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The expected value of a random variable. Arithmetic average of a sample.

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.


The average of a set of numbers.Contrast with median,which is the middle figure in a set of numbers,and mode,which is the value that appears most often in a set of numbers.

Example: A survey of home values in a neighborhood of nine houses obtained the following values:

The mean, or average, is the total of all values divided by 9, or $143,044.The median is the middle number when the numbers are all arranged from highest to lowest,which would be house 5, or $139,850.The mode is $139,000,because it is the number that appears most often.

References in classic literature ?
I don't know what wollen haben werden sollen sein ha"tte means, but I notice they always put it at the end of a German sentence--merely for general literary gorgeousness, I suppose.
Centralisation of credit in the hands of the State, by means of a national bank with State capital and an exclusive monopoly.
It is correct," said the King, "so far as the numbers and sexes are concerned, though I know not what you mean by 'right' and 'left'.
It is my marriage you mean, is it not, dear grandpapa?
Realism, in the broad sense, means simply the presentation of the actual, depicting life as one sees it, objectively, without such selection as aims deliberately to emphasize some particular aspects, such as the pleasant or attractive ones.
When Simonides said that the repayment of a debt was justice, he did not mean to include that case?
BRILLIG" means four o'clock in the afternoon--the time when you begin BROILING things for dinner.
He was one day engaged with Mr Allworthy in a discourse on charity: in which the captain, with great learning, proved to Mr Allworthy, that the word charity in Scripture nowhere means beneficence or generosity.
Why, it means worried--and worried is horrid--to feel," maintained Pollyanna.
This is a matter for the psychologist, and by no means an easy matter.
For me the district institutions simply mean the liability to pay fourpence halfpenny for every three acres, to drive into the town, sleep with bugs, and listen to all sorts of idiocy and loathsomeness, and self-interest offers me no inducement.
I said,' was the reply, made with that former gleam of determination, 'that I would find her out by any means, fair or foul.