Q:

silhouette index

from sklearn.datasets import make_blobs 
from sklearn.cluster import KMeans 
from sklearn.metrics import silhouette_score 
  
# Generating the sample data from make_blobs 
  
X, Y = make_blobs()   
  
no_of_clusters = [2, 3, 4, 5, 6] 
  
for n_clusters in no_of_clusters: 
  
    cluster = KMeans(n_clusters = n_clusters) 
    cluster_labels = cluster.fit_predict(X) 
  
    # The silhouette_score gives the  
    # average value for all the samples. 
    silhouette_avg = silhouette_score(X, cluster_labels) 
  
    print("For no of clusters =", n_clusters, 
          " The average silhouette_score is :", silhouette_avg) 
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