If the mean weight of 4 backfield members on the football team is 238 lb and the mean weight of the 7 other players is 194 lb, what is the mean weight of the 11-person team?

To find the mean weight of the entire 11-person team, we first need to find the total weight of all 11 players.

The total weight of the 4 backfield members is 4 * 238 lb = <<4*238=952>>952 lb.

The total weight of the 7 other players is 7 * 194 lb = <<7*194=1358>>1358 lb.

Therefore, the total weight of the 11-person team is 952 lb + 1358 lb = <<952+1358=2310>>2310 lb.

The mean weight of the 11-person team is then 2310 lb / 11 players = <<2310/11=210>>210 lb. Answer: \boxed{210}.