# arithmetic mean

(redirected from arithmetic means)
Also found in: Dictionary, Thesaurus, Medical, Financial.
Related to arithmetic means: Finite sequence, geometric means

## arithmetic mean

an average value of a set of integers, terms, or quantities, expressed as their sum divided by their number
Collins Discovery Encyclopedia, 1st edition © HarperCollins Publishers 2005

## arithmetic mean

[¦a·rith¦med·ik ′mēn]
(mathematics)
The average of a collection of numbers obtained by dividing the sum of the numbers by the quantity of numbers. Also known as arithmetic average; average (av).
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

## arithmetic mean

(mathematics)
The mean of a list of N numbers calculated by dividing their sum by N. The arithmetic mean is appropriate for sets of numbers that are added together or that form an arithmetic series. If all the numbers in the list were changed to their arithmetic mean then their total would stay the same.

For sets of numbers that are multiplied together, the geometric mean is more appropriate.
References in periodicals archive ?
The table shows that the 'Information Quality' dimension scored an arithmetic mean of (3.60) and a standard deviation of (0.67).
While analyzing the second discriminant function, we noticed oscillations of the arithmetic means, which were positive in patients with visual acuity of 0.1 and 0.2, as well as in patients with amaurosis.
The CPI uses an arithmetic mean (or Laspeyres) formula for all upper level index calculation, but employs a geometric mean for approximately 60 percent of all lower level indexes in terms of weight (a Laspeyres formula is used for the remaining 40 percent).
ANOVA was used to determine whether the difference between the arithmetic means and computer use period is significant, and Scheffe test was employed to determine the differences between the groups in terms of stages of education.
[H.sub.1]: We suppose that arithmetic mean of the Internet utilization frequency (exceptsocial networks) in order to look for a job from the point of view of male is not equal to arithmetic mean of the Internet utilization frequency in order to look for a job from the point of view of female and at the same time we suppose that the difference between them is not caused by coincident variation of selection results.
TABLE 1 Illustrative Comparison of Arithmetic and Geometric Means (Dollars per Hour) Wage of Wage of Arithmetic Mean: Mean of the Logs: Worker 1 Worker 2 (1)+(2)/2 (3) In(1)+In(2)/2 (4) (1) (2) Group A 30.0 20.0 25.0 3.2 Group B 40.0 10.0 25.0 3.0 Geometric Mean: (In(1)+In(2)/2) (5) Group A 24.5 Group B 20.0 Returning to my practical motivation for focusing on arithmetic means, if the federal government had a set of workers paid like those in group A and changed their pay to resemble that of group B to make them comparable with similar workers in the private sector, there would be no effect on the federal budget--even though the mean log wage had been 0.2 log points higher in group A.
Calculating the arithmetic means of two different projections is the technique for devising a large number of projections.
The following question arises: Suppose we have a continuous interpolation between the geometric and arithmetic means, i.e.
If the chronological series is of intervals, the average is calculated as an arithmetic mean.
While Phillips presents a strong case for the geometric mean, the harmonic mean--the reciprocal of the arithmetic mean of two reciprocals (in equation form below)--may be more accurate in particular economic situations.
This test will judge if the two arithmetic means are equal ([H.sub.0]: [mu] X d = 0).

Site: Follow: Share:
Open / Close