United Airlines isn't even the airline most likely to boot you

United Airline’s violent removal of a passenger from a Sunday flight sparked global outrage, highlighting airlines’ practices around full and overbooked flights.

While United may stand synonymous with booting (and bloodying) passengers, it’s not the major airline most likely to kick you off your flight. That dishonorable designation goes to Southwest, according to federal data released last month.

One out of every 10,000 Southwest passengers were denied boarding thanks to overbooked flights in 2016, the Department of Transportation’s Air Travel Consumer Report shows.

America’s biggest domestic carrier racked up 14,979 such denials last year, more than a third of the total 40,629 “involuntary denied boardings” served up among the dozen airlines in the report.

Here are the major airlines in the report, listed by rates of involuntary denied boardings per 10,000 passengers last year:

1. Southwest (.99)
2. JetBlue (.92)
3. American (.64)
4. Frontier(.58)
5. Spirit (.58)
6. United (.43)
7. Alaska (.40)
8. Virgin (.12)
9. Delta (.10)
10. Hawaiian (.05)

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To be clear, the odds of Southwest forcing you off an overbooked flight are the same as a toilet injuring you. (And the United flight in question wasn't overbooked, as the airline earlier claimed.) But passengers bumped involuntarily from overbooked flights are often compensated — up to 400% of your one-way fare if the airline makes you two hours late. 

Of course, many fliers will gladly give up their seat for cash if offered. Airlines had far more voluntary denied boardings than involuntary ones, according to the report, showing which airlines were most likely to pay for passengers to willingly leave their flights.

Here are the major airlines ranked by how often would-be fliers agreed to give up their seats, per every 10,000 passengers:

1. Delta (10)
2. United (7.2)
3. Southwest (5.9)
4. Spirit (5.4)
5. American (4.1)
6. Virgin (3.0)
7. Alaska (2.9)
8. Frontier (1.4)
9. JetBlue (0.5)
10. Hawaiian (0.3) 

Hawaiian Airlines, it seems, may be the airline least likely to alter your flight plans — whether you agree to it or not.

Follow Josh Hafner on Twitter: @joshhafner

► Related: United can remove you from a flight for dozens of reasons you agree to