B. Consider the following set of one-dimensional points: {6, 12, 18, 24, 30, 42, 48}.

1. a) For each of the following sets of initial centroids

   1. {18, 45}

   2. {15, 40},

   create two clusters by assigning each point to the nearest centroid, and then calculate the sum squared error for each set of two clusters after updating the centroids.

   [6 marks]

2. b) Do both sets of centroids in B(a) represent stable solutions, i.e., if the K-means algorithm is applied to this set of points using the given centroids as the starting centroids, would there be any change in the clusters generated? [3 marks]