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Answer :
The overall mean weight for all three teams, calculated by summing individual team total weights and dividing by the total number of team members, is approximately 148.69 pounds.
To calculate the overall mean weight for all three teams (A, B, and C), we must first find the total weight of each team by multiplying the mean weight by the number of members in that team. Then, we add those totals together and divide by the total number of team members.
Team A: Mean weight = 140 pounds, Members = 15.
Total weight = 140 pounds/member X 15 members = 2100 pounds.
Team B: Mean weight = 135 pounds, Members = 7.
Total weight = 135 pounds/member X 7 members = 945 pounds.
Team C: Mean weight = 160 pounds, Members = 20.
Total weight = 160 pounds/member X 20 members = 3200 pounds.
Now, add the total weights of all teams together:
2100 pounds (Team A) + 945 pounds (Team B) + 3200 pounds (Team C) = 6245 pounds
Next, combine the number of members from all teams:
15 members (Team A) + 7 members (Team B) + 20 members (Team C) = 42 members
Finally, divide the combined weight by the total number of members to find the overall mean weight:
6245 pounds / 42 members = 148.69 pounds.
Therefore, the overall mean weight for all three teams is approximately 148.69 pounds.
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