Uncertainty¶
$$ \large x_1 \pm \sigma_1, \quad x_2 \pm \sigma_2, \quad x_3 \pm \sigma_3, \quad \cdots, \quad x_N \pm \sigma_N $$
Weighted Average¶
$$ \large \bar{x} = \frac{ \sum^N_{i=1} w_i x_i}{\sum^N_{i=1} w_i} $$where
$$ \large w_i = \frac{1}{\sigma^2_i} $$