As part of the quarterly reviews, the manager of a retail store analyzes the quality of customer service based on the periodic customer satisfaction ratings (on a scale of 1 to 10 with 1 = Poor and 10 = Excellent). To understand the level of service quality, which includes the waiting times of the customers in the checkout section, he collected the data shown below on 100 customers who visited the store.

Customer Number	Wait Time (min)	Purchase Amount ($)	Customer Age	Customer Satisfaction Rating
1	2.3	436	42	7
2	2.8	408	33	6
3	3.2	432	38	5
4	3.4	431	40	5
5	3.4	456	29	6
6	4.2	537	46	4
7	3.2	456	42	5
8	1.4	430	40	8
9	6.4	663	24	3
10	7.8	839	37	4
11	6.5	659	52	5
12	9.8	836	43	2
13	5	543	56	4
14	1.8	419	35	8
15	6.1	700	39	6
16	3.4	432	44	7
17	7.8	845	33	5
18	2.8	467	42	6
19	1.2	425	46	8
20	9.5	848	50	4
21	8.2	808	55	3
22	7.6	674	35	3
23	5.4	547	52	4
24	6.7	691	38	5
25	9.6	847	53	4
26	11.4	826	48	2
27	2.1	426	52	7
28	5.6	535	32	7
29	3.7	521	43	8
30	4.9	513	44	6
31	6.4	645	53	5
32	9.3	846	52	4
33	10.6	730	51	3
34	6.5	786	53	3
35	5.4	523	46	5
36	7.6	654	36	6
37	3.2	443	48	7
38	2.4	409	54	8
39	1	400	39	6
40	0.2	418	51	7
41	2.4	498	30	6
42	5.7	532	32	5
43	6.4	663	44	7
44	6	681	39	8
45	3.7	543	54	5
46	8.7	800	51	5
47	6.9	673	45	5
48	9.8	856	43	4
49	10	756	44	4
50	9.5	854	43	6
51	6.3	672	50	6
52	7.4	698	47	7
53	2.3	434	43	7
54	4.6	544	40	4
55	4.9	523	53	6
56	5.7	546	55	6
57	7.4	676	42	8
58	6.8	662	36	6
59	9.6	1000	40	5
60	6.4	678	46	5
61	7.2	655	32	4
62	5.6	535	36	5
63	9.7	833	35	3
64	2.3	498	30	7
65	4.3	508	41	6
66	5.7	542	49	6
67	2.4	435	39	8
68	6.7	665	41	5
69	2.4	387	54	9
70	9.8	845	34	7
71	4.5	532	40	6
72	6.7	687	30	5
73	7.2	643	33	4
74	3.5	424	49	7
75	8.9	836	47	5
76	9.7	876	31	4
77	3.5	456	47	7
78	4.7	523	49	6
79	8.5	818	35	5
80	9.7	845	54	4
81	2.7	401	55	7
82	5.7	554	43	6
83	7.6	648	51	7
84	4.4	540	31	6
85	7.8	839	45	5
86	9.4	845	48	4
87	4.9	534	36	5
88	7.1	693	44	4
89	5.4	512	39	3
90	6.7	665	49	5
91	8.6	825	36	5
92	4.5	548	30	7
93	6.1	704	31	5
94	5.3	509	31	6
95	6.7	672	35	5
96	8.1	824	36	4
97	6.3	632	30	4
98	7.4	689	35	2
99	8.8	839	50	4
100	9.6	847	35	2

Using the data given, apply k-means clustering with k = 5 using Wait Time (min), Purchase Amount ($), Customer

Age, and Customer Satisfaction Rating as variables. Be sure to Normalize input data, and specify 50 iterations and

10 random starts in Step 2 of the XLMiner k-Means Clustering procedure. Analyze the resultant clusters.

What is the smallest cluster? What is the least dense cluster (as measured by the average distance in the cluster)?

What reasons do you see for low customer satisfaction ratings?