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With the most common definition of the median, as you will recall, the
median is the average of two values  whenever the number of values is
even. Therefore, the median is often itself _not_ one of the data
values, and so a median index is not always defined. Within continuous
data not too coarsely recorded, this will, I guess, happen about half
the time. That is one good reason for the lack of a median index

By the way, the concept of minimum index or maximum index is also
problematic whenever there are ties for minimum or maximum.


Zhi Su
348 Holmes Hall
Northeastern University
360 Huntington Avenue
Boston, MA 02115
email:[email protected]
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