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question two
cluster the following eightpoints into three clusters using k means clustering algorithm and use euclidean distance.

A1=(2,10), a2=(2,5), a3=(8,4), a4=(5,8),

a5=(7,5), a6=(6,4), a7=(1,2), a8=(4,9).



A) create distance matrix by calculating euclidean distance between each pair of points. (0.5 mark)


b) suppose that the initial centers of each cluster are a1, a4 and a7. Run the k-means algorithm for once only and show:


I. The new clusters (i.e. The examples belonging to each cluster) (1 mark)
ii. The centers of the new clusters (0.5 mark)