1. Let X1 = (4,5), X2 = (1,4), X3 = (0,1) and X4 = (5,0), and consider the following 3 partitions: i) D1 = {X1, X2}, D2 = {X3, X4} ii) D1 = {X1, X4}, D2 = {X2, X3} iii) D1 = {X1, X2, X3}, D2 = {X4} Which partition is favored by the sum-of-squarred error? Squarred error for each partition is defined by: Where mi is the mean of partition Di.

2. Which algorithm is most suitable for these data points?