1. **Problem statement:** The mean expenditure over 5 years (2020 to 2024) is 281720. Find the expenditure for 2024 given the expenditures for the first 4 years. 2. **Formula:** The mean (average) expenditure over 5 years is given by $$\text{Mean} = \frac{\text{Sum of expenditures over 5 years}}{5}$$ 3. **Step:** Let the expenditure for 2024 be $x$. Then, $$281720 = \frac{\text{Sum of expenditures for 2020, 2021, 2022, 2023} + x}{5}$$ 4. **Step:** Multiply both sides by 5: $$5 \times 281720 = \text{Sum of expenditures for 2020 to 2023} + x$$ $$1408600 = \text{Sum of expenditures for 2020 to 2023} + x$$ 5. **Step:** We need the sum of expenditures for 2020 to 2023. Since it is not given explicitly, assume it is known or provided in the original problem (not shown here). Suppose the sum is $S$. 6. **Step:** Then, $$x = 1408600 - S$$ 7. **Stem and leaf plot:** - The ages data are: 19, 36, 53, 65, 27, 62, 49, 48, 41, 33, 24, 51, 60, 34, 18, 35, 57, 55, 35, 20. - To complete the stem and leaf plot with stems 1 to 6: - Stem 1: leaves 8, 9 (from 18, 19) - Stem 2: leaves 0, 4, 7 (from 20, 24, 27) - Stem 3: leaves 3, 4, 5, 5, 6 (from 33, 34, 35, 35, 36) - Stem 4: leaves 1, 8, 9 (from 41, 48, 49) - Stem 5: leaves 1, 5, 7, 3 (from 51, 55, 57, 53) - Stem 6: leaves 0, 2, 5 (from 60, 62, 65) **Key:** 3 | 5 means 35 years **Final answers:** - Expenditure for 2024: $x = 1408600 - S$ - Completed stem and leaf plot: 1 | 8 9 2 | 0 4 7 3 | 3 4 5 5 6 4 | 1 8 9 5 | 1 3 5 7 6 | 0 2 5