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Introductory Physics Homework Help
How do you find the uncertainty of an average?
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[QUOTE="haruspex, post: 5994706, member: 334404"] That is clearly wrong since it would say the more measurements you take the less accurate your result. If you have a number of readings of the same quantity but with different uncertainties on each, the ideal is to use a weighted average to find the mean. The more precise values need to be given greater weight. The weighting is 1/σ[SUB]i[/SUB][SUP]2[/SUP]. In this case you should get 15.50 rather than 15.38. The uncertainty in that average goes like σ[SUP]-2[/SUP]=Σσ[SUB]i[/SUB][SUP]-2[/SUP]. For that I get σ=0.20. [/QUOTE]
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Introductory Physics Homework Help
How do you find the uncertainty of an average?
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