densities one might have expected the dense region in the lower left to be the first clusterthe dense region in the upper right to be the secondand the less dense region in the center to be the third insteadboth cluster and cluster have some points that are far away from all the other points in these clusters that "reachtoward the center -means also assumes that all directions are equally important for each cluster the following plot (figure - shows two-dimensional dataset where there are three clearly separated parts in the data howeverthese groups are stretched toward the diagonal as -means only considers the distance to the nearest cluster centerit can' handle this kind of datain[ ]generate some random cluster data xy make_blobs(random_state= n_samples= rng np random randomstate( transform the data to be stretched transformation rng normal(size=( ) np dot(xtransformation unsupervised learning and preprocessing