The accompanying table shows a portion of data consisting of the January, April, July, and October average temperatures of 50 selected U.S. cities. 

a. Perform agglomerative hierarchical clustering to group the cities based on their January, April, July, and October average temperatures. Standardize the variables and use the Euclidean distance and the Ward’s clustering method to cluster the cities into three clusters. How many cities are in the largest cluster? 

b. What are the average January, April, July, and October average temperatures for the largest cluster of cities?

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City Albuquerque, N.M. Anchorage, Alaska E Washington, D.C. Jan April July Oct 35.7 55.6 78.5 57.3 15.8 36.3 58.4 34.1 E 79.2 1 34.9 ⠀ 56.1 : 58.8