Uncertainty in addition and subtraction

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Jul 24, 2020, 6:28:07 PM

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Jun 7, 2016, 3:45:14 AM

e_{4} = \sqrt{e_{1}^{2} + e_{2}^{2} + e_{3}^{2}}

$e_4 = sqrt(e_1^2+e_2^2+e_3^2$

(e_{1}) Experimental Uncertainty 1

$(e_1)"Experimental Uncertainty 1"$

(e_{2}) Experimental Uncertainty 2

$(e_2)" Experimental Uncertainty 2"$

(e_{3}) Experimental Uncertainty 3

$(e_3) "Experimental Uncertainty 3"$

The uncertainty in addition and subtraction^[1] equation calculates the absolute uncertainty for measurements with absolute uncertainties that are being added or subtracted.

$e_{4} = \sqrt{e_{1}^{2} + e_{2}^{2} + e_{3}^{2}}$ $e_4 = sqrt(e_1^2 + e_2^2 + e_3^2)$

where

e₁ is experimental absolute uncertainty of one measurement in the (unit-less)
e₂ is experimental absolute uncertainty of another measurement (unit-less)
e₃ is experimental absolute uncertainty of a third measurement (unit-less)
e₄ is the absolute uncertainty of the combined absolute uncertainty measurement.

References

Harris, D., Quantitative Chemical Analysis, 9th Ed., W. H. Freeman, Pp.52 (2015).

[1] For the Spanish site click here.

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