Question

In: Statistics and Probability

Science MajorsA bank has collected data on the opening balances of new home loans issued in...

Science MajorsA bank has collected data on the opening balances of new home loans issued in the final quarter of 2018. The dataset of 200 observations is contained in the file: Home Loans (THA 1).xlsx. Based on the data, answer the following questions.

An observation is a suspected outlier if it is more than 1.5 times the inter-quartile range (1.5 ´IQR)below Q1 or above Q3. Calculate the lower and upper ‘fences’ for this data and report the total number outliers in the dataset.

Obs Home Loan, Open. Bal.
1 544,723
2 686,461
3 422,582
4 373,228
5 369,600
6 353,011
7 259,339
8 236,532
9 496,713
10 1,052,824
11 454,077
12 806,701
13 482,691
14 920,000
15 444,720
16 780,000
17 377,858
18 366,611
19 283,918
20 216,536
21 291,182
22 776,145
23 375,723
24 403,552
25 342,989
26 191,632
27 800,350
28 268,200
29 519,466
30 293,192
31 414,739
32 352,222
33 258,587
34 228,633
35 329,476
36 324,013
37 239,375
38 489,659
39 279,174
40 457,456
41 409,731
42 1,332,051
43 367,738
44 331,450
45 364,676
46 472,790
47 332,199
48 525,831
49 393,803
50 291,081
51 469,585
52 363,128
53 360,221
54 290,435
55 452,734
56 493,088
57 362,044
58 232,913
59 367,991
60 451,662
61 495,394
62 473,753
63 245,583
64 212,484
65 495,633
66 348,539
67 380,756
68 395,000
69 554,626
70 346,094
71 482,000
72 279,040
73 431,405
74 712,740
75 479,868
76 632,612
77 334,365
78 290,458
79 583,572
80 311,145
81 406,683
82 234,646
83 236,695
84 239,475
85 877,764
86 559,089
87 278,475
88 1,005,103
89 341,572
90 235,907
91 347,033
92 452,277
93 542,540
94 859,707
95 426,113
96 451,640
97 275,643
98 461,818
99 273,911
100 332,744
101 625,000
102 313,953
103 246,979
104 556,798
105 223,566
106 434,694
107 330,051
108 528,349
109 296,459
110 673,742
111 255,977
112 497,893
113 173,452
114 364,564
115 423,801
116 412,745
117 344,350
118 375,594
119 576,789
120 384,224
121 454,949
122 429,826
123 372,453
124 375,593
125 502,794
126 426,347
127 448,161
128 223,132
129 459,372
130 522,012
131 297,186
132 343,947
133 648,363
134 121,147
135 288,658
136 269,492
137 1,310,311
138 167,636
139 377,545
140 564,538
141 1,113,770
142 442,390
143 258,433
144 433,609
145 256,726
146 249,058
147 258,709
148 244,828
149 581,815
150 344,052
151 331,641
152 303,224
153 328,384
154 187,425
155 312,951
156 476,582
157 951,336
158 284,487
159 400,050
160 536,902
161 439,255
162 266,541
163 263,611
164 442,662
165 557,690
166 375,426
167 337,402
168 240,806
169 367,070
170 621,110
171 317,486
172 266,651
173 466,251
174 304,040
175 297,971
176 199,448
177 340,568
178 236,054
179 500,615
180 187,737
181 330,010
182 1,340,394
183 365,058
184 396,187
185 375,523
186 435,712
187 426,242
188 407,575
189 301,040
190 380,631
191 280,846
192 393,315
193 217,536
194 457,019
195 180,584
196 636,068
197 247,106
198 1,458,183
199 434,295
200 462,356

Solutions

Expert Solution

Sol:

paste the data in excel and use below formula to get the quartiles

Q1=

=QUARTILE(A2:A201;1)

=290925.25

Q2=

=QUARTILE(A3:A202;2)

=375558

Q3=

=QUARTILE(A2:A201;3)

=474460.25

IQR=Q3-Q1=183535

LOWER FENCE

Q1-1.5IQR=290925.25-1.5*183535=15622.75

Q3+1.5IQR=474460.25+1.5*183535=749762.8

any value below 15622.75 is an outlier

and any value above 749762.8 is an outlier

get the boxlot in excel as

select the data

go to insert>boxand whisker

there are 12 outliers seen from boplot which we can see above upper fence,

orchestra answered 2 years ago
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