# arithmetic mean

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## a·rith·me·tic mean

the mean calculated by adding a set of values and then dividing the sum by the number of values.

See mean.

## mean

Statistics
noun The sum of the values of all observations or data points divided by the number of observations; an arithmetical average; the central tendency of a collection of numbers, which is a sum of the numbers divided by the amount of numbers the collection.

Types
• Population mean (µ).
• Sample mean (x-bar).

Vox populi-UK
adjective Stingy; miserly; unwilling to share.

Vox populi-US

## arith·me·tic mean

(ar'ith-met'ik mēn)
The mean calculated by adding a set of values and then dividing the sum by the number of values.
Synonym(s): average (2) .
Fig. 47 Arithmetic mean . In this example, the mean (x) of 4 values of x is 11.

or

## mean

a number (symbol: x) that is computed by calculating the sum of a set of numbers (Σx ) and dividing the sum by the number of terms (n ).

## arithmetic mean

see mean.
References in periodicals archive ?
The highest IR estimates were arithmetic means for the 55/45 partition and are near the IEUBK model recommended values (also shown in Figure 1).
Therefore, compared with the arithmetic mean, it is more optimal for selecting optimal solutions from multiple poles.
To determine if there is a significant difference between arithmetic means ANOVA was used and the results are presented in Table 10.
1]: We suppose that arithmetic mean of perceiving the importance of personal presentation on social networks from the point of view of job search by male (nowadays and in the future) is not equal to arithmetic mean of perceiving of the importance of personal presentation on social networks from the point of view of female and also we assume that the difference between them, if it exists, is not caused only by coincident variation of selection results.
Moulton (1990) and Gyourko and Tracy (1988) explicitly constructed estimates of the percentage difference in the arithmetic means of wages between the federal and private sectors by accounting for differences in the conditional variances of the federal and private-sector wage distributions.
Therefore this mean is preferred to arithmetic mean in order to reduce the effects of outliers.
The arithmetic mean provides a value of the variable which represents the centre of gravity of the distribution (in which the distribution of observations is balanced).
for the geometric, logarithmic and arithmetic means of positive numbers x, y respectively.
as simple arithmetic mean of mobile averages, if the intervals between the moments are equal:
The consumer confidence indicator is an arithmetic mean of the balances of the expectations about the development over the next 12 months of the financial situation of households, general economic situation, savings and unemployment, as the last is taken with a negative sign.
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.

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