Weighted arithmetic mean
- Weighted arithmetic mean is used when the values are of different importance – weight p to be assigned to each value.
Weighted arithmetic mean
$$
\begin{aligned}
\overline{x} &= \frac{x_1 p_1 + x_2 p_2 + \cdots + x_n p_n}{p_1 + p_2 + \cdots + p_n} \\ \\
\overline{x} &= \frac{\sum\limits_{i=1}^n x_i p_i }{\sum\limits_{i=1}^n p_i}
\end{aligned}
$$
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