1. What is the optimum number of clusters?
2. What is the range of sizes (counts) for clusters for k = 4?
3. Draw a scatter plot of Income and Age.
4. What trend do you observe in this scatter plot?
5. How many clusters would you recommend?
6. Describe characteristics of the recommended cluster

Female 1 0 1 1 1 1 0 0 Married Children 0 1 1 3 1 0 1 3 1 0 1 Loan 0 1 1 0 0 0 0 1 1 1 0 1 0 Mortgage 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 0 2 2 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 Age 48 40 51 23 57 57 22 58 37 54 66 52 44 66 36 38 37 46 62 31 61 50 54 27 22 56 45 39 39 61 0 Income 17546.00 30085.10 16575.40 20375.40 50576.30 37869.60 8877.07 24946.60 25304.30 24212.10 59803.90 26658.80 15735.80 55204.70 19474.60 22342.10 17729.80 41016.00 26909.20 22522.80 57880.70 16497.30 38446.60 15538.80 12640.30 41034.00 20809.70 20114.00 29359.10 24270.10 1 0 0 1 1 1 1 1 0 2 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 2 2 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 2 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 3 1 1 0 1 1 0 0 Female 1 0 1 1 1 1 0 0 Married Children 0 1 1 3 1 0 1 3 1 0 1 Loan 0 1 1 0 0 0 0 1 1 1 0 1 0 Mortgage 0 1 0 0 0 0 0 0 0 0 0 1 1 0 1 2 0 0 2 2 0 0 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 Age 48 40 51 23 57 57 22 58 37 54 66 52 44 66 36 38 37 46 62 31 61 50 54 27 22 56 45 39 39 61 0 Income 17546.00 30085.10 16575.40 20375.40 50576.30 37869.60 8877.07 24946.60 25304.30 24212.10 59803.90 26658.80 15735.80 55204.70 19474.60 22342.10 17729.80 41016.00 26909.20 22522.80 57880.70 16497.30 38446.60 15538.80 12640.30 41034.00 20809.70 20114.00 29359.10 24270.10 1 0 0 1 1 1 1 1 0 2 1 1 0 1 1 1 0 0 1 1 1 0 0 0 0 1 0 1 0 0 1 0 0 2 2 0 1 0 0 0 1 0 0 0 1 0 0 1 1 0 0 2 1 0 0 1 1 1 0 0 0 1 1 1 0 0 0 1 1 0 1 3 1 1 0 1 1 0 0