mean

(redirected from Mean vector)
Also found in: Dictionary, Thesaurus, Medical, Legal, Encyclopedia, Wikipedia.

Mean

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.

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 ?
Median activity, median concentration, and mean vector ([alpha] and r for angle and vector length, respectively) for Australian Silvereyes prior to and during exposure to magnetic fields simulating North (SimN) and South (SimS) locations.
With this option the best linear estimator of B, its mean vector and variance covariance matrix are:
For example, cost may be additive when evaluated at the sample mean vector of outputs.
The mean vectors of the six animals were randomly distributed (Moore's test: D = 0.
It is clear (FIGURE 3a) that while the range in declination is quite large, this largely reflects the very steep inclinations, and the mean vectors for each pot lie entirely within the northeast quadrant.
Multivariate statistical inference, including inferences about both mean vectors and covariance matrices
He covers stream of variation (SoV) modeling by reviewing matrix theory and multivariate statistics, including multivariate distribution and properties and statistical inferences on mean vectors and linear models, describing variation propagation modeling with applications in assembling and machining processes, including model validation and a factor analysis method for variability modeling, diagnosing the source of variation, including diagnosis through variation pattern matching and estimation, using design methods to reduce variability, including optimized fixture layout design and process-oriented tolerance synthesis, and building in quality and reliability.