At a NTUC FairPrice warehouse, the mean weight of 6 boxes is 8.5 kg. When the heaviest box is removed, the mean weight of the 5 remaining boxes drops to 7 kg. What is the weight of the heaviest box?
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Worked Solution
Step 1: Convert the first mean back to a total. Total weight of all 6 boxes = mean × count = 8.5 × 6 = 51 kg.
Step 2: Convert the second mean back to a total. After the heaviest box is removed, only 5 boxes remain. Total weight of the 5 remaining boxes = 7 × 5 = 35 kg.
Step 3: The heaviest box accounts for the difference between the two totals. Heaviest box = 51 − 35 = 16 kg.
Check: if we add the heaviest 16 kg back to the remaining 35 kg, we get 51 kg, and 51 ÷ 6 = 8.5 kg ✓.
Final answer: 16 kg.
Answer: 16 kg
Correct answer: 16 kg
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