1. **State the problem:** Find the median and mean of the data set: 26, 1, 30, 13. 2. **Median calculation:** The median is the middle value when the data is ordered. 3. Order the data: 1, 13, 26, 30. 4. Since there are 4 numbers (even count), median is the average of the 2 middle numbers: 13 and 26. 5. Calculate median: $$\text{Median} = \frac{13 + 26}{2} = \frac{39}{2} = 19.5$$ 6. **Mean calculation:** The mean is the sum of all values divided by the number of values. 7. Sum the data: $$1 + 13 + 26 + 30 = 70$$ 8. Number of data points: 4. 9. Calculate mean: $$\text{Mean} = \frac{70}{4} = \frac{\cancel{70}}{\cancel{4}} = 17.5$$ **Final answers:** Median = 19.5, Mean = 17.5