Error Calculation in Large Set of Data

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Master J
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I perform a set of measurements x. This is performed for different values of y, ie. each value of y has a set of x values. Each measurement has an error associated with it.

There is also the value Dx, which is the difference in 2 x values. This has an error of twice the error of x.

I then need to plot the average value of x.Dx for each y value, against that y value.

My question is, how do I work out the error in this x.Dx that is to be plotted??
 
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Sorry, perhaps its confusing. I am plotting that average, but the errors would be for the error bars!