Step 1 :Given data is the number of on-campus burglaries reported in a given year for nine western Pennsylvania universities: 11, 2, 15, 9, 8, 13, 6, 15.
Step 2 :To find the mean, we sum up all the numbers and then divide by the count of numbers.
Step 3 :Adding all the reported burglaries together gives us \(11 + 2 + 15 + 9 + 8 + 13 + 6 + 15 = 79\).
Step 4 :We then divide this sum by the total number of universities, which is 9. So, the mean is \( \frac{79}{9} = 8.777777777777779 \).
Step 5 :Rounding to one decimal place, the mean is 8.8.
Step 6 :Final Answer: The mean is \( \boxed{8.8} \) burglaries.