1. **State the problem:** We are given the number of winter hats owned by readers and their frequencies. We need to find the mean number of winter hats. 2. **List the data:** - 2 people have 1 hat - 1 person has 2 hats - 0 people have 3 hats (not mentioned) - 3 people have 4 hats - 2 people have 5 hats - 3 people have 6 hats 3. **Formula for mean:** $$\text{Mean} = \frac{\sum (\text{value} \times \text{frequency})}{\sum \text{frequency}}$$ 4. **Calculate the sum of values times frequencies:** $$ (1 \times 2) + (2 \times 1) + (3 \times 0) + (4 \times 3) + (5 \times 2) + (6 \times 3) = 2 + 2 + 0 + 12 + 10 + 18 = 44 $$ 5. **Calculate the total frequency:** $$ 2 + 1 + 0 + 3 + 2 + 3 = 11 $$ 6. **Calculate the mean:** $$ \text{Mean} = \frac{44}{11} = 4 $$ 7. **Answer:** The mean number of winter hats owned is **4**.