What is the impact of outliers on mean, median, and mode?
An example of an AI chatbot conversation about the effects of outliers on statistical measures.
What is the impact of outliers on mean, median, and mode?
Outliers can significantly affect the mean, pulling it towards their value, while the median remains more stable.
Can you give an example of how an outlier affects these measures?
Sure! If we have the data set {1, 2, 2, 3, 100}, the mean is 21.6, but the median is 2, showing how the outlier (100) skews the mean.
What about the mode? Does it change with outliers?
The mode, which is the most frequently occurring value, remains unchanged by outliers. In the example, the mode is 2.
So, should we remove outliers when analyzing data?
It depends on the context. If outliers are errors, they should be removed, but if they are valid data points, they can provide valuable insights.
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