Charleston Dry Dock does major ship repair and reconditioning. The table below shows the activity of the dry dock over the past 365 days. Specifically, the table shows the number of days there were no ships in the dry dock, the number of days the dry dock was servicing one ship, and so on.

No. of Ships in Dry Dock x                           No. of Days f(x)

0………………………………………………            14

1………………………………………………            47

2………………………………………………            71

3………………………………………………          123

4………………………………………………            82

5………………………………………………            28

                                                        Total = 365

a. Compute the mean number of ships in dry-dock per day during the past year. (Treat the data as a population.) 

b. What is the median number of ships in dry-dock per day?

c. Compute the variance and the standard deviation for the daily number of ships in dry-dock.