1. **Problem (a): Find the median mass of 8 apples with masses 189, 175, 185, 192, 202, 161, 174, 196 grams.** 2. **Step 1: Arrange the masses in ascending order:** $$161, 174, 175, 185, 189, 192, 196, 202$$ 3. **Step 2: Since there are 8 values (an even number), the median is the average of the 4th and 5th values.** 4. **Step 3: Identify the 4th and 5th values:** 4th value = 185, 5th value = 189 5. **Step 4: Calculate the median:** $$\text{Median} = \frac{185 + 189}{2} = \frac{374}{2} = 187$$ 6. **Answer (a):** The median mass is 187 grams. 7. **Problem (b): Find the mass of the carrot added to a bag.** 8. **Step 1: Given the mean mass of 5 carrots is 60 g, find the total mass of these 5 carrots:** $$\text{Total mass of 5 carrots} = 5 \times 60 = 300$$ 9. **Step 2: After adding one carrot, the mean mass of 6 carrots is 65 g, so total mass of 6 carrots is:** $$6 \times 65 = 390$$ 10. **Step 3: Calculate the mass of the added carrot by subtracting the original total mass from the new total mass:** $$\text{Mass of added carrot} = 390 - 300 = 90$$ 11. **Answer (b):** The mass of the carrot added is 90 grams.