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I have a list of values each with a corresponding error. I can determine the average/mean of the list, but I'm not sure how to best calculate the error over the entire population.

e.g.

107 +/- 0.2 120 +/- 0.1 184 +/- 0.4 44  +/- 0.3 

Average is simply 113.75, but what is the error?

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    I've clarified by question a little by removing "average error" as I don't think that's what I'm after exactly. What I need to work out is the error of the whole dataset when averaged.2012-05-20

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