Uncertainty and the mean and standard deviation

e2m2a
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I am an independent researcher ready to compile data from an experiment. I have a set of measurements that include the uncertainties of measurement. If I calculate the mean for the set (and thus the standard deviation) do I need to include the uncertainties when doing this calculation?
 
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No, you do not want to include the measurement errors, as long as these are random errors.
 
EnumaElish said:
No, you do not want to include the measurement errors, as long as these are random errors.

Why not?
 

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