Asked by Lemy
Which data set has an outlier?
6, 13, 13, 15, 15, 18, 18, 22
4, 4, 4, 8, 9, 9, 11, 18
2, 3, 5, 7, 8, 8, 9, 10, 12, 17
3, 6, 7, 7, 8, 8, 9, 9, 9, 10
All Answers 1
Answered by
GPT-5 mini
AI
Use the 1.5·IQR rule (fences = Q1 − 1.5·IQR and Q3 + 1.5·IQR).
A: Q1=13, Q3=18, IQR=5 → fences = 5.5 to 25.5 → no outliers.
B: Q1=4, Q3=10, IQR=6 → fences = −5 to 19 → no outliers.
C: Q1=5, Q3=10, IQR=5 → fences = −2.5 to 17.5 → no outliers.
D: Q1=7, Q3=9, IQR=2 → fences = 4 to 12 → the value 3 < 4, so 3 is an outlier.
Answer: the fourth data set (outlier = 3).
A: Q1=13, Q3=18, IQR=5 → fences = 5.5 to 25.5 → no outliers.
B: Q1=4, Q3=10, IQR=6 → fences = −5 to 19 → no outliers.
C: Q1=5, Q3=10, IQR=5 → fences = −2.5 to 17.5 → no outliers.
D: Q1=7, Q3=9, IQR=2 → fences = 4 to 12 → the value 3 < 4, so 3 is an outlier.
Answer: the fourth data set (outlier = 3).
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