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Sample (Statistics)

Actuarial and Risk SciencesUpdated 15 Nov 2026

A sample, in statistics, is a set of observations taken from a larger group, the population, in order to learn about that group without measuring every member. Quantities calculated from a sample, such as the sample mean, are called statistics and serve as estimates of the corresponding population values, which are called parameters. The number of observations is the sample size, written nn. Larger samples give more precise estimates, provided the sample was selected fairly, ideally by random sampling.

In finance, any set of historical prices or returns is a sample. The population is the full range of outcomes the market could have produced, of which history is a single draw. Ten years of daily returns therefore support only limited conclusions about a strategy's true average return. Financial samples are also rarely random: a database that omits delisted companies suffers from survivorship bias, and a period chosen because it looks favourable misrepresents the whole.

Last updated 15 Nov 2026