4) (20 points) Apply k-means algorithm to data given below for k = 2. Assume that at first, clusters are C;={X1, X2, Xa} and Cz={X3, X3}. The distance function is Manhattan distance. Data objects Variable-1 Variable-2 X 4 2 X2 6 4 X3 5 1 X4 10 6 Xs 11 8 a) (10 points) Show the steps of the algorithm. b) (10 points) Show clusters on the plot