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Centroid, Radius and Diameter of a Cluster (for numerical data sets)
- Centroid: the “middle” of a cluster
\[C_{m}=\frac{\sum_{i=1}^{N}(t_{ip})}{N}\] - Radius: square root of average distance from any point of the cluster to its centroid
\[R_{m}=\sqrt{\frac{\sum_{i=1}^{N}(t_{ip}-c_{m})^{2}}{N}}\] - Diameter: square root of average mean squared distance between all pairs of points in the cluster
\[D_{m}=\sqrt{\frac{\sum_{i=1}^{N} \sum_{i=1}^{N}(t_{ip}-t_{iq})^{2}}{N(N-1)}}\]
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