To find the mean weight of the 9-person baseball team, we can calculate the total weight of each group of players and then combine them.
-
Find the total weight of the 3 outfielders: \[ \text{Mean weight of outfielders} = 194 , \text{lb} \] \[ \text{Total weight of outfielders} = \text{Mean weight} \times \text{Number of outfielders} \] \[ \text{Total weight of outfielders} = 194 , \text{lb} \times 3 = 582 , \text{lb} \]
-
Find the total weight of the 6 other players: \[ \text{Mean weight of other players} = 233 , \text{lb} \] \[ \text{Total weight of other players} = \text{Mean weight} \times \text{Number of other players} \] \[ \text{Total weight of other players} = 233 , \text{lb} \times 6 = 1398 , \text{lb} \]
-
Combine the total weights: \[ \text{Total weight of the team} = \text{Total weight of outfielders} + \text{Total weight of other players} \] \[ \text{Total weight of the team} = 582 , \text{lb} + 1398 , \text{lb} = 1980 , \text{lb} \]
-
Calculate the mean weight of the 9-person team: \[ \text{Mean weight of the team} = \frac{\text{Total weight of the team}}{\text{Number of players}} \] \[ \text{Mean weight of the team} = \frac{1980 , \text{lb}}{9} \approx 220 , \text{lb} \]
Thus, the mean weight of the 9-person team is approximately 220 lb.
1 answer