Question 10
A k-means++ algorithm with k= 3 was applied to the following 2D points:
(2, 2), (3, 3), (4, 4), (10, 10), (12, 12), (13, 13)
(2, 2) is chosen as the first cluster mean.
Based on the above data, answer the given subquestions.
Let’s assume that (3, 3), (10, 10), and (12, 12) are the cluster means. You introduce a new data point, (−5, 10). Which cluster mean is the data point (−5, 10) closest to when using the Euclidean distance method?
(3, 3)
(10, 10)
(12, 12)
None of these