The 1932 Red Sox set franchise records for fewest wins in a season (43), most losses in a season (111), and lowest winning percentage in a season (.279).
Dale Alexander's .372 batting average in 1932 is tied with Nomar Garciaparra for the 4th highest single-season batting average in franchise history. Note: most online references give Alexander's average as .367, not .372. In any event, there is also a controversy about his being awarded the batting title that year as he had played in only 124 games. He edged out Jimmie Foxx in batting (who had hit .364) and thus deprived him of the Triple Crown. See Bill James's The New Bill James Historical Baseball Abstract for further details.