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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 ?
Advanced features inherent in the PCI Express standard include Quality of Service (QoS) via isochronous channels for guaranteed bandwidth delivery when required, advanced power management, support for real-time data traffic, data integrity and error handling, and native hot plug/hot swap support.
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The acquisition of PAFEX allows FedEx Express to invest more effectively and directly in the long-term growth and prosperity of India's economy.
We are extremely delighted to have Luggage Express come onboard with our race program" said Sigalsport BMW team owner Gene Sigal.
Since Spatial Express adds the capability to store MrSID and JPEG 2000 imagery natively in Oracle Spatial, customers can use the applications with which they are most familiar while saving 95 percent of the storage space required for their imagery on their database and preserving the ability to easily query by coordinates and other spatial criteria.
Our European business has grown to the point where it warrants local coverage and support, and our strong financial position enables us to capitalize on this opportunity," commented David Lamie, vice president of sales for Express Logic, Inc.
Our corporate and small business customers tell us that convenience is an important factor when making bulk gift card purchases, and we know corporate buyers want to make these purchases online," said Alpesh Chokshi, Senior Vice President and General Manager, North America, American Express Travelers Cheques and Prepaid Services.