# sample mean

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## English

### Noun

sample mean (plural sample means)

1. (statistics) Given a random sample ${\displaystyle \textstyle \mathbf {x} _{1},\ldots ,\mathbf {x} _{N}}$ from an ${\displaystyle \textstyle n}$-dimensional random variable ${\displaystyle \textstyle \mathbf {X} }$, a mean defined as
${\displaystyle \mathbf {\bar {x}} ={\frac {1}{N}}\sum _{k=1}^{N}\mathbf {x} _{k}.}$