Concept

Mean

Summary
There are several kinds of mean in mathematics, especially in statistics. Each mean serves to summarize a given group of data, often to better understand the overall value (magnitude and sign) of a given data set. For a data set, the arithmetic mean, also known as "arithmetic average", is a measure of central tendency of a finite set of numbers: specifically, the sum of the values divided by the number of values. The arithmetic mean of a set of numbers x1, x2, ..., xn is typically denoted using an overhead bar, \bar{x}. If the data set were based on a series of observations obtained by sampling from a statistical population, the arithmetic mean is the sample mean (\bar{x}) to distinguish it from the mean, or expected value, of the underlying distribution, the population mean (denoted \mu or \mu_x). Outside probability and statistics, a wide range of other notions of mean are often used in geometry and mathematical analysis; exampl
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