2. The Football Bowl Subdivision (FBS) level of the National Collegiate Athletic Association (NCAA) consists of over 100 schools. Most of these school belong to one of several conferences, or collections of schools, that compete with each other on a regular basis in collegiate sports. Suppose the NCAA has commissioned a student that will propose the formation of conferences based on the similarities of the constituent schools. The file FBS contains data on schools that belong to the FBS. Each row in this file contains information on a school. The variables include football stadium capacity, latitude, longitude, athletic department revenue, endowment, and undergraduate enrollment. [a) Use k-means clustering with revenue and enrollment as the cluster variables and set the number of clusters to 10. Be sure to normalize data and set the number of clusters to 10, no limit on iterations. Provide the frequency count in each cluster and provide the standard deviation of revenue and enrollment for each cluster. Cluster Frequency 2 43 3 4 5 14 6 23 7 24 10 Cluster Standard Deviations AthleticBaxeune Cluster Enrollment 1 0 1205945624 0.1683065743 2 0.4601601213 0 3453424813 3 0 5675229106 0.2519628127 4 15 0 3478724425 03944323177 0 3979146251 0.3344707214 0 1970473825 0 2721249510 0 2001952314 0.4072456994 10 0 3701715366 0.3116432425[b) Repeat this process with 10 clusters, but change the standardization method to range. Provide the frequency and standard deviations for those clusters as you did above. Cluster | Frequency 1 2 30 3 4 5 6 7 23 10 Cluster Standard Deviations AthleticBaxeuge Cluster (S) Enrollment 0 0270123442 0 0294184699 2 0 0455935948 0 0599434457 13 0 1271211891 0 0440408252 0 0617513088 0.1417802937 5 0.0789493605 0 0618610431 6 0 0736490887 0 0522180417 7 0 0471364186 0.0435152186 0 0448423410 0 0711828720 0 0656024038 0.0716685299 10 0 0634377222 0.0392296562 [c) provide a few sentences on the differences and which you believe had led to better clustering and why