# Modal Median

Consider the set of numbers

$\{1, 2, 2, 3, 3, 3, \ldots, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10\},$

where the number $$n$$ appears $$n$$ times for $$n=1$$ to 10. What is the (absolute value) of the difference between the mode and the median of this set?

Details and assumptions

The mode of a set is the value that appears most often. The median of a set is the middle value when the data is arranged in numerical order.

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