experimental standard deviation — MLGT: The authoritative multi-lingual geographic information terminology database

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experimental standard deviation

for a series of $n$ measurements of the same measurand, the quantity, $s (q_{k})$ , characterizing the dispersion of the results and given by the formula $s (q_{k}) = \sqrt{\frac{\sum_{j = 1}^{n} {(q_{j} - \bar{q})}^{2}}{n - 1}}$ where $q_{k}$ is the result of the $k$ th measurement; $q$ is the arithmetic mean of the $n$ results considered; $n$ is the number of the measurements

Note to entry: Considering the series of $n$ values as a sample of a distribution, $\bar{q}$ is an unbiased estimate of the mean $μ$ , and $s^{2}$ is an unbiased estimate of the variance $σ^{2}$ of that distribution. The expression $s / \sqrt{n}$ is an estimate of the standard deviation of the distribution of $\bar{q}$ and is called the experimental standard deviation of the mean.

[SOURCE: ISO/IEC Guide 98-3:2008 B.2.17, modified - Notes 3 and 4 to entry have been removed.]

ISO/TC 211 Multi-Lingual Glossary of Terms (MLGT)

Concept experimental standard deviation