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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 ?
In this section we characterize the meanness of some Duplicate graphs.
The positive correlation between increasing income and increasing meanness was established after comparing the meanness score with executive compensation.
After some discussion about the permanent harmful effects bullying and meanness can have on someone, the campers pass the picture, which is now a tiny little ball of paper, around for a second time.
4) A god among men, she collects and then renames them according to a private scheme of affection, whim, grim humor, and meanness.
For the protagonists the descent from lofty ambition to mundane realities is inevitable because of the discrepancy between the grandeur of their aspirations and the meanness of opportunity, which causes them to modify or abandon their goals.
All the strange secrets of the past, humanity's meanness, loneliness, survival: basic subjects, maybe, but surely the building blocks of any great art.
Meanness is also an aesthetic asset for its flavor of danger.
There is a lot less physical fighting and interpersonal meanness and putdowns--that unhappy stuff that happens all the time in most schools," Shapiro adds.
Childhood meanness always has been a part of growing up--taunting other youngsters, playing malicious practical jokes, including gossip and put-downs, vying for pecking order in snobbish (or rebel) cliques.
Small gestures--reaching, touching--revealed a meanness as well.
These practices added to anxiety, discontent, meanness, political friction and even racial tensions.
Love turns away evil, meanness never pays, and courage and loyalty are rewarded.