# Statistics and clarification of Central Limit Theorm

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] – yiyi Oct 29 '12 at 22:59

If $n$ is large, margin of error should be small that is all I can tell you. I am still confused. – glebovg Oct 29 '12 at 23:57