Some more original research.
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World Series Team Run-Scoring Records (1903-2009)
1918: Boston Red Sox (AL) def. Chicago Cubs (NL), 4 to 2 (9-10)
Fewest runs in a series: Winning team (9 runs, Red Sox)
Fewest runs per game in a series: Both teams (3.2 runs per game)
Fewest runs per game in a series: Winning team (1.5 runs per game, Red Sox)
1932: New York Yankees (AL) def. Chicago Cubs (NL), 4 to 0 (37-19)
Most runs per game in a series: Both teams (14.0 runs per game)
Most runs per game in a series: One team, Winning team (9.3 runs per game, Yankees)
1936: New York Yankees (AL) def. New York Giants (NL), 4 to 2 (43-23)
Most runs in one game: One team (18 runs, Yankees [Game 2: Yankees 18, Giants 4])
Largest margin of victory in one game (14 runs, Yankees [Game 2: Yankees 18, Giants 4])
1960: Pittsburgh Pirates (NL) def. New York Yankees (AL), 4 to 3 (27-55)
Most runs in a series: One team, Losing team (55 runs, Yankees)
Most runs per game in a series: Losing team (7.9 runs per game, Yankees)
Largest run surplus in a series: One team, Losing team (28 runs, Yankees)
Largest run surplus per game in a series: Losing team (4.0 runs per game, Yankees)
Largest margin of victory in a shutout game (12 runs, Yankees [Game 6: Yankees 12, Pirates 0])
1966: Baltimore Orioles (AL) def. Los Angeles Dodgers (NL), 4 to 0 (13-2)
Fewest runs in a series: Both teams (15 runs)
Fewest runs in a series: Losing team (2 runs, Dodgers)
Fewest runs per game in a series: One team, Losing team (0.5 runs per game, Dodgers)
1993: Toronto Blue Jays (AL) def. Philadelphia Phillies (NL), 4 to 2 (45-36)
Most runs in a series: Winning team (45 runs, Blue Jays)
Most runs in one game: Both teams (29 runs [Game 4: Blue Jays 15, Phillies 14])
Most runs in one game: Losing team (14 runs, Phillies [Game 4: Blue Jays 15, Phillies 14])
2001: Arizona Diamondbacks (NL) def. New York Yankees (AL), 4 to 3 (37-14)
Largest run surplus in a series: Winning team (23 runs, Diamondbacks)
2002: Anaheim Angels (AL) def. San Francisco Giants (NL), 4 to 3 (41-44)
Most runs in a series: Both teams (85 runs)
2007: Boston Red Sox (AL) def. Colorado Rockies (NL), 4 to 0 (29-10)
Largest run surplus per game in a series: One team, Winning team (4.8 runs per game, Red Sox)
N.B. Listed in parentheses after the win-loss result of each World Series are the total number of runs scored by the winning and losing teams, in that order.
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World Series Team Run-Scoring Records (1903-2009)
1918: Boston Red Sox (AL) def. Chicago Cubs (NL), 4 to 2 (9-10)
Fewest runs in a series: Winning team (9 runs, Red Sox)
Fewest runs per game in a series: Both teams (3.2 runs per game)
Fewest runs per game in a series: Winning team (1.5 runs per game, Red Sox)
1932: New York Yankees (AL) def. Chicago Cubs (NL), 4 to 0 (37-19)
Most runs per game in a series: Both teams (14.0 runs per game)
Most runs per game in a series: One team, Winning team (9.3 runs per game, Yankees)
1936: New York Yankees (AL) def. New York Giants (NL), 4 to 2 (43-23)
Most runs in one game: One team (18 runs, Yankees [Game 2: Yankees 18, Giants 4])
Largest margin of victory in one game (14 runs, Yankees [Game 2: Yankees 18, Giants 4])
1960: Pittsburgh Pirates (NL) def. New York Yankees (AL), 4 to 3 (27-55)
Most runs in a series: One team, Losing team (55 runs, Yankees)
Most runs per game in a series: Losing team (7.9 runs per game, Yankees)
Largest run surplus in a series: One team, Losing team (28 runs, Yankees)
Largest run surplus per game in a series: Losing team (4.0 runs per game, Yankees)
Largest margin of victory in a shutout game (12 runs, Yankees [Game 6: Yankees 12, Pirates 0])
1966: Baltimore Orioles (AL) def. Los Angeles Dodgers (NL), 4 to 0 (13-2)
Fewest runs in a series: Both teams (15 runs)
Fewest runs in a series: Losing team (2 runs, Dodgers)
Fewest runs per game in a series: One team, Losing team (0.5 runs per game, Dodgers)
1993: Toronto Blue Jays (AL) def. Philadelphia Phillies (NL), 4 to 2 (45-36)
Most runs in a series: Winning team (45 runs, Blue Jays)
Most runs in one game: Both teams (29 runs [Game 4: Blue Jays 15, Phillies 14])
Most runs in one game: Losing team (14 runs, Phillies [Game 4: Blue Jays 15, Phillies 14])
2001: Arizona Diamondbacks (NL) def. New York Yankees (AL), 4 to 3 (37-14)
Largest run surplus in a series: Winning team (23 runs, Diamondbacks)
2002: Anaheim Angels (AL) def. San Francisco Giants (NL), 4 to 3 (41-44)
Most runs in a series: Both teams (85 runs)
2007: Boston Red Sox (AL) def. Colorado Rockies (NL), 4 to 0 (29-10)
Largest run surplus per game in a series: One team, Winning team (4.8 runs per game, Red Sox)
N.B. Listed in parentheses after the win-loss result of each World Series are the total number of runs scored by the winning and losing teams, in that order.