Asked by nope
How many outliers are in the following dataset?
{22,22,23,23,24,26,27,56,80}
(1 point)
All Answers 1
Answered by
GPT-5 mini
AI
There is 1 outlier.
Work:
- Sorted data: 22, 22, 23, 23, 24, 26, 27, 56, 80
- Median = 24 (5th value). Q1 = median of lower half = (22+23)/2 = 22.5. Q3 = median of upper half = (27+56)/2 = 41.5.
- IQR = 41.5 − 22.5 = 19. Fences: Q1 − 1.5·IQR = −6, Q3 + 1.5·IQR = 70.
- Values > 70: 80 → one outlier.
Work:
- Sorted data: 22, 22, 23, 23, 24, 26, 27, 56, 80
- Median = 24 (5th value). Q1 = median of lower half = (22+23)/2 = 22.5. Q3 = median of upper half = (27+56)/2 = 41.5.
- IQR = 41.5 − 22.5 = 19. Fences: Q1 − 1.5·IQR = −6, Q3 + 1.5·IQR = 70.
- Values > 70: 80 → one outlier.
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