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If I have 1,000 participants ranking on a scale of 1 to 10 regarding some object how do I interpret the confidence level and margin of error of the resulting rank? I am used to of seeing 99% confidence level and 4% margin of error type notations so how do these numbers play into my sample case? And how does the resulting rank fit with the large n and Central Limit Theorem?

I am weighting each rank against the percentage of total participants to get a final result.

And could you also explain what a response distribution is related to this scenario and why it is best to assume 50%?

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    from wikipedia: >central limit theorem (CLT) states that, given certain conditions, the mean of a sufficiently large number of independent random variables, each with finite mean and variance, will be approximately normally distributed.[1]2012-10-29

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Your question is a little vague, but essentially standard error, standard divination, etc. become negligible when the sample size is sufficiently large. The standard error is equal to the standard deviation divided by the square root of the sample size, which is a result from CLT.

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    @glebovg at least we know the answer is 42. hehe2012-10-30