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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 ?
According to defined domain, the educational methods' designing is accomplished meanly.
The fuel will be measured meanly, as if by a parsimonious barman serving shorts, and use of Kers will give 161bhp a lap for 33 seconds instead of today's 80bhp a lap for 6.
He signed it, adding meanly, "Good to know you still have friends.
The Government of Hungary acted wrong, small even meanly by extraditing the murderer Ramil Safarov to
Peter Marsh, a member of the Frankfurt ensemble, is not a particularly distinguished Mime, certainly lacking the meanly mischievous characterization and vocal prowess Gerhard Siegel brought to the role in the recent Metropolitan Opera production.
I recall drinking cup after cup of tea (tea, mind you, not booze) at cafeteria tables, talking Literature, which really meant gossiping madly and meanly.
If one of the children says, "I can't keep on with this," he will say, "Don't then," but not meanly, and of course they will keep on.
To be nobly wrong is more manly than to be meanly right, is an expression I once used on a former occasion, and it is equally applicable now.
True humility is intelligent self respect which keeps us from thinking too highly or too meanly of ourselves.
Their separate identities eerily blur into one La La Land persona: aged 40-something; rich (Adrienne and Lisa particularly own pots and pots of swag); sleek; unsensuously attractive; sumptuously dressed, coiffed, and housed; meanly competitive; hugely entitled and jealous of social standing (which is defined by loot, peer group, and other more ambiguous factors like - who's your party planner?
The table 3 shows that with increased temperature in the milk remainder the temperature in the raw milk remainder on the farm increased, since the correlation between them is positive and meanly strong.