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Population Mean and Sample Mean

The arithmetic mean is the average of a group of numbers and is computed by summing all numbers and dividing by the number of numbers. The arithmetic mean is also usually just called the mean.

 

 

A population is a collection of persons, objects or items of interest.

A sample is a portion of the whole and, if properly taken, is representative of the whole.

The population mean is represented by the Greek letter mu . It is given by the formula


The capital Greek letter sigma is commonly used in mathematics to represent a summation of all the numbers in a grouping.

N is the number of terms in the population.

 

 

The sample mean is represented by . It is given by the formula

n is the number of terms in the sample.

 

 

The following video highlights the difference between the mean of a sample and the mean of a population. (Errata – the formulas were given as xn when they should have been xi)

 

 

 

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