a)
Data_Set | Positions of quartile |
10 |
|
19 |
|
35 |
|
39 |
|
41 |
|
56 |
|
67 |
|
67 | q1 |
67 |
|
69 |
|
73 |
|
75 |
|
78 |
|
81 |
|
82 |
|
83 |
|
83 |
|
84 |
|
91 |
|
92 |
|
94 |
|
123 |
|
125 |
|
137 |
|
138 |
q3 |
140 |
|
142 |
|
150 |
|
152 |
|
161 |
|
163 |
|
183 |
b)
Interquartile range (IQR)=q3-q1= 71
Lower whisker=q1-1.5*IQR=67-1.5*71=-39.5
Upper whisker=q3+1.5*IQR=244.5
In this data set, all the values fall within the lower and upper whisker. Hence, scores do not indicate any mild and extreme outliers.
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