I think my inquiry is mostly geared at statistics, but physics is involved, too.
In measuring the e/m ratio for an electron, the experimental average e/m value of the data points is 2.055*10^11 C/kg.
The standard deviation for the data points is 2.003*10^10 C/kg using sqrt[(1/n)*sigma(x – mean)^2].
The theoretical e/m ratio value is 1.759*10^11 C/kg.
In taking the difference between the experimental value and the theoretical value, it is
|2.055*10^11 C/kg - 1.759*10^11 C/kg| = 2.960*10^10 C/kg.
Are the standard deviation and the difference between the theoretical/experimental values supposed to be the same?
If they do not match each other (2.003*10^10 C/kg and 2.960*10^10 C/kg), is it because the standard deviation focuses on the difference in relation to the mean while 2.960*10^10 C/kg actually reflects a comparison with the true e/m value? I'm confused at what these two values reveal about the error in the experiment.
The Attempt at a Solution