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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 periodicals archive ?
According to defined domain, the educational methods' designing is accomplished meanly.
It was garnished meanly with a tiny strip of half-burned courgette and the gorgonzola had made it so salty that I ordered a glass of house red wine.
I'm sure many Chronicle readers have pulled on the invisible Stetson and squinted meanly like Clint Eastwood when facing their own personal 'high noon'.
The fuel will be measured meanly, as if by a parsimonious barman serving shorts, and use of Kers will give 161bhp a lap for 33 seconds instead of today's 80bhp a lap for 6.
79) Guy Pene du Bois regarded them as "fiendish," comprising "a parade of little people, badly composed, sloppily drawn, who somehow managed to contort their features into grimaces which were, though meanly, unmistakably theirs.
The system of reporting the amounts of harvested agricultural products proved to be extremely harmful, both for the ordinary people and for the members of the RCP leadership--who rapidly "disavowed", after 22 December 1989, the lies they had told in the 80s in order to meanly keep the privileges granted to them by Nicolae Ceausescu.
Peter Marsh, a member of the Frankfurt ensemble, is not a particularly distinguished Mime, certainly lacking the meanly mischievous characterization and vocal prowess Gerhard Siegel brought to the role in the recent Metropolitan Opera production.
If one of the children says, "I can't keep on with this," he will say, "Don't then," but not meanly, and of course they will keep on.
To be nobly wrong is more manly than to be meanly right, is an expression I once used on a former occasion, and it is equally applicable now.
True humility is intelligent self respect which keeps us from thinking too highly or too meanly of ourselves.