Question

There is a very popular restaurant located along the coast of Cape Breton. It serves a variety of steak and seafood dinners. During the summer beach season, it does not take reservations. Therefore, Management is concerned about the time a patron has to wait before being seated for dinner. The table below contains the wait times for the 25 tables on a randomly selected Saturday night:

28 39 23 67 37 28 56 40 28 50 51 45 44 65 61 27 24 61 34 44 64 25 24 27 29

a) Find the mean and median of the wait times.

b) Find the range and standard deviation of wait times.

c) Find the coefficient of variation of wait times.

d) Find Pearson’s coefficient of Skewness.

Answer 1

X: wait times for the table

Arrange all observation in ascending order( small to large)

Sr.No	X	(X-Xbar)	(X-Xbar)^2
1	23	-17.84	318.27
2	24	-16.84	283.59
3	24	-16.84	283.59
4	25	-15.84	250.91
5	27	-13.84	191.55
6	27	-13.84	191.55
7	28	-12.84	164.87
8	28	-12.84	164.87
9	28	-12.84	164.87
10	29	-11.84	140.19
11	34	-6.84	46.79
12	37	-3.84	14.75
13	39	-1.84	3.39
14	40	-0.84	0.71
15	44	3.16	9.99
16	44	3.16	9.99
17	45	4.16	17.31
18	50	9.16	83.91
19	51	10.16	103.23
20	56	15.16	229.83
21	61	20.16	406.43
22	61	20.16	406.43
23	64	23.16	536.39
24	65	24.16	583.71
25	67	26.16	684.35
Total	1021		5291.36
Xbar = Total / n	40.84

.