To find the mean water level, you need to add all the measured water levels together and then divide by the number of measurements.
The water levels over the 8 days are: 9 inches, 8 inches, 6 inches, 8 inches, 6 inches, 9 inches, 7 inches, and 3 inches.
First, add the levels together:
\[ 9 + 8 + 6 + 8 + 6 + 9 + 7 + 3 = 56 \]
Now, divide the total by the number of days (8):
\[ \text{Mean} = \frac{56}{8} = 7 \]
The mean water level is 7 inches.