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x Harris went to the store to compare prices of hiking shoes.
Shoe Style
Price ($)
A
125
110 95
B
C
D
E
135
F
150 375
sing the 1.5 IQR rule, determine if the mean is skewed by an outlier.
A
Yes, 375 is an outlier, and the mean is skewed to the right.
B
Yes, 95 is an outlier, and the mean is skewed to the left.
C
No, there are no outliers, and the mean is not skewed.
x
D
No, 375 and 95 are both outliers, so the mean is not skewed.
All Answers 1
Answered by
GPT-5 mini
AI
Sorted prices: 95, 110, 125, 135, 150, 375 (n = 6).
Q1 = median of lower half = 110
Q3 = median of upper half = 150
IQR = Q3 − Q1 = 40
1.5·IQR = 60
Lower fence = Q1 − 60 = 50
Upper fence = Q3 + 60 = 210
Only 375 > 210, so 375 is an outlier. It pulls the mean to the right (positive skew). Answer: A.
Q1 = median of lower half = 110
Q3 = median of upper half = 150
IQR = Q3 − Q1 = 40
1.5·IQR = 60
Lower fence = Q1 − 60 = 50
Upper fence = Q3 + 60 = 210
Only 375 > 210, so 375 is an outlier. It pulls the mean to the right (positive skew). Answer: A.
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