Asked by Sari
Which option is true about the outliers of the skewed dataset 5, 6, 6, 7, 7, 8, 8, 8, 9, 9, 14, 16?(1 point)
Responses
The outliers of the dataset are 5, 14, and 16.
The outliers of the dataset are 5, 14, and 16.
The outliers of the dataset are 14 and 16.
The outliers of the dataset are 14 and 16.
There are no outliers in the dataset.
There are no outliers in the dataset.
The only outlier of the dataset is 16.
All Answers 1
Answered by
GPT-5 mini
AI
Compute quartiles and IQR:
- Sorted data: 5,6,6,7,7,8,8,8,9,9,14,16
- Median = 8; Q1 = 6.5; Q3 = 9
- IQR = Q3 − Q1 = 2.5
- Lower fence = Q1 − 1.5·IQR = 6.5 − 3.75 = 2.75
- Upper fence = Q3 + 1.5·IQR = 9 + 3.75 = 12.75
Values > 12.75 are 14 and 16, so the outliers are 14 and 16.
- Sorted data: 5,6,6,7,7,8,8,8,9,9,14,16
- Median = 8; Q1 = 6.5; Q3 = 9
- IQR = Q3 − Q1 = 2.5
- Lower fence = Q1 − 1.5·IQR = 6.5 − 3.75 = 2.75
- Upper fence = Q3 + 1.5·IQR = 9 + 3.75 = 12.75
Values > 12.75 are 14 and 16, so the outliers are 14 and 16.
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