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Assuming that there is three clusters and clusters have the following data points.: Cluster 1=1,0},{1,1}} Cluster 2 ={{1,2), (2,3),(2,2),(1,2)). Cluster 3 ={{3,1),(3,3),(2,1}} Find the

 
Assuming that there is three clusters and clusters have the following data points.: Cluster 1=1,0},{1,1}}

Assuming that there is three clusters and clusters have the following data points.: Cluster 1=1,0},{1,1}} Cluster 2 ={{1,2), (2,3),(2,2),(1,2)). Cluster 3 ={{3,1),(3,3),(2,1}} Find the Silhouette Coefficient of the first data point in Cluster 1. What can you comment about the cohesion and separation of this data point as evident from the Silhouette Coefficient? Hint: The Silhouette Coefficient for a sample is (b- a)/max(a,b), where a is the average intra-cluster distance and b is the distance between a sample and the nearest cluster.

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SOLUTION To calculate the Silhouette Coefficient of the first data point in Cluster 1 we need to find the average intracluster distance a and the distance between the data point and the nearest cluste... blur-text-image

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