Arithmetic mean

The arithmetic mean gives the average of a set of n numbers by adding them all and dividing by how many there are. It is used to summarise a data set with a single typical value.

x = \frac{1}{n} i = 1 \sum n x_{i}

\overline{x} = \frac{1}{n} \sum_{i=1}^{n} x_i

What the symbols mean

$x$	the arithmetic mean of the values
$n$	the number of values in the collection
$x_{i}$	the i-th value in the collection
$i$	index running from 1 to n

About this formula

FieldStatistics
TopicDescriptive statistics
LevelHigh school
Also calledaverage, mean, statistical mean, arithmetic average, sample mean, mean of a list of numbers
SourceWikidata Q19033

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What the symbols mean

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