1. **State the problem:** We need to find the mean number of magazines purchased by six customers with purchases: 1, 7, 3, 2, 3, and 4. 2. **Add all the purchases together:** $$1 + 7 + 3 + 2 + 3 + 4 = 20$$ 3. **Count the total number of customers:** 6. 4. **Calculate the mean using the formula:** $$\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}} = \frac{20}{6}$$ 5. **Simplify the fraction and calculate:** $$\frac{20}{6} = 3.33$$ 6. **Conclusion:** The mean number of magazines purchased is 3.33.