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Relative Uncertainty (Relative Error). Relative uncertainty is the ratio of the absolute uncertainty of a measurement to the best estimate. It expresses the relative size of the uncertainty of a measurement (its precision).Symbolically, if is the absolute uncertainty in a measurement. , then the relative uncertainty in x, s x, is:n uncertainty interval (or error interval) is the   part of a measurement. It is used, along with significant digits, to indicate the precision of a measurement. Thus, in the two-significant-digit measurement 5.4 0.2 meters, the uncertainty interval is 0.2 meters.
Expanded uncertainty. quantity defining an interval about the result of a measurement that may be expected to encompass a large fraction of the distribution of values that could reasonably be attributed to the measurand. 1  The fraction may be viewed as the coverage probability or level of confidence of the interval.t is understood that the result of the measurement is the best estimate of the value of the measurand, and that all components of uncertainty, including those arising from systematic effects, such as components associated with corrections and reference standards, contribute to the dispersion.