Question

mean 94.6129

standard devition is 45

q1 is 67

q3 is 138

data set

10

19

35

39

41

56

67

67

69

73

75

78

81

82

83

83

84

91

92

94

123

125

137

138

140

142

150

152

161

163

183

a) for q1 and q3 give the position of each in the list-use the TI method

b) scores required for both mild and extreme outliers- indicate if there are any

Answer 1

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.