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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.


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 ?
The usual unbiased estimator for population mean Y of the study variable is, given by
At any given time, the chart displays the true population mean (the red vertical bar) and all confidence intervals constructed by that time (horizontal bars).
had scores comprised between 36 and 58, which ranked them on level 2, namely within the population mean.
that is, at equilibrium, the population mean will coincide with the mode of the fitness function.
Further improvement in the estimation procedure for the population mean in the presence of non-response using auxiliary character was suggested by several authors including Rao[3], Khare and Srivastava [4,5], Tabasum and Khan [6,7], Singh and Kumar [8], Chaudhary et al.
If minimization is perfect, there is no difference between the group means of the subject characteristic, so the typical difference of a group mean from the population mean is given by the standard error of the mean of a sample of size 2n with two groups, 3n with three groups, and so on.
double dagger]) Standard error of an individual population mean.
The information on auxiliary variable plays a major role for the estimation of finite population mean in the field of survey sampling and have greatly increase the efficiency of the estimators.
The population mean would be estimated with greater precision than the phenotypic value of individual lines.
ABSTRACT: In this paper generalized exponential type regression estimators under simple random sampling without replacement has been proposed for estimating the finite population mean of study variable by using two auxiliary information in single phase sampling.