Image: Wikimedia Commons

arithmetic mean

Sum of a collection of numbers divided by the number of numbers in the collection

Entitytype of statisticQ19033

Also known as statistical mean value · statistical mean · arithmetic mean value · AM · mean · average

Instance of: type of statistic
Subclass of: mean
, Pythagorean mean
, generalized mean
+3 more

Overview

From Wikipedia, the free encyclopedia · Read full article · Text CC BY-SA 4.0

In mathematics and statistics, the arithmetic mean, arithmetic average, or just the mean or average is the sum of a collection of numbers divided by the count of numbers in the collection. The collection is often a set of results from an experiment, an observational study, or a survey. The term "arithmetic mean" is preferred in some contexts in mathematics and statistics because it helps to distinguish it from other types of means, such as geometric and harmonic.

Overview

All data

41 statements · 2% with external sources · numbers in brackets are citations

Defining formula: \overline{x} = \frac{1}{n} \sum_{i = 1}^n x_i
In defining formula: \overline{x} symbol represents: arithmetic mean
\frac{1}{n} symbol represents: multiplicative inverse
\sum_{i = 1}^n x_i symbol represents: addition
Different from: sample mean
median
Greater than: geometric mean statement is subject of: AM–GM inequality · criterion used: numerical quantity value
Less than: root mean square criterion used: standard deviation
Has use: pulse width

On other databases

24 identifiers linking arithmetic mean across the web's reference databases

Data quality

statements

externally sourced

Source last edited September 17, 2026. AIDB refreshes this page daily.

Suggest a fact or correction

Links

Use this data

curl https://aidb.si/api/v1/entities/Q19033

API docs, limits & keys

Cite this page

AIDB. (2026). arithmetic mean (Q19033). Retrieved from https://aidb.si/e/arithmetic-mean-Q19033