Is My Calculation of Uncertainty in Measurements Correct?

AI Thread Summary
The discussion focuses on the correct calculation of uncertainties when adding measurements. The user questions whether the sum of (22.4 mL ± 0.01 mL) and (21.3 mL ± 0.01 mL) results in 43.7 mL ± 0.02 mL or ± 0.01 mL. The consensus suggests that the correct uncertainty should indeed be ± 0.02 mL, as it accounts for the propagation of uncertainties. Additionally, a more accurate method for calculating uncertainties is mentioned, which involves the sum in quadrature of individual uncertainties. Understanding these principles is crucial for precise measurements in scientific contexts.
Stevedye56
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Hi,

I just had a quick question in regards to the addition/subtraction of quantaties and their uncertainties.

Am i correct in saying (22.4mL plusminus .01mL) + (21.3mL plusminus .01mL)=43.7 plusminus .02mL?

or is it plusminus .01mL ?

Im pretty sure my first answer is correct just looking for a posative verification, thanks for looking.
 
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Is one familiar with the propagation of uncertainties?

See - http://www.umd.umich.edu/casl/natsci/slc/slconline/UNC1/index.html
for examples.

A statistically more accurate method for uncertainties is the sum in quadrature of the uncertaintieso f individual variables.

http://www.physics.pomona.edu/sixideas/labs/LRM/LR09.pdf
 
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thanks for the help
 
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