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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 ?
But there are 37,000 reasons why it is far from meaningless for Everton.
Boxes have to be ticked and targets have to be reached no matter how meaningless those ticked boxes and targets might be to the only people who matter - the pupils.
A game between Everton and Liverpool is never meaningless.
Sim says he understands the Yorkshireman's fury and said: "If the changes were to be implemented for next season, any club currently challenging for the play-off promotion places would, for all intents and purposes, see their season rendered meaningless.
Yilmaz told reporters that the program would make Turkey-Syria border meaningless in the future, adding that borders should lose their meanings in economic, social and cultural aspects.
Attach this contraption to your meter and see the amount you're using converted into money, instead of meaningless meter readings.
A TYNESIDE council has been accused of producing meaningless jargon after residents were left puzzled over pavement repairs.
But totally meaningless if hospitals just shift patients around elsewhere to meet them.
Any half-assedly film-literate person already knows that the Oscars are usually artistically meaningless.
THE Los Angeles City Council has a history of passing meaningless resolutions about issues it has no control over, such as the war in Iraq.
Therefore, merely saying this is a Christian Nation is meaningless.
TWO young robbers have been locked up for five and a half years after a judge described them as "young men leading selfish and meaningless lives.