(a) Use k-means clustering with a value of k = 3 to cluster based on the Age, Income, and Children variables to reproduce the results in Appendix 4.2.

	Average distance within least dense cluster
	Minimum cluster distance to least dense cluster

(b) Repeat the k-means clustering for values of:

k = 2

	Average distance within least dense cluster
	Minimum cluster distance to least dense cluster

k = 4

	Average distance within least dense cluster
	Minimum cluster distance to least dense cluster

k = 5

	Average distance within least dense cluster
	Minimum cluster distance to least dense cluster

 

Age Female Income Married Children Car Loan Mortgage 48 17546.00 1 40 30085.10 1 3 1 51 16575.40 1 23 20375.40 1 3 57 50576.30 1 57 37869.60 1 2 22 8877.07 58 24946.60 1 37 25304.30 1 2 54 24212.10 1 66 59803.90 52 26658.80 1 44 15735.80 1 1 66 55204.70 1 36 19474.60 1 38 22342.10 1 37 17729.80 1 2 46 41016.00 1 62 26909.20 31 22522.80 1 61 57880.70 2 50 16497.30 1 2 54 38446.60 27 15538.80 22 12640.30 56 41034.00 45 20809.70 1 1 39 20114.00 1 39 29359.10 3 1 61 24270.10 1