Cluster Prototype

${\mu }_k=\frac{{\sum }_{n=1}^N{r}_{nk}{x}_n}{{\sum }_{n=1}^N{r}_{nk}}$

• ${\mu }_k$ is the prototype of cluster $k$, or where we initially guess the location of our cluster and iteratively improve upon. Is also the average of the points assigned to cluster $k$
• The denominator denotes the number of points in cluster $k$