1. **State the problem:** We need to find the median and mean of the data set: 43, 49, 6, 5, 9. 2. **Find the median:** The median is the middle value when the data is ordered from smallest to largest. Order the data: 5, 6, 9, 43, 49. Since there are 5 numbers (odd count), the median is the middle one, which is the 3rd number. Median = 9. 3. **Find the mean:** The mean is the sum of all numbers divided by the count of numbers. Sum = 43 + 49 + 6 + 5 + 9 = 112. Count = 5. Mean = \frac{112}{5}. 4. **Simplify the mean:** Mean = 22.4. **Final answers:** Median = 9 Mean = 22.4