I did a little test with something i found on the web using bayesian averaging:
WR = (v/v+m)*R + (m/v+m)*C
WR = weighted average
v = number of votes
m = minimum number of votes required
R = average for this production
C = average of all productions (who have at least minimum number of votes)
You can see the result
here. It's still the same chart but the weighted average is mentioned at the right side of the normal average (which still determines the chart position).
The problem with such a system is that C is a variable which depends on the votes. So whenever a vote is added or changed, each and every weighted average has to be recalculated.
It was a fast hack so i hope i didn't mess up. In any case, it was just of curiosity and not meant as a permanent thingie.