High Quality Content by WIKIPEDIA articles! The term probable error has different meanings in different contexts. In statistics, the probable error of a quantity is a value describing the probability distribution of that quantity. It defines the half-range of an interval about a cental point for the distribution, such that half of the values from the distribution will lie within the interval and half outside. Thus it is equivalent to half the interquartile range However the term also has an older meaning that is still currently repeated as the only meaning, but that has been deprecated for some time. This specifies the probable error as being fixed a multiple of the standard deviation, , where the multiplying factor derives from the normal distribution. Clearly this latter definition requires that at least the second moment of the distribution should exist, whereas the first definition does not. One use of the term probable error in statistics is as the name for the scale parameter of the Cauchy distribution.

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