I always assume that initially there are q voters who gave the average rating. This yields the following formula: (pn) / (n+q) This is simpler and gives simil

I always assume that initially there are q voters who gave the average rating. This yields the following formula: (pn) / (n+q) This is simpler and gives similar results: http://www.wolframalpha.com/input/?i=plot+%28p+%2B+z^2%2F2n+-+z*sqrt%28+%28p*%281-p%29+%2B+z^2%2F4n%29+%2F+n+%29%29+%2F+%281+%2B+z^2%2Fn%29+where+z+%3D+1.96%2C+p+%3D+0.8%2C+n%3D0+to+50 http://www.wolframalpha.com/input/?i=plot+%28p+%2B+z^2%2F2n+... http://www.wolframalpha.com/input/?i=plot+%280.8+*+n%29+%2F+%28n+%2B+10%29+from+n%3D0+to+50 http://www.wolframalpha.com/input/?i=plot+%280.8+*+n%29+%2F+...