1. The problem asks to find the mean (average) of the numbers 25, 36, 34, 17, 22, 31, and 38. 2. The formula for the mean of a set of numbers is: $$\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Number of values}}$$ 3. First, add all the numbers: $$25 + 36 + 34 + 17 + 22 + 31 + 38 = 203$$ 4. Count how many numbers there are: There are 7 numbers. 5. Now, divide the sum by the number of values: $$\text{Mean} = \frac{203}{7} = 29$$ 6. So, the mean of the given numbers is 29.