Word Count : 696

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Sure! Let's solve this manually using Forgy’s method for k = 2 clusters. I’ll go step by step, calculating distances and updating cluster centroids until convergence. --- ### Given Data | Point | X | Y | | ----- | -- | -- | | 1 | 3 | 3 | | 2 | 6 | 8 | | 3 | 10 | 10 | | 4 | 4 | 4 | | 5 | 6 | 6 | | 6 | 14 | 12 | | 7 | 20 | 18 | | 8 | 22 | 20 | Initial seeds: * Cluster 1 centroid $C_1 = (3,3)$ * Cluster 2 centroid $C_2 = (6,8)$ --- ### Step 1: Assign points to nearest centroid Distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ #### Point 1: (3,3) * $d(C_1) = _____ ______ ________ ______ ________ ________ __________ _________.
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