10 ON Initial Cent 1 Durability Initial Cent 2 B 1 2 3 4 5 6 7 8 9 10 11 Compactness The letters A, B, C, ..etc., represent ten respondents. The positions of the letters on the figure reflect the importance scores provided by these respondents for "Compactness" and "Durability" when considering a portable USB drive. For arriving at a two-cluster solution, two initial cluster centers were arbitrarily chosen. The positions of the two initial cluster centers are represented by the points indicated on the figure by "Initial Cent 1" and "Initial Cent 2". Initial Cent 1 corresponds to Cluster #1 and Initial Cent 2 corresponds to Cluster #2 a. If cluster membership is determined by examining the squared distance of each respondent's position from the initial cluster centers, list the respondents assigned to initial Cluster#1(5 points) b. If we iterate between re-computing the cluster centroids and re-assigning the respondents to clusters until cluster membership for the respondents does not change any more, what would be the co-ordinates of the centroids for the converged two- cluster solution? (5 points)