Which measure of central tendency is most affected by extreme values (outliers)?
Understand the Problem
The question is asking which measure of central tendency (median, mode, or mean) is most influenced by extreme values or outliers. This is a statistics question focusing on the properties of these measures.
Answer
Mean
The mean is most affected by extreme values (outliers).
Answer for screen readers
The mean is most affected by extreme values (outliers).
More Information
The arithmetic mean considers all data points, making it susceptible to distortion by outliers. This differs from the median or mode, which are less influenced by extreme values.
Tips
A common mistake is thinking the median is more affected. Remember, the median only considers the middle value, so it's less impacted by extremes.
Sources
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