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Related to mean deviation: Mean Absolute Deviation


The expected value of a random variable. Arithmetic average of a sample.
Copyright © 2012, Campbell R. Harvey. All Rights Reserved.

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.
Farlex Financial Dictionary. © 2012 Farlex, Inc. All Rights Reserved


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.

The Complete Real Estate Encyclopedia by Denise L. Evans, JD & O. William Evans, JD. Copyright © 2007 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The mean deviation [bar.d] is within the interval {-0.16 dB to 0.34 dB}.
Mean deviation and correlation of the estimated marker effect among lactations Trait Lactation 1 Lactation 2 Milk yield Lactation 1 0.307 Lactation 2 0.918 Lactation 3 0.882 0.993 Lactation 4 0.888 0.987 Fat yield Lactation 1 0.284 Lactation 2 0.930 Lactation 3 0.886 0.991 Lactation 4 0.852 0.979 Protein yield Lactation 1 0.301 Lactation 2 0.922 Lactation 3 0.879 0.990 Lactation 4 0.896 0.990 Trait Lactation 3 Lactation 4 Milk yield Lactation 1 0.370 0.361 Lactation 2 0.092 0.125 Lactation 3 0.060 Lactation 4 0.997 Fat yield Lactation 1 0.364 0.415 Lactation 2 0.106 0.156 Lactation 3 0.057 Lactation 4 0.997 Protein yield Lactation 1 0.375 0.348 Lactation 2 0.107 0.106 Lactation 3 0.040 Lactation 4 0.999 Upper diagonal, mean deviation; Lower diagonal, correlation coefficient.
Like the relative mean deviation, however, the Gini coefficient has the unattractive property of being non-decomposable.
The mean deviation changed from a lower starting point of 0.13 ([+ or -] 0.1) s in test 1, not significant, to 0.15 ([+ or -] 0.11) s in test 4.
Considering all data analyzed earlier and in the present study, the present correlation has been compared to 1736 data points for 24 fluids from 51 sources with a mean deviation of 16.1%.
Length of the upper limb: The values calculated for mean deviation, standard deviation and coefficient of variation are equal to 6.63%, which indicates that the sample is homogeneous, this characteristic having values close to the mean.
Profile Parameter name Roughness Waviness Arithmetic mean deviation of the assessed profile [R.sub.a] [W.sub.a] Root-mean-square deviation of the assessed profile [R.sub.q] [W.sub.q] Maximum profile peak height within a sampling length [R.sub.p] [W.sub.p] Maximum profile valley depth within a sampling length [R.sub.v] [W.sub.v] Maximum height of the profile within a sampling length [R.sub.z] [W.sub.z] Total height of the profile on the evaluation length [R.sub.t] [W.sub.t] Table 2.--Factor analysis scores for all surface quality parameters following principal components initial factor method.
For fuzzy set [??], mean deviation [delta](A) could be calculated as follows:
Deviation from actual measurement values in both groups Patient's Mean Mean deviation 95% Confidence Estimation estimated (estimated--actual interval of measurements) Mean Deviation Weight 81.16 -3.71 -5.10 to -2.32 Height 1.6782 0.0039 -0.0112 to 0.0033 Waist 90.85 -13.09 -15.48 to -10.70 BMI 28.68 -1.24 -1.87 to -0.61 Doctor's visual estimation Weight 80.85 -3.78 -5.54 to -2.02 Height 1.6710 -0.0113 -0.224 to 0.002 Waist 92.10 -11.84 -13.87 to -9.81 BMI 29.08 -8.47 -1.54 to -0.15
He introduces safety-related facts and figures, terms, definitions, and information sources, then reviews math concepts such as mode, median, mean deviation, Boolean algebra laws, probability definition and properties, Laplace transforms, and probability distributions.

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