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Arithmetic Mean Average

An average calculated by adding the value of the points in a data set and dividing the sum by the number of data points. For example, suppose one wishes to calculate the average income of a country with exactly five people in it, and their incomes are $25,000, $26,000, $43,000, $70,000, and $72,000. It is calculated as:

($25,000 + $26,000 + $43,000 + $70,000 + $72,000) / 5 = $47,200.

A limitation to the arithmetic mean average is that it can be overly affected by extremes in either direction. For example, if one of the five persons in the country earns $100 billion per year, the arithmetic mean average income would be in the billions and would not accurately count the other four citizens. For this reason, many analysts use the median in conjunction with the arithmetic mean average. The arithmetic mean average is also called simply the mean.


References in classic literature ?
We have, at the present moment, one hundred and seventy families, Miss Summerson, averaging five persons in each, either gone or going to the left bank of the Niger.
Within a month from the taking of the first stickleback, Benjy had carried off our hero to the canal, in defiance of Charity; and between them, after a whole afternoon's popjoying, they had caught three or four small, coarse fish and a perch, averaging perhaps two and a half ounces each, which Tom bore home in rapture to his mother as a precious gift, and which she received like a true mother with equal rapture, instructing the cook nevertheless, in a private interview, not to prepare the same for the Squire's dinner.
As she roars her song, in a voice of which it is enough to say that it leaves no portion of the room vacant, the three musicians follow her, laboriously and note by note, but averaging one note behind; thus they toil through stanza after stanza of a lovesick swain's lamentation: --