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?
