https://doi.org/10.1351/goldbook.A00440

The sum of a series of observations divided by the number of observations. Symbol: \(\bar{x}\). It can be calculated by the formula: \[\bar{x}=\frac{\sum x_{i}}{n}\]

All summations are taken from 1 to \(n\). Note that the arithmetic mean is an unbiased estimate of the population mean, i.e. \(\mu\) is the limiting value for \(\bar{x}\), as \(n\rightarrow \infty\).

**Note:**

All summations are taken from 1 to \(n\). Note that the arithmetic mean is an unbiased estimate of the population mean, i.e. \(\mu\) is the limiting value for \(\bar{x}\), as \(n\rightarrow \infty\).