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I'm trying to write a lab report.
I've taken some measurements several times and have calculated the results and the systematic uncertainty for each set of measurements. i.e. I have x_{i} s, which are the results, and I have \Delta x_{i} s, which are the systematic uncertainties, calculated using uncertainty propagation formulas and the systematic uncertainties of the measurements.
I need to take the average of x_{i} s. How do I calculate the error for that?
I can think of two methods. I don't know which is correct.
Method 1: Calculate it using uncertainty propagation formulas and \Delta x_{i} s.
Method 2: Use the standard deviation of the x_{i} s as the uncertainty.
Which is correct?
I've taken some measurements several times and have calculated the results and the systematic uncertainty for each set of measurements. i.e. I have x_{i} s, which are the results, and I have \Delta x_{i} s, which are the systematic uncertainties, calculated using uncertainty propagation formulas and the systematic uncertainties of the measurements.
I need to take the average of x_{i} s. How do I calculate the error for that?
I can think of two methods. I don't know which is correct.
Method 1: Calculate it using uncertainty propagation formulas and \Delta x_{i} s.
Method 2: Use the standard deviation of the x_{i} s as the uncertainty.
Which is correct?