Table of Contents

Pythagorean Means

Arithmetic Mean

\begin{eqnarray*} M_{a} &=& \frac{1}{n} * \Sigma_{i=1}^{n} a_{i} \end{eqnarray*}

Geometric Mean

\begin{eqnarray*} M_{g} &=& \sqrt[n]{\Pi_{i=1}^{n} a_{i}} \end{eqnarray*}

Harmonic Mean

\begin{eqnarray*} M_{h} &=& \frac{n}{\Sigma_{i=1}^{n} \frac{1}{a_{i}}} \end{eqnarray*}

Heronian Mean

\begin{eqnarray*} M_{H} &=& \frac{1}{3} (a + \sqrt{ab} + b) \end{eqnarray*}

Quadratic Mean

\begin{eqnarray*} M_{rms} &=& \sqrt{\frac{1}{n} \Sigma_{i=1}^{n} a_{i}^{2}} \end{eqnarray*}