1. **State the problem:** Find the median and mean of the data set: 32, 36, 29, 28, 19, 30. 2. **Median:** The median is the middle value when the data is ordered from smallest to largest. 3. **Order the data:** 19, 28, 29, 30, 32, 36. 4. Since there are 6 numbers (even count), the median is the average of the 3rd and 4th values. 5. Calculate median: $$\text{Median} = \frac{29 + 30}{2} = \frac{59}{2} = 29.5$$ 6. **Mean:** The mean is the sum of all values divided by the number of values. 7. Calculate sum: $$32 + 36 + 29 + 28 + 19 + 30 = 174$$ 8. Calculate mean: $$\text{Mean} = \frac{174}{6} = 29$$ 9. **Final answer:** Median = 29.5, Mean = 29.