1. **State the problem:** We have monthly rents for 8 people: 925, 930, 955, 1010, 1015, 1020, 1120, 1145. One rent changes from 925 to 965. We want to find how this affects the median and mean. 2. **Median before change:** Since there are 8 values (even number), median is average of 4th and 5th values. $$\text{Median} = \frac{1010 + 1015}{2} = \frac{2025}{2} = 1012.5$$ 3. **Median after change:** Replace 925 with 965 and reorder: 930, 955, 965, 1010, 1015, 1020, 1120, 1145 Median is average of 4th and 5th values: $$\text{Median} = \frac{1010 + 1015}{2} = 1012.5$$ 4. **Effect on median:** Median stays the same. 5. **Mean before change:** Sum all rents: $$925 + 930 + 955 + 1010 + 1015 + 1020 + 1120 + 1145 = 8110$$ Mean: $$\frac{8110}{8} = 1013.75$$ 6. **Mean after change:** Replace 925 with 965, new sum: $$8110 - 925 + 965 = 8150$$ New mean: $$\frac{8150}{8} = 1018.75$$ 7. **Effect on mean:** Mean increases by $$1018.75 - 1013.75 = 5$$ **Final answers:** (a) Median stays the same. (b) Mean increases by 5.