probable error

noun

, Statistics.

1. a quantity formerly used as a measure of variability: equal to 0.6745 times the standard deviation. A normally distributed population has half of its elements within one probable error of the mean.

probable error

/ prŏb′ə-bəl /

1. The amount by which the arithmetic mean of a sample is expected to vary because of chance alone.

Word History and Origins

Origin of probable error¹

First recorded in 1805–15

Example Sentences

If, therefore, all were rated and scaled by this value, the results would fall under a curve of probable error.

From Project Gutenberg

The probable error of a single observation of a fine object with this theodolite is about 0″.2.

From Project Gutenberg

An examination of 1407 angles showed that the probable error of an observed angle is on the average 0″.28.

From Project Gutenberg

The net observation probable-error for one pair of stars is only 0″.1.

From Project Gutenberg

The greatest probable error in the velocity measurements would not exceed 1/2 per cent.

From Project Gutenberg