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.

In these lessons, we will distinguish between the population mean and sample mean.

Related Topics: More Statistics Lessons

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.

The arithmetic mean is a single value meant to "sum up" a data set.

To calculate the mean, add up all the values and divide by the number of values.

There are two types of arithmetic mean: population mean and sample mean.

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.