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army1987 comments on Less Wrong Polls in Comments - Less Wrong
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You don't need to use infinities to make the mean meaningless: giving answers such as 1e100 will suffice. On the other hand, NANs are traditionally just disregarded when computing means (i.e., the mean of 1, 2, 3 and NAN is taken to be 2) -- essentially they would amount to a blank vote.