1. **State the problem:** We are given percentages of residents in different counties who participate in performing arts at least once a month. The percentages for counties A to H are given except for county G, which is unknown. The range of these percentages is 12.9%. 2. **Recall the formula for range:** $$\text{Range} = \text{Maximum value} - \text{Minimum value}$$ The range is the difference between the highest and lowest percentages. 3. **Identify known values:** - Maximum percentage given is for county E: 17.3% - Minimum percentage given is for counties F and H: 4.7% - Range is given as 12.9% 4. **Check if the known max and min match the range:** Calculate the difference: $$17.3 - 4.7 = 12.6$$ This is less than the given range 12.9, so either the max or min must change to accommodate the range. 5. **Determine possible values for county G:** Since the range is 12.9, the difference between the max and min must be 12.9. - If the minimum remains 4.7, then the maximum must be: $$4.7 + 12.9 = 17.6$$ But 17.6% is not in the table, so county G could be the maximum at 17.6%. - If the maximum remains 17.3, then the minimum must be: $$17.3 - 12.9 = 4.4$$ 4.4% is less than the current minimum 4.7%, so county G could be the minimum at 4.4%. 6. **Conclusion:** The percentage for county G could be either 17.6% (if it is the maximum) or 4.4% (if it is the minimum) to maintain the range of 12.9%. **Final answer:** County G's percentage could be **4.4** or **17.6**.