Median of Medians Puzzle

We solve a problem where, given the integers from 1-25, they are split into 5 subsets of size 5, and we find the median of the medians of each subset. What are the biggest & smallest possible values this median of medians can take? 00:00 Intro 01:11 Biggest possible value 03:58 Constructing an example 05:43 Smallest possible value 07:03 Small example