sample mean

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

   ${\displaystyle \mathbf {\bar {x}} ={\frac {1}{N}}\sum _{k=1}^{N}\mathbf {x} _{k}.}$

• population mean