算术平均:
$$ average = \frac{1}{4}(a+b+c+d) $$

几何平均
$$ average = \sqrt4 $$

调和平均:更重视较小值
$$ \begin{aligned} average = \frac{2ab}{a+b} \ \frac{1}{average} = \frac{1}{2}(\frac{1}{a} + \frac{1}{b}) \end{aligned} $$

加权调和平均:
$$ \begin{aligned} average_\beta = \frac{(1+\beta^2)\times a \times b}{(\beta^2 \times a) + b} \ \frac{1}{average_\beta} = \frac{1}{1+\beta^2}(\frac{1}{a} + \frac{\beta^2}{b}) \end{aligned} $$

$\beta < 1$:更注重a
$\beta = 1$:相当于调和平均
$\beta > 1$:更注重b