IUPAC > Gold Book > alphabetical index > A > arithmetic mean (average)


arithmetic mean (average)
The sum of a series of observations divided by the number of observations. Symbol: Math - text. It can be calculated by the formula:
Math - e
All summations are taken from 1 to Math - note. Note that the arithmetic mean is an unbiased estimate of the population mean, i.e. Math - note is the limiting value for Math - note, as Math - ei.
PAC, 1994, 66, 595 (Nomenclature for the presentation of results of chemical analysis (IUPAC Recommendations 1994)) on page 599
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Cite as:
IUPAC. Compendium of Chemical Terminology, 2nd ed. (the "Gold Book"). Compiled by A. D. McNaught and A.Wilkinson. Blackwell Scientific Publications, Oxford (1997). XML on-line corrected version: http://goldbook.iupac.org (2006-) created by M. Nic, J. Jirat, B. Kosata; updates compiled by A. Jenkins. ISBN 0-9678550-9-8. doi:10.1351/goldbook.
Last update: 2008-10-07; version: 2.0.2.
DOI of this term: doi:10.1351/goldbook.A00440.
Original PDF version (may be out of date): http://www.iupac.org/goldbook/A00440.pdf.
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