Mean Versus Median as Measures of Center
All of the following statements comparing the mean and the median as measures of center are true EXCEPT:
A
The arithmetic mean is often used in further statistical analyses due to its favorable algebraic properties, especially when the distribution is symmetric.
B
For symmetric distributions, the median and the mean tend to be very similar or even identical.
C
The median is preferred over the mean in skewed distributions because it is less affected by outliers.
D
The arithmetic mean is always the best measure of center, regardless of whether the distribution is symmetric or skewed.
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