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Question 1 : Consider a one - dimensional dataset with three natural clusters. The first cluster contains consecutive integers { 1 . . . 5

Question 1: Consider a one-dimensional dataset with three natural clusters. The first cluster contains consecutive integers {1...5}. The second cluster contains consecutive integers {8...12}. The third cluster contains data points {24,28,32,36,40}. Apply the k-means algorithm with initial centers of 1,11, and 28. Does the algorithm determine the correct clusters?
Question 2: As in Question 1, if the initial center is changed to 1,2, and 3, will the algorithm find the correct clusters? what does this tell you?

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