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more fair

Fair by what standard?  With low numbers you will have increments that switch things around.  You can't rate a game with fractions.

If those 12 ratings game had 4.350 raw, how does that work out?  Because that would be 52.2  stars, which is not possible. Also 4.323 * 13 is 56.2

Anyways that is around 50 stars, so one star  difference is about 0.02, and the difference between those numbers is 0.027.

I do not think, I understand those numbers. But I can tell you, that a missing rating should have an effect. Not calculating that effect would be unfair. But how to factor it  in is the big question.   Not rating a game, and more, not even playing a game is a kind of rating in it self. So having more ratings is a form of success that should be weighted.