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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 ?
Through prayer and conversation and reading, she gradually finds herself, thanks to God's grace, growing closer to the person she is meant to be.
This meant cleansing society of the colonial legacy as exemplified by the continued use of the French language, a constitution defined as "secular," unveiled women, co-education etc.
One lesson from the failure of revolutionary federal health care reform was the importance of having a basic, shared notion of what this kind of triangular, potentially distorted relationship among physicians, payers, and patients is meant to be.
While woven knit sleepwear and embroidered chambray muumuus accentuate the line, the Meant To Be fashion story is all about prints," according to Herb Roth, President of the new Movie Star division.
That it meant, that it means, and, by the blessing of God, that it shall mean to the end of time
According to that document, actualization begins with a correct interpretation of what the scripture text meant for its own time, which is followed by three steps: hearing the text from within one's own situation, identifying the aspects of the present situation highlighted by the text, and drawing from the text the meaning in a way that advances the will of God.
He found, for instance, that elucidating the figurative language of Jesus in order that the ordinary reader might better understand it had the effect of making it seem odd that persons in the scriptural story sometimes responded as if they could not understand what Jesus meant.
As I indicated before, this essay is not meant to compare Arsuzi to Aflaq.
putting the page in the typewriter sideways meant that it was going to resemble a movie screen, which is so beautifully a rectangle on its side, and it meant deciding that I wanted to highlight the blankness.
Pre modernists might have warned us to clutch our illusions dearly, for they once meant our salvation.
He said it simply meant ``that Congress should not establish a religion, and enforce the legal observation of it by law, nor compel men to worship God in any manner contrary to their conscience.
Since such a claim universalizes the particular Christian belief about Jesus into an ontological reality, all efforts to be open to the other become impossible because there is always in such a christology a universalizing, supersessionist claim -- what Rosemary Ruether meant when she said that antisemitism is the left hand of christology.