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Is estimated as the square root of the sum of the squares of the individual differences of x from µ divided by the number of differences less 1, that is the degrees of freedom. Note that whatever the population, for example a set of repeated measurements, µ and σ can only be estimated from the population, they are never known exactly. σ is known as the standard deviation or more often in surveying terminology, the standard error. An assumption here is that the population of x is large, in fact theoretically infinite.
The precision of the coordinates of the new station may better be expressed with respect to the OSTN02 datum, or alternatively with respect to the coordinates of another survey station on site. In the former case they may be considered as absolute and in the latter as relative. The difference between absolute and relative precisions is largely one of local definition and therefore of convenience. g. g. 03 m. Error is the difference between an actual true valve and an estimate of that true value.
0000. 2 is obtained, the errors being represented by rectangles. Then, in the limit, as the error interval gets smaller, the histogram approximates to the superimposed curve. This curve is called the normal probability curve. 1. 3; the tall thin curve indicates small scatter and thus high precision, whilst the flatter curve represents large scatter and low precision. Inspection of the curve reveals: (1) Positive and negative errors are equal in size and frequency; they are equally probable. (2) Small errors are more frequent than large; they are more probable.
Bell Helicopter Structural Design Manual by Bell