Question

Case 1 Instruction (Accounting Application) Use the MS Excel tabular graphical methods of descriptive statistics to summarize the sample data in the data set named PelicanStores in Case 1 folder. The managerial report should contain summaries such as:

1. A frequency and relative frequency distributions for the methods of payment (different cards). (20%)

2. Mean, median, first quartile, third quartile, and sample standard deviation for net sales from regular customers. (20%)

3. Mean, median, first quartile, third quartile, and sample standard deviation for net sales from married female. (20%)

4. Apply the location method to calculate the 60th percentile manually of net sales for each method (card) of payment. Please indicate which card has the highest 60th percentile and show the process. (20%)

5. Apply Chebyshev’s Theorem to calculate the range (i.e. $ to $) of at least 75% of the net sales must fall within for the Proprietary Card payment. (20%) (Hint: What is the z-score for at least 75% of data range?)

Customer	Type of Customer	Items	Net Sales	Method of Payment	Gender	Marital Status	Age
1	Regular	1	39.50	Discover	Male	Married	32
2	Promotional	1	102.40	Proprietary Card	Female	Married	36
3	Regular	1	22.50	Proprietary Card	Female	Married	32
4	Promotional	5	153.50	Proprietary Card	Female	Single	28
5	Regular	2	54.00	MasterCard	Female	Married	34
6	Regular	1	44.50	MasterCard	Female	Married	44
7	Promotional	2	78.00	Proprietary Card	Female	Married	30
8	Regular	1	22.50	Visa	Female	Married	40
9	Promotional	2	56.52	Proprietary Card	Female	Married	46
10	Regular	1	44.50	Proprietary Card	Female	Married	36
11	Regular	1	107.40	MasterCard	Female	Single	48
12	Promotional	1	31.60	Proprietary Card	Female	Married	40
13	Promotional	9	160.40	Visa	Female	Married	40
14	Promotional	2	64.50	Visa	Female	Married	46
15	Regular	1	49.50	Visa	Male	Single	24
16	Promotional	2	71.40	Proprietary Card	Male	Single	36
17	Promotional	3	94.00	Proprietary Card	Female	Single	22
18	Regular	3	54.50	Discover	Female	Married	40
19	Promotional	2	38.50	MasterCard	Female	Married	32
20	Promotional	6	44.80	Proprietary Card	Female	Married	56
21	Promotional	1	31.60	Proprietary Card	Female	Single	28
22	Promotional	4	70.82	Proprietary Card	Female	Married	38
23	Promotional	7	266.00	American Express	Female	Married	50
24	Regular	2	74.00	Proprietary Card	Female	Married	42
25	Promotional	2	39.50	Visa	Male	Married	48
26	Promotional	1	30.02	Proprietary Card	Female	Married	60
27	Regular	1	44.50	Proprietary Card	Female	Married	54
28	Promotional	5	192.80	Proprietary Card	Female	Single	42
29	Regular	3	71.20	Visa	Male	Married	48
30	Promotional	1	18.00	Proprietary Card	Female	Married	70
31	Promotional	2	63.20	MasterCard	Female	Married	28
32	Regular	1	75.00	Proprietary Card	Female	Married	52
33	Promotional	3	77.69	Visa	Female	Single	26
34	Regular	1	40.00	Proprietary Card	Female	Married	34
35	Promotional	5	105.50	MasterCard	Female	Married	56
36	Regular	1	29.50	MasterCard	Male	Single	36
37	Regular	2	102.50	Visa	Female	Single	42
38	Promotional	6	117.50	Proprietary Card	Female	Married	50
39	Promotional	5	13.23	Proprietary Card	Male	Married	44
40	Regular	2	52.50	Proprietary Card	Female	Married	58
41	Promotional	13	198.80	Proprietary Card	Female	Married	42
42	Promotional	4	19.50	Visa	Female	Married	46
43	Regular	2	123.50	Proprietary Card	Female	Married	48
44	Promotional	1	62.40	Proprietary Card	Male	Married	54
45	Promotional	2	23.80	Discover	Male	Married	38
46	Promotional	2	39.60	Proprietary Card	Female	Married	60
47	Regular	1	25.00	MasterCard	Female	Married	46
48	Promotional	3	63.64	Proprietary Card	Female	Married	30
49	Promotional	1	14.82	Proprietary Card	Female	Married	32
50	Promotional	9	145.20	MasterCard	Female	Married	46
51	Promotional	6	176.62	Proprietary Card	Female	Married	38
52	Promotional	5	118.80	Proprietary Card	Male	Married	68
53	Regular	1	58.00	Discover	Female	Single	78
54	Regular	2	74.00	Visa	Female	Single	20
55	Regular	2	49.50	MasterCard	Female	Married	32
56	Promotional	3	141.60	Proprietary Card	Female	Married	38
57	Promotional	6	123.10	Proprietary Card	Female	Married	54
58	Promotional	2	80.40	Discover	Female	Married	48
59	Promotional	4	65.20	MasterCard	Female	Married	46
60	Regular	4	113.00	American Express	Male	Single	50
61	Promotional	1	108.80	Proprietary Card	Female	Married	46
62	Promotional	3	59.91	Discover	Female	Single	30
63	Promotional	5	53.60	Proprietary Card	Male	Married	54
64	Promotional	1	31.60	Proprietary Card	Female	Single	42
65	Promotional	2	49.50	Visa	Male	Married	48
66	Promotional	1	39.60	Proprietary Card	Female	Married	62
67	Promotional	2	98.60	Visa	Female	Single	34
68	Promotional	5	146.80	Proprietary Card	Female	Married	28
69	Promotional	2	47.20	Visa	Male	Married	46
70	Promotional	8	95.05	Proprietary Card	Female	Married	54
71	Promotional	5	155.32	Proprietary Card	Female	Married	30
72	Promotional	4	58.00	MasterCard	Female	Married	32
73	Regular	1	69.00	Proprietary Card	Female	Single	22
74	Promotional	2	46.50	American Express	Female	Married	32
75	Promotional	2	45.22	Proprietary Card	Female	Married	74
76	Promotional	4	84.74	American Express	Female	Married	62
77	Regular	2	39.00	Proprietary Card	Female	Married	42
78	Promotional	4	111.14	Proprietary Card	Female	Married	28
79	Promotional	3	86.80	Proprietary Card	Female	Married	38
80	Regular	2	89.00	Discover	Female	Married	54
81	Promotional	2	78.00	MasterCard	Female	Married	68
82	Promotional	6	53.20	Proprietary Card	Female	Single	30
83	Promotional	4	58.50	Visa	Female	Married	36
84	Promotional	3	46.00	Proprietary Card	Female	Married	44
85	Regular	2	37.50	Visa	Female	Married	44
86	Promotional	1	20.80	Proprietary Card	Female	Married	62
87	Regular	6	144.00	MasterCard	Female	Single	48
88	Regular	4	107.00	Proprietary Card	Female	Married	36
89	Promotional	1	31.60	Proprietary Card	Female	Single	20
90	Promotional	6	57.60	Proprietary Card	Female	Married	42
91	Promotional	4	105.73	American Express	Male	Married	54
92	Regular	1	44.85	American Express	Male	Married	65
93	Regular	5	159.75	Proprietary Card	Female	Married	72
94	Promotional	17	229.50	Proprietary Card	Female	Married	30
95	Regular	3	66.00	American Express	Female	Married	46
96	Regular	1	39.50	MasterCard	Female	Married	44
97	Promotional	9	253.00	Proprietary Card	Female	Married	30
98	Regular	10	287.59	American Express	Male	Single	44
99	Promotional	2	47.60	Proprietary Card	Female	Married	30
100	Promotional	1	75.42	Proprietary Card	Male	Single	28

Answer 1

The frequency distribution for the method of payment:

Method_of_Payment	Frequency	Relative Frequency
American Express	8	0.08
Discover	7	0.07
MasterCard	15	0.15
Proprietary Card	55	0.55
Visa	15	0.15
	Total = 100	1

2) The Summary Statistics for Net Sales is,(overall data)

Minimum = 13.23

Maximum = 287.59

Mean = 80.25

Median = 2'nd Quirtile = 63.42

1'st Quirtile = 44.50

3'rd Quirtile = 105.56

Statndard Deviation = 55.58492

3) The Summary Statistics for Net Sales is,(for married female data)

Minimum = 14.82

Maximum = 266.00

Mean = 81.05

Median = 2'nd Quirtile = 63.42

1'st Quirtile = 44.50

3'rd Quirtile = 106.62

Statndard Deviation = 56.54763

60th Quartile for each method of payment:

Method_of_Payment	60th Quartile
Discover	74.4
Proprietary Card	74.4
MasterCard	74.4
Visa	74.4
American Express	74.4

From the above table, each method has the same quartile.