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# Arithmetic mean

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The arithmetic mean is defined as the sum of all the members of a set of data divided by the number of items in the set. If the set used is a population, then we speak of the [population mean]?. When the set is a sample, we call the statistic a [sample mean]?.

We denote the set of data by X = {x1, x2, ..., xn}. The symbol µ is used to denote the arithmetic mean of a population. We use the name of the variable, X, with a horizontal bar over it as the symbol for a [sample mean]?. We read this symbol as "X Bar".

- Arithmetic mean = ( x1 + x2 + ... + xn ) / n

see also weighted mean, variance, central tendency

back to summary statistics

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Last edited June 30, 2001 12:53 am (diff)
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