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Mathematics

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please cluster the following points, (18, 10), (21, 11), (22, 22), (24, 15), (26, 12), (26, 13), (27, 14), (30, 33), (31, 39), (35, 37), (39, 44), (40, 27), (41, 29), (42, 20), (44, 28), (46, 21), (47, 30), (48, 31), (49, 23), (54, 24) use the numbers as pairs of x and y values which represent their locations. all distances are measured with euclidean distance. hint: you'll probably want to code for this question, although hand tracing is not impossible.
a. Use the k-means algorithm, with
(24,15),(30,33), and(54,24) as the initial cluster centers, process the dataset until convergence, choose a method of your choice to evaluate the cluster result quality. (10pts) b. Use the agglomerative hierarchical clustering to cluster the data, use single link, complete link, and average link, respectively. Discuss the similarities and/or the dissimilarities between the 3 different link methods. (10pts)

Answer :

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