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Are you referring to the standard deviation of the instrument after calibrating your instrument? Does your county or state have a calibration range where you can calibrate your instrument. From there you will then be able to obtain the true correction and the standard deviation of your instrument.
interesting conversation i ran across here: http://forum.derletztekick.com/index.php?mode=thread&id=956
Arnel,
if i understand the question correctly, you are wanting to compute the standard deviation of your angles and or distances collected from your total station to input into your least squares?
is this correct?
here is some info i found where it is being done with a total station
http://www.fig.net/pub/proceedings/korea/full-papers/pdf/session17/...
how about using the standard deviation on your calculator, input your set of angles and or distances and hit solve
http://h20331.www2.hp.com/Hpsub/downloads/35_11_Mean_and_deviation.pdf