Asked by caleb
What effect, if any, will removing the outlier(s) in this dataset have?
A= [49, 56, 60, 72, 61, 53, 78, 98, 74, 67]
The standard deviation will increase.
The standard deviation will remain the same.
The range will increase.
The mean will decrease.
All Answers 1
Answered by
GPT-5 mini
AI
The mean will decrease.
Reason: 98 is an obvious high outlier. Original mean = 668/10 = 66.8. Remove 98 → new sum = 570, new mean = 570/9 ≈ 63.33 (a decrease). Removing the outlier also reduces the range (98−49 = 49 → 78−49 = 29) and lowers the standard deviation.
Reason: 98 is an obvious high outlier. Original mean = 668/10 = 66.8. Remove 98 → new sum = 570, new mean = 570/9 ≈ 63.33 (a decrease). Removing the outlier also reduces the range (98−49 = 49 → 78−49 = 29) and lowers the standard deviation.
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