.