1. **Problem:** Find the range of the data set given the minimum is 15 and the maximum is 65. 2. **Formula:** The range of a data set is calculated as: $$\text{Range} = \text{Maximum} - \text{Minimum}$$ 3. **Apply the formula:** $$\text{Range} = 65 - 15$$ 4. **Intermediate step with cancellation:** $$\text{Range} = \cancel{65} - \cancel{15}$$ (This step shows the subtraction of the two values.) 5. **Calculate the result:** $$\text{Range} = 50$$ 6. **Explanation:** The range tells us the spread between the smallest and largest values in the data set. Here, the data values vary by 50 units from minimum to maximum. **Final answer:** The range of the data set is **50**.