https://doi.org/10.1351/goldbook.A00440

The sum of a series of observations divided by the number of observations. Symbol: x(bar). It can be calculated by the formula: \[\bar{x}=\frac{\sum x_{i}}{n}\]**Note: **

All summations are taken from 1 to \(n\). Note that the arithmetic mean is an unbiased estimate of the population mean, i.e. \(\mu\) is the limiting value for \(\bar{x}\), as \(n\rightarrow \infty\).*Source: *

PAC, 1994,*66*, 595. 'Nomenclature for the presentation of results of chemical analysis (IUPAC Recommendations 1994)' on page 599 (https://doi.org/10.1351/pac199466030595)

All summations are taken from 1 to \(n\). Note that the arithmetic mean is an unbiased estimate of the population mean, i.e. \(\mu\) is the limiting value for \(\bar{x}\), as \(n\rightarrow \infty\).

PAC, 1994,