# 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 ?
Although the maximum likelihood method is the preferred method for fitting distributions, because the sample mean is unknown for each of the data sets in Table 1, the maximum likelihood method cannot be used to fit the distributions.
Figures 5(c) and 5(d) show the normalized discrepancies in sample mean and STD for [E.
The existing methods using sample mean phase error estimates [20, 21] work up to certain limit of phase errors.
The visualization of the Central Limit Theorem is more sophisticated, where the user may select a distribution from the provided list (normal, uniform, skewed or random), any sample size and see how the sampling distribution of the sample means gradually becomes approximately normal.
The sample median becomes superior to the sample mean for estimating the location parameter [mu] when the rate of contamination is greater or equal to 1% but less than 50% and when the variance [[sigma].
The approximate normality of the sample mean for large samples is routinely used for calculating confidence limits on actual casino win from a table game, or actual casino win from a given player (Hannum and Cabot, 2005).
If in the sample I have extreme values, the sample mean may be way off the population mean.
Choice of [alpha] is a way of stating how far--in statistical distance--the sample mean must be from what the population mean would be if the null hypothesis were true in order to reject the null hypothesis.
to become familiar with how to calculate a sample mean and variance
Most analyses of reaction time (RT) data are conducted by using the statistical techniques with which psychologists are most familiar, such as analysis of variance on the sample mean.
For each randomly selected sample, the sample mean is calculated and results are displayed in a Minitab worksheet.
In the same way, for each sample of size n, a sample mean is obtained (11).

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