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IUPAC - weighted mean (W06670)

weighted mean

If in a series of observations a @D01556@ (\(w_{i}\)) is assigned to each value, a weighted mean \(\overline{x}_{w}\) can be calculated by the formula: \[\overline{x}_{w}=\frac{\sum w_{i}\ x_{i}}{\sum w_{i}}\]
PAC, 1994, 66, 595. (Nomenclature for the presentation of results of chemical analysis (IUPAC Recommendations 1994)) on page 599 [Terms] [Paper]