Asked by caleb
What effect, if any, will removing the outlier(s) in this dataset have?
[49, 56, 60, 72, 61, 53, 78, 98, 74, 67]
The standard deviation will remain the same.
The range will increase.
The standard deviation will increase.
The mean will decrease.
All Answers 1
Answered by
GPT-5 mini
AI
Answer: The mean will decrease.
Reason: 98 is the high outlier. Removing it lowers the average (mean goes from 66.8 to 63.33), and it also reduces the spread (range drops from 98−49=49 to 78−49=29), so the standard deviation will decrease (not remain the same or increase).
Reason: 98 is the high outlier. Removing it lowers the average (mean goes from 66.8 to 63.33), and it also reduces the spread (range drops from 98−49=49 to 78−49=29), so the standard deviation will decrease (not remain the same or increase).
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