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measure the goodness of clustering, use Silhouette Score, which Measures how well - separated clusters are and how similar data points within the same cluster

measure the "goodness" of clustering, use "Silhouette Score", which Measures how well-separated clusters are and how similar data points within the same cluster are. Silhouette Score ranges from -1 to 1, where a higher score indicates better-defined clusters. Try different values of k and show how clustering results changes.

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