The accompanying data set contains three numerical variables,x₁,x₂,andx₃,and one categorical variablex₄.

a.How many observations havex₄values that are less than 3?

b.Sort the data byx₁in ascending order. What are thex₁,x₂,x₃,andx₄values of the first observation after the data are sorted?(Forx₁, round your answer to four decimal places.)

c.Sort the data byx₁in descending order. What are thex₁,x₂,x₃,andx₄values of the first observation after the data are sorted?(Forx1, round your answer to four decimal places.)

d.How many missing values are there inx₁,x₂,x₃,andx₄?

e.How many observations are there in each category inx₄?

Observation	x1	x2	x3	x4
1			1
2	0.198204	78	23	3
3	0.889328	93	28	1
4	0.749451	69	3	2
5	0.177342	89	30	3
6	0.012147	200	2	2
7	0.472022	88	3	2
8	0.324359	130	9	2
9	0.66549	91	9	3
10	0.841066	12	29	1
11	0.586955	165	2	2
12	0.635197	38	16	1
13	0.661178	13	34	1
14	0.911021	153	9	1
15	0.738386	54	11	1
16	0.299453	46	36	2
17	0.01564	21	25	2
18	0.716167	78	27	2
19	0.861828	19	33	1
20	0.603775	24	27	2
21	0.534592	6	35	2
22	0.655591	188	13	2
23	0.745303	121	37	3
24	0.414295	175	8	2
25	0.403006	45	1	1
26	0.290328	17	5	3
27	0.257465	117	7	2
28	0.409903	119	18	2
29	0.52604	153	37	2
30	0.086082	104	9	2
31	0.603168	197	1	3
32	0.401119	120	10	2
33	0.366434	53	24	1
34	0.577281	140	28	2
35	0.626003	91	31	3
36	0.861281	172	11	3
37	0.41769	49	3	1
38	0.83214	80	3	2
39	0.134598	93	12	3
40	0.409094	125	16	1
41	0.376511	181	25	3
42	0.389623	48	16	1
43	0.368733	198	33	3
44	0.481505	196	2	2
45	0.997994	196	13	3
46	0.250952	51	19	2
47	0.581109	97	33	3
48	0.146668	94	23	1
49	0.514017	70	31	3
50	0.435961	81	30	2
51	0.821136	9	29	2
52	0.389114	61	10	1
53	0.626565	81	38	2
54	0.822334	11	12	2
55	0.657946	39	36	3
56	0.112325	117	2	1
57	0.574682	189	37	1
58	0.669919	160	3	2
59	0.320135	186	13	3
60	0.788389	16	21	1
61	0.589061	179	30	2
62	0.502735	89	18	2
63	0.785451	2	24	1
64	0.036723	156	35	2
65	0.790702	177	12	2
66	0.795901	164	20	1
67	0.441254	191	20	3
68	0.223153	188	37	1
69	0.856265	38	14	3
70	0.425219	31	12	3
71	0.304872	159	38	2
72	0.706185	131	29	3
73	0.913847	143	1	3
74	0.108156	11	35	1
75	0.546046	17	27	3
76	0.641991	116	13	3
77	0.78815	16	10	1
78	0.292203	146	1	3
79	0.586795	129	22	1
80	0.323373	22	25	2
81	0.941049	159	31	1
82	0.426494	89	35	2
83	0.74748	173	1	2
84	0.234671	140	6	3
85	0.024693	197	25	1
86	0.487175	142	28	2
87	0.973727	136	12	3
88	0.430533	84	39	3
89	0.435098	24	22	1
90	0.689179	72	28	2
91	0.496244	107	23	1
92	0.726522	22	8	2
93	0.241685	169	3	1
94	0.179239	181	15	1
95	0.269464	79	30	2
96	0.701412	5	20	1
97	0.702371	153	4	2
98	0.258309	29	8	2
99	0.218014	71	5	1
100	0.425147	108	37	2
101	0.870912	155	21	2
102	0.795872	79	10	2
103	0.019078	17	15	1
104	0.621474	162	39	1
105	0.85186	151	5	3
106	0.244578	113	14	2
107	0.065997	134	33	2
108	0.107962	189	17	3
109	0.558149	79	34	1
110	0.662779	154	20	3
111	0.350971	178	14	3
112	0.719686	50	13	1
113	0.74039	10	7	2
114	0.226235	39	15	1
115	0.23391	63	11	3
116	0.173195	33	7	1
117	0.37758	160	13	1
118	0.121562	162	27	1