1. **State the problem:** Find the median and mean of the data set: 29, 39, 28, 50. 2. **Median:** The median is the middle value when the data is ordered. 3. Order the data: 28, 29, 39, 50. 4. Since there are 4 numbers (even count), median is the average of the 2 middle numbers: 29 and 39. 5. Calculate median: $$\text{Median} = \frac{29 + 39}{2} = \frac{68}{2} = 34$$ 6. **Mean:** The mean is the sum of all values divided by the number of values. 7. Calculate sum: $$29 + 39 + 28 + 50 = 146$$ 8. Number of values: 4. 9. Calculate mean: $$\text{Mean} = \frac{146}{4} = 36.5$$ **Final answer:** Median = 34, Mean = 36.5