A) Find the following. Give your answers in 2-decimal places. IQR = Q3+1.5 IQR= Q1-1.5 IQR= B) Are There are outliers in this data set?

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A) Find the following. Give your answers in 2-decimal places.

IQR =


Q3+1.5 IQR=
Q1-1.5 IQR=

B) Are There are outliers in this data set?

Consider the following data set:
18
21
22
26
32
35
38
41
43
49
50
54
57
59
63
67
71
73
75
80
82
87
92
93
95
99
103
109
111
111
113
117
119
123
123
127
129
134 140
141
Transcribed Image Text:Consider the following data set: 18 21 22 26 32 35 38 41 43 49 50 54 57 59 63 67 71 73 75 80 82 87 92 93 95 99 103 109 111 111 113 117 119 123 123 127 129 134 140 141
Expert Solution
Given data,
  • The data is:

18,21, 22, 36, 32, 35, 38, 41, 43, 49, 50, 54, 57, 59, 63, 67, 71, 73, 75, 80, 82, 87, 92, 93, 95, 99, 103, 109, 111, 111, 113, 117, 119, 123, 123, 127, 129, 134, 140, 141

Step 1

Arrange the data in ascending form,

18,21, 22, 36, 32, 35, 38, 41, 43, 49, 50, 54, 57, 59, 63, 67, 71, 73, 75, 80, 82, 87, 92, 93, 95, 99, 103, 109, 111, 111, 113, 117, 119, 123, 123, 127, 129, 134, 140, 141

a) Here, number of terms is 40 (EVEN)

Now, 

Median=n2th place value+n2+1th place value2=20th place value+21th place value2=80+822=81

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