1. **State the problem:** We need to find the mean (average) number of doctor visits last year based on the given frequency data. 2. **Recall the formula for the mean:** $$\text{Mean} = \frac{\sum (\text{value} \times \text{frequency})}{\sum \text{frequency}}$$ 3. **List the data:** - 1 trip: 2 marks - 2 trips: 3 marks - 3 trips: 1 mark - 4 trips: 1 mark - 5 trips: 5 marks - 6 trips: 3 marks 4. **Calculate the total number of visits:** $$\sum (\text{value} \times \text{frequency}) = (1 \times 2) + (2 \times 3) + (3 \times 1) + (4 \times 1) + (5 \times 5) + (6 \times 3)$$ $$= 2 + 6 + 3 + 4 + 25 + 18 = 58$$ 5. **Calculate the total number of patients (frequency sum):** $$2 + 3 + 1 + 1 + 5 + 3 = 15$$ 6. **Calculate the mean:** $$\text{Mean} = \frac{58}{15} \approx 3.87$$ 7. **Interpretation:** On average, patients made about 3.87 doctor visits last year.