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## Main Question or Discussion Point

Hi,

say I measure something ten times and get x+d1x, x+dx2, ... where dx1, dx2.. are the measurement errors.

Now, say I want to calculate something from these measurements according to:

A = B(C(x)),

Where A is what I want, and B and C are known functions.

Which is statistically the most "sound" way of calculating it?

take the average of the errors, then find B(C(avg))?

take C(x) then take the average and then find B(avg)?

take A(B(x)) of each measurement, then average the result?

Thanks

say I measure something ten times and get x+d1x, x+dx2, ... where dx1, dx2.. are the measurement errors.

Now, say I want to calculate something from these measurements according to:

A = B(C(x)),

Where A is what I want, and B and C are known functions.

Which is statistically the most "sound" way of calculating it?

take the average of the errors, then find B(C(avg))?

take C(x) then take the average and then find B(avg)?

take A(B(x)) of each measurement, then average the result?

Thanks