Given is the following two-dimensional data set:

x 3 6 8 1 2 2 6 6 7 7 8 8

y 5 2 3 5 4 6 1 8 3 6 1 7

a)Illustrate the data points graphically

b)Calculate the individual iteration steps of the k-means clustering algorithm with = 3. Use the first three data points as starting points for the centroids and track the changes in centroids and cluster assignments graphically