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bayesian number = ((average_number_of_votes * average_weighting) + (system_number_of_votes * system_avg_weighting)) / (average_number_of_votes + system_number_of_votes) wii_number_of_votes = 268 xbox_number_of_votes = 221 ps3_number_of_votes = 165 average_votes = (268+221+165)/3 = 218 wii_avg = 5.8 xbox_avg = 6.6 ps3_avg = 7.1 average_weighting = (5.8*268 + 6.6*221 + 7.1*165)/(268+221+165) = 6.39 wii_bayesian = ((218*6.39)+(268*5.8)) / (218+268) = 6.06 xbox_bayesian = ((218*6.39)+(221*6.6)) / (218+221) = 6.49 ps3_bayesian = ((218*6.39) + (165*7.1)) / (218+165) = 6.69
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