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I have some data analysis that I need to do, but I am not sure how to go about using relative error, or if I should even use it at all.

I have an experimental result with uncertainties calculated, and I wanted to do some analysis of the accuracy using relative error.

Would I just calculate this error on the main result I got, or would it be more useful to do a range, based on the upper and lower bounds from the uncertainty?

Edit: some more context:

I carried out an experiment to measure the speed of light, and am now doing analysis.

The value I measured was 2.97 * 10^8 +- 2.67 * 10^6.

I want to compare the accuracy to the accepted value of c, hence I was looking at relative errors, but as stated above i don’t know if it’s more useful to calculate t using my value, or a range including the calculated uncertainties

Thank you for any help,

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  • $\begingroup$ Welcome to MSE! It would be easier to help you if you included more context for your data and some excerpt from it in the question. A range approach is pretty much identical to using absolute uncertainties (if you are referring to $[x-\Delta x, x+\Delta x]$.). $\endgroup$ Commented Oct 6 at 10:12

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