Derek's Experimental Web Journal
     
  This isn't really an academic blog at all. It just basically records the life and times of Derek J Corbett as he undertakes his PhD.
     
  Tue, 11 Jul 2006
 
 
16:27 - Standard Deviation Addition

When you want to add or subtract average values reported with their standard deviations, you don't simply add the standard deviations to produce the final standarddeviation. Instead, you square the standard deviations, add them, then take the square root of the sum.

Stot = sqrt(S12 + S22 + ...)
Note that you will add the squares of the errors even if you are subtracting the actual values.

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