Ben Derby is a highly paid scout for a professional baseball team. He attends at least five or six Major League Baseball games a week and watches as many recorded games as he can in order to evaluate potential players for his team. He also keeps detailed records about each perspective player. His team is now seeking to add another hitter to its roster next season. Luckily, Ben has information on 144 hitters in the league who have played at least 100 games during the last season. The accompanying table shows a portion of the data. Variables include the player number (Player), the number of games played (G), at bats (AB), runs (R), hits (H), homeruns (HR), runs batted in (RBI), batting average (AVG), on base percentage (OBP), and slugging percentage (SLG). 

Use agglomerative clustering to group the 144 players into three clusters using all variables except Player. Standardize the variables and use the Euclidean distance and single linkage clustering method. How many players are in each cluster? Describe the characteristics of each cluster using the average values of the variables.

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Player 1 2 I 144 G AB 140 558 127 405 I I 129 471 ⠀ SLG 0.497 0.451 ⠀ 0.516