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PO
 

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    <p>Given a uniform (even) distribution of votes across {1,2,3,4,5}, the expected rating of your film is 0.2. This is because the the votes {1 and 5} cancel eachother out, as do {2 and 4}. But the vote 3 has an expected value of 1/5 = 0.2. So if people give a rating of {1,2,3,4,5} with equal probability, then you would expect a film (no matter how many people see it) to have an average rating close to 0.2.</p> <p>So I think the best option for you would be to add up all the scores received and simply divide by the number of people who have seen each film. This should be a good guess at people's sentiment toward the film as the average of the distribution should not get larger simply because more people see the film.</p> <p>If I were you, I would also suggest adding a small penalty term to your final result, to take into account the fact that some people didn't even want to go see the movie. If lots of people didn't want to see the movie in the first place, but the 5 or so people that saw it gave it a 5* rating, that doesn't make it a good movie, does it?</p> <p>So a final solution I would recommend: Add up all the points as you have described, and divide by the total number of people who have gone to the cinema. While not perfect (whatever perfect means), it should give you some indication of what people like and don't like. This essentially means people who chose not to see a movie are adding zero to the points total, but still affect the average because the end result is divided by a larger number.</p>
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    1. POAdjusting votes based on different numbers of voters
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    1. COyou can't just cancel out parts of an average like that, the expected average is 3
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    2. COThat would be true if there was an even distribution of votes, but in most cases the distribution will be uneven, and trend toward more people loving or hating the film.
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    3. COyep, for even distribution, but there is no distribution which will give you an average of 0.2
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