This is the case when the operator performs a series of replicate measurements in repeatability conditions of measurement (cf. VIM §3.6).
The arithmetic mean
obtained from the equation
is used as the best estimate of the input quantity Xi. The values of the individual observations xi,k
iffer due to the random variations of the influence quantities. The variability of the observed values xi,k or, more specifically, their dispersion around their mean value
is called experimental standard deviation and is noted :
We can deduce from it the experimental standard deviation of the average
such as
, that is to say:
In practice, the experimental standard deviation of the average is called uncertainty of repeatability.