Answer:
The sum of the slam dunks made in the junior league is 1,000 slam dunks
Step-by-step explanation:
The known parameters are;
The average number of slam dunks between the sophomore basketball league members, μ₁ = 20
The average number of slam dunks between the sophomore and junior basketball league members, μ₃ = 30
The number of members of the sophomore league, n₁ = 40
The number of members of the junior league, n₂ = 20
We get;
The sum of the scores of the sophomore league members, S₁ = μ₁ × n₁
∴ S = 20 × 40 = 800
The sum of the scores of the sophomore and junior league members combined, S₃ = (n₁ + n₂) × μ₃
∴ S₃ = (40 + 20) × 30 = 1,800
The sum of the slam dunks made by the junior league members, S₂ = S₃ - S₂
∴ S₂ = 1,800 - 800 = 1,000
∴ The sum of the slam dunks made in the junior league, S₃ = 1,000
