1. (30 points) K-means. You will use the data in Table 1. Note that position is a discrete (not continuous) variable. To make things easy for K-means assume that defenders (d) have a value of 50; forwards (f) have a value of 0; and goaltenders (g) have a value of 100 Table 1: Training data for K-means Player Height (cm) Weight (kg) Position Career Points 201 176 184 182 181 185 186 166 189 185 109 350 92 104 250 50 20 150 600 1000 10 104 83 122 (a) (5 points) Show one round of K-means clustering, with K 3, using (b) (10 points) Show one round of K-means clustering, with K = 3, using (c) (10 points) Show one round of K-means clustering - with K-3 - using only the height variable. only the height and weight variables height, weight, and position