It has 3 parts but it is one question. So please answer all 3 parts. Some explanation would be nice.

Question 4: K-means Clustering [25 points] Given the following six itemis in 1D: x1 = 10,T2 = 8,T3 = 6,24 = 4, x5 = 3, as = 2, perforn k-means clustering to obtain k = 2 clusters by hand. Specifically, 1. Start from initial cluster centers c0, c2 9. Show your steps for all iterations: (1) the cluster assignments y\,.... ye6: (2) the updated cluster centers at the end of that iteration; (3) the energy at the end of that iteration 2. Repeat the above but start from initial cluster centers c1 8,2 9. 3. Which k-means solution is better? Why? Question 4: K-means Clustering [25 points] Given the following six itemis in 1D: x1 = 10,T2 = 8,T3 = 6,24 = 4, x5 = 3, as = 2, perforn k-means clustering to obtain k = 2 clusters by hand. Specifically, 1. Start from initial cluster centers c0, c2 9. Show your steps for all iterations: (1) the cluster assignments y\,.... ye6: (2) the updated cluster centers at the end of that iteration; (3) the energy at the end of that iteration 2. Repeat the above but start from initial cluster centers c1 8,2 9. 3. Which k-means solution is better? Why