When examining the central tendency of a probability distribution, u.pdf
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The mean and median of a probability distribution coincide when the distribution is symmetric, making an indifferent choice between the two. In contrast, when the distribution is skewed or contains outliers, the median is preferred as it is unaffected by extreme values. Thus, the choice depends on the shape of the distribution.
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When examining the central tendency of a probability distribution, u.pdf
- 1. When examining the central tendency of a probability distribution, under what circumstance would you be indifferent to using the median vs the mean? Solution If distribution is symmetric, then mean and median would coincide, and we would be indifferent. If distribution is skewed, or has outliers, we prefer median because it is not affected by extreme values.