A university wants to identify groups of students based on their weekly study hours and exam performance. Use Kmeans = 2

Assume the initial centroids are:

• Centroid 1: (2,60)

• Centroid 2: (8,85)

1. Calculate the Euclidean distance between Student C (4,70) and each centroid. 

2. Assign Student C to the appropriate cluster. Explain your decision.

Using the initial centroids, suppose the first assignment produces the following clusters:

• Cluster 1: A, B, C

• Cluster 2: D, E, F

1. Calculate the new centroid of Cluster 1. 

2. Calculate the new centroid of Cluster 2. 

   What characteristics distinguish the two clusters?