Draw diagrams to show how K-Means works for data sample 1 in Table 1 with the initial cluster centers in Table 2. Identify 3 problems with such KMeans implementation and give your solutions.

Table 1 Data Sample 1 Table 2 Cluster Center Attribute 1 Attribute 2 Cluster centre mu1 mu2 1 9 3 4 Instance 3 2 3 4 5 6 7 8 9 10 Attribute 1 3 3 3 4 4 5 5 7 7 8 Attribute 2 4 6 8 5 7 1 5 3 5 5 Table 3 Data Sample 2 Instance Attribute 1 1 Y 2 N 3 Y Attribute 2 N Y N Attribute 3 Y N N Table 1 Data Sample 1 Table 2 Cluster Center Attribute 1 Attribute 2 Cluster centre mu1 mu2 1 9 3 4 Instance 3 2 3 4 5 6 7 8 9 10 Attribute 1 3 3 3 4 4 5 5 7 7 8 Attribute 2 4 6 8 5 7 1 5 3 5 5 Table 3 Data Sample 2 Instance Attribute 1 1 Y 2 N 3 Y Attribute 2 N Y N Attribute 3 Y N N