Question

0 0 0 0 0 0 0 0 0 0 0 0 67 82 83 95...

0
0
0
0
0
0
0
0
0
0
0
0
67
82
83
95
100
149
159
181
188
203
244
262
281
289
300
310
316
331
347
367
375
389
403
454
476
479
521
527
547
567
579
628
635
650
671
719
736
1277

Find the 5 number summary of the data set shows. Identify any outliers.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1
s. no X
1 0
2 0
3 0
4 0
5 0
6 0
7 0
8 0
9 0
10 0
11 0
12 0
13 67
14 82
15 83
16 95
17 100
18 149
19 159
20 181
21 188
22 203
23 244
24 262
25 281
26 289
27 300
28 310
29 316
30 331
31 347
32 367
33 375
34 389
35 403
36 454
37 476
38 479
39 521
40 527
41 547
42 567
43 579
44 628
45 635
46 650
47 671
48 719
49 736
50 1277

from above minimum number =0

quartile 1=(n+1)/4 th value =(50+1)/4 th value =12.75 th value =0+.75*(67-0)=50.25

median =(n+1)./2 th value =25.5 th value =281+0.5*(289-281)= 285

quartile 3=3*(n+1)/4 th value =3*(50+1)/4 th value =38.25 th value =479+0.25*(521-479)=489.5

maximum value =1277

theefore 5 number summary =0 ; 50.25 ;285 ; 489.5 ;1277

here lower fence =Q1-1.5*(Q3-Q1)=50.25-1.5*(489.5-50.25)=-608.625

and upper fence =Q3+1.5*(Q3-Q1)=489.5+1.5*(489.5-50.25)=1148.375

therefore outlier is 1277

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