The data that follow are the number of passengers on 31 different charter fishing boats.The sample mean is 8.7 passengers and the sample standard deviation is 4.6 passengers.The data follow a uniform distribution where all values between and including 0 and 16 are equally likely. Calculate the theoretical mean and standard deviation assuming that the number of passengers is uniformly distributed. Round your answers to one decimal place as needed.
a. What is the mean?
(assume that the distribution is uniformly distributed)
How does this compare to the mean of the data at 8.7 passengers?
b. What is the standard deviation? (assume that the distribution is uniformly distributed)
How does this compare to 4.6 passengers?