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arithmetic mean
$$ \begin{aligned} \overline{x} &= \frac{x_1 + x_2 + \cdots + x_n}{n} \end{aligned} $$
weighted arithmetic mean
$$ \begin{aligned} \overline{x} &= \frac{x_1 p_1 + x_2 p_2 + \cdots + x_n p_n}{p_1 + p_2 + \cdots + p_n} \end{aligned} $$

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