Median Center of Population for the United States - Each of the 4 quadrants has 1/4 of the US population
(upload.wikimedia.org)
Not necessarily. For example north east could have 3 people, north west 4 people, south west 3 people, and south east 4 people.
North and south each have 7 people, east and west both have 7, but the 4 quarters aren't equal.