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Guide to Uncertainty Propagation and Error Analysis

Guide to Uncertainty Propagation and ErrorAnalysisStony Brook Introductory Physics Organization of This Guide ..21 Random vs. Systemic Error .. Quantifying Error : Absolute vs. Relative Error .. Comparing Quantities with Uncertainties ..52 Random Basic Uncertainties .. Uncertainty Propagation Formulas .. Where do those formulas come from? .. Uncertainty Propagation Examples .. Example .. Example .. Example .. 153 Systemic Isolating Systemic Errors .. Determining the Effects of Systemic Errors .. 164 Other Things that are NOT errors.

a theoretical value of 4:8cm, that’s easy to tell; if I ask whether 5cm with a relative uncertainty of 0:2 agrees with the same theoretical value, that’s not nearly as obvious. As such, when you state a quantity in your lab report, it should typically be written X ˙ X - that is to say, you talk about uncertainties with the absolute

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