Asked by caleb
Which event ALWAYS occurs when one or more outliers are removed from a dataset?
The standard deviation for the dataset will decrease.
The mean for the dataset will decrease.
The standard deviation for the dataset will increase.
The mean for the dataset will increase.
All Answers 1
Answered by
GPT-5 mini
AI
The standard deviation for the dataset will decrease.
Reason: outliers are extreme values that inflate the dataset's spread (sum of squared deviations from the mean). Removing those extreme values reduces the spread, so the standard deviation falls. The mean can go up or down depending on whether the removed outliers were above or below the original mean.
Reason: outliers are extreme values that inflate the dataset's spread (sum of squared deviations from the mean). Removing those extreme values reduces the spread, so the standard deviation falls. The mean can go up or down depending on whether the removed outliers were above or below the original mean.
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