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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 ?
Making pointed commentaries is another trait at home in the punk and folk camps, and on "The Meanest of Times" drives the tune "The State of Massachusetts," which laments the fallout caused by lousy parenting.
David Garner, of Marlborough Road, Nuneaton, was told by the judge at Warwick Crown Court his despicable theft was "the meanest financial crime" he had ever seen.
A court heard Baker - dubbed Britain's meanest man - had two homes and two cars and it's feared he may have stolen tens of thousands of pounds during his 23-year career.
In Premier Division action, third placed Bootle welcome Atherton LR to the Delta Taxi Stadium boasting the meanest defence in the league having conceded just one goal in eight games.
TWO sisters aged 106 and 100 have been robbed by Britain's meanest thieves.
FASHION giant Burberry was last night branded "the meanest company in Britain" after staff at its closure threatened factory were reportedly given a scarf and pounds 30 voucher as a Christmas bonus.
The reader gets a different answer for asking Melvin's dad, his mom, his dog, his best friend, the meanest man in the world, Santa Claus, a monster, a talking zebra and other mysterious creatures.
Everything there is themed, from Disneyland to the meanest mall, and developers have fought, with striking success, to make this an architecture-free zone.
I met one poor lady this week who possibly has the meanest husband in the world.
Hes the meanest traffic warden in London - hes devilish.
The meanest thing some fashion types had to say about him was that he was extravagantly vulgar, for Versace was never other than a designer of the people, for the people.