Alternative Equation Formats

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MathML

\begin{aligned} \bar{y} & = \frac{\sum_{i}^{n^{⋆}} f_{i} w_{i} y_{i}}{\sum_{i}^{n^{⋆}} f_{i} w_{i}} \\ s & = {(\frac{\sum_{i}^{n^{⋆}} f_{i} w_{i} (y_{i} - \bar{y})^{2}}{n - 1})}^{\frac{1}{2}} \\ S E & = \frac{s}{{(\sum_{i}^{n^{⋆}} f_{i} w_{i})}^{\frac{1}{2}}} \end{aligned}

Math Rendered as SVG

Math as LaTeX Source

\begin{align*} \bar{y} & = \frac{\sum _ i^{n^\star } f_ i w_ i y_ i}{\sum _ i^{n^\star } f_ i w_ i} \\ s & = \left( \frac{\sum _ i^{n^\star } f_ i w_ i (y_ i - \bar{y})^2}{n-1} \right)^\frac {1}{2} \\ \mr{SE} & = \frac{s}{\left( \sum _ i^{n^\star } f_ i w_ i \right)^\frac {1}{2}} \end{align*}