Apply K-Means Clustering Algorithm - Mathematics Assignment Help

Assignment Task

Apply K-means clustering algorithm to the following dataset. The distance between two data
points is measured by the Euclidean distance: the distance between points x=(x1,…,xn) and
y=(y1,…,yn) in n-dimensional space is:

Assume that the number of desired clusters k is 2. Let the algorithm choose records with RECORD 3 for cluster C1 and RECORD 6 for cluster C2 as the initial cluster centroids.
1) What are the cluster mean vectors of C1 and C2 after the first iteration?
2) What are the cluster mean vectors of C1 and C2 after the second iteration?
3) Will the algorithm terminate after the second iteration? Give your explanations.

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