1. **State the problem:** We need to find the median and mean of the data set: 11, 6, 37, 34, 7. 2. **Find the median:** The median is the middle value when the data is ordered from smallest to largest. Order the data: 6, 7, 11, 34, 37. Since there are 5 numbers (odd count), the median is the middle one, which is the 3rd number: 11. 3. **Find the mean:** The mean is the sum of all numbers divided by the count of numbers. Sum: $$6 + 7 + 11 + 34 + 37 = 95$$ Count: 5 Mean: $$\frac{95}{5} = 19$$ 4. **Final answers:** Median = 11 Mean = 19 These values summarize the center of the data set in two different ways.