real world problem with 'average'
i have a real world maths problem to do with a voting system and the 'average'.
i have an online voting competition in our company for a childrens xmas art. there is a star rating (scale between 1-5) and you can vote on any or all pictures. both the 'average' of the star no. and the number of people who have voted is shown beside each picture.
i now see that some pictures have say 30 people voting on them while others mught have 4 people. however the more popular picture could have a lower average than the less popular one but the popular one may have received more '5' star votes. i was going to pick the winner based on the highest average.
is there some formula that would make this fairer i.e. using the no. of votes and the average.
thanks for any help...