Final answer:
The mean hourly snowfall, calculated by dividing the total snow accumulation of 11 centimeters over 6 hours, is 11/6 centimeters per hour or 1 5/6 centimeters per hour as a mixed number.
Step-by-step explanation:
First, we need to determine the total snow accumulation and the number of hours over which it occurred. The snowfall at 5pm was 3 centimeters, and at 11pm it was 14 centimeters. Thus, the total snow accumulation over this period is 14 centimeters - 3 centimeters = 11 centimeters. The time elapsed from 5pm to 11pm is 6 hours.
Now, we can calculate the mean hourly snowfall by dividing the total snowfall by the number of hours. So, the mean hourly snowfall is 11 centimeters ÷ 6 hours. In simplest form, this fraction is 11/6 centimeters per hour, or as a mixed number, 1 5/6 centimeters per hour.