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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 ?
Chris was every bit as infamous as North, only meaner.
The task for Lennie Lawrence (apart from making sure Andy Legg gets a new contract) is to galvanise his players into a meaner unit.
Farrell strikes a fatalistic tone: "For the working stiff and the single mother and seniors on fixed incomes with no health insurance, the rules just got a lot tougher and the world just became a much meaner place.
That's bound to make Mexican newspapers leaner and meaner but more savvy and professional.
Turns out he was calling the goat--his name was Meaner.
Findings such as this certainly don't indicate that European-Americans are meaner people than the Aka.
Some elements of the contract, such as welfare reform, a balanced-budget amendment and proposed changes to the crime bill, will only result in leaner resources and meaner streets, as many mayors know.
But this is, after all, the same party which started the Reagan years promising to create a leaner and meaner federal workforce, and instead left behind one that was fatter and a good deal more mediocre.
The traditional merchants were not interested in establishing colonies and abandoned the Americas to a new group of merchants with meaner backgrounds.
Brill's mother first sent him to tap classes to keep him "out of trouble" on Chicago's meaner streets.
That's why I've called this year's conference: Intergroup 2000: Leaner and Meaner Towards the Next Millennium.