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Average value

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The average value of a continuous function f(x) is equal to

f_{\text{ave}}=\frac1{b-a}\int\limits_a^b f(x)dx

this can be extended to higher dimensions as well with multiple integrals. for a discrete set of n objects, the average value is simply the arithmetic mean:

\overline{x}=\frac1n\sum_{k=1}^n x_k

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