1. **State the problem:** We have 12 bags of apples with a mean of 8 apples per bag. The frequencies of apples in 11 bags are given. We need to find the number of apples in the 12th bag. 2. **Calculate the total number of apples in all 12 bags:** The mean number of apples per bag is 8, so total apples are: $$\text{Total apples} = 12 \times 8 = 96$$ 3. **Calculate the total apples in the 11 bags using the frequency table:** Number of apples | Frequency | Total apples 6 | 1 | $6 \times 1 = 6$ 7 | 4 | $7 \times 4 = 28$ 8 | 2 | $8 \times 2 = 16$ 9 | 3 | $9 \times 3 = 27$ 10 | 1 | $10 \times 1 = 10$ Summing these: $$6 + 28 + 16 + 27 + 10 = 87$$ 4. **Calculate apples in the 12th bag:** Subtract the total apples in 11 bags from the total apples in all 12 bags: $$\text{Apples in 12th bag} = 96 - 87 = 9$$ **Final answer:** The 12th bag contains **9 apples**.