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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.
This position is expressed in the GUM (3.3.1), where it is suggested that measurement uncertainty reflects the lack of exact knowledge of the value of the measurand''. The corresponding state of knowledge is best described by means of a probability distribution over the set of possible values for the measurand. Evaluation of measurement data â Supplement 1 to the Guide to the expression of uncertainty in measurement â Propagation of distributions using a Monte Carlo method JCGM 101:2008. 2  M. R. Bottaccini (1975).