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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.
Often, the uncertainty of a measurement is found by repeating the measurement enough times to get a good estimate of the standard deviation of the values. Then, any single value has an uncertainty equal to the standard deviation. However, if the values are averaged, then the mean measurement value has a much smaller uncertainty, equal to the standard error of the mean, which is the standard deviation divided by the square root of the number of measurements.