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I am trying to find a good algorithm that would serve as an authoritative way to assess pictures provided for a photo contest. There is a bunch of photos that came for the contest. Each person from a group of people gets all of the photos to mark from 1 to 5, but they don't have to mark all of the photos, only the ones they want to. After we have all the results, we would like to tell which of the photos won. The intuitive average won't work that well: imagine a photo that got 100 times a 5 and once a 4 and a photo that got only one 5. The latter would have bigger average though you might think that the first photo got bigger interest and in the end it was marked with 5 by the whole 100 of people. Sum won't work also, as 3 and 3 would value more that 5. What measure could I use to rate the photos in an authoritative way so that we could tell which photo has won?

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