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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 ?
Now the middle terms are in sequence (C-B/B-A) and the reasoner can build an integrated model.
Middle Term Plan for Functional Plans (midterm plan for human resources, midterm educational plan, and midterm plan for logistics, IT, etc.
These two conditions correspond to the two conditions in Prior Analytics II 23, C is 'through them all' (68b29) and 'the middle term does not reach beyond the extreme [the particulars]' (68b23-4).
Correcting for this error, Peirce suggests that Aristotle would mean that abduction is an argument in which it is well known that the middle term is true of the major term; and it is known that the minor term is true of the major term.
If you try to switch the subject and predicate in the premises of our example, you don't get the Dimaris mode, because the location of the middle term yields the 1st figure, which does not admit a mode in the form I--A--I; moreover, all the premises in the syllogism will be semantically incorrect:
In neither language is the middle term a medial, referring to a distance somewhere in between the proximal and distal terms.
Jost's aims extend beyond the elucidation of a Wittgensteinian critical practice and its rhetorical middle term.
He says: "That would mean handing down what the PKK has been seeking for years as middle term goals in order to reach its final target".
The authors are amongst those who hold out little hope for more adequate employment opportunity in the short to middle term.
The pride paid, however, is a retreat from utopian speculation--an unwillingness to dwell on the broader details of a more egalitarian future, or on any time scale beyond the short to middle term.
The situation will not be critical in terms of supply in the middle term and early long term.

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