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1. K-Means algorithm: Consider the following eight points in a 2-dimensional space: {(2, 10); (2, 5); (8, 4); (5, 8); (7, 5); (6, 4); (1,

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1. K-Means algorithm: Consider the following eight points in a 2-dimensional space: {(2, 10); (2, 5); (8, 4); (5, 8); (7, 5); (6, 4); (1, 2); (4, 9)). Suppose we plan to use the Euclidean distance metric, and we are interested in clustering these points into 3 clusters. a. Plot the data points to see what appropriate clusters might be; b. Form three initial clusters with points (2, 5), (5, 8), (4, 9)} as initial cluster centers; c. Use the K-Means clustering algorithm to get final three clusters. What are the resulting centers and resulting clusters? (K-3)

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