In 1961, the Texas Rangers, formerly known as the Washington Senators, became a professional baseball team, and since then, they have been a member of the American League. There have been eight different postseason appearances for the Rangers over their 61 seasons as a team (50 of those have been in Arlington).
1963
The 1963 Season was the worst in the team franchise with the number of win-lose ratios recorded by the team.They finished with a record of 56 wins and 106 loses to finish 10th in the American League in 1963 season
Season Standings
American League W L Pct. GB Home Road
New York Yankees 104 57 0.646 — 58–22 46–35
Chicago White Sox 94 68 0.580 10½ 49–33 45–35
Minnesota Twins 91 70 0.565 13 48–33 43–37
Baltimore Orioles 86 76 0.531 18½ 48–33 38–43
Cleveland Indians 79 83 0.488 25½ 41–40 38–43
Detroit Tigers 79 83 0.488 25½ 47–34 32–49
Boston Red Sox 76 85 0.472 28 44–36 32–49
Kansas City Athletics 73 89 0.451 31½ 36–45 37–44
Los Angeles Angels 70 91 0.435 34 39–42 31–49
Washington Senators 56 106 0.346 48½ 31–49 25–57