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arithmetic mean (average) The sum of _ a series of observations divided by the number of observations. Symbol: x. It can be calculated by the formula: _ x = ∑ xi 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. µ is the limiting value for x, as n → ∞. 1994, 66, 599 IUPAC Compendium of Chemical Terminology 2nd Edition (1997)