The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average or we can say a median is a point in the horizontal line having
multiple points such that the sum of difference of this point to all other points is minimum. For example,
consider 1 345 7 to be the points on a horizontal line then 4 will be the point through which the sum of
difference of all other points is minimum.
Similarly, a median in a 2d plane is a point such that the sum of the manhattan distance of this point from all
other points is minimum.
Manhattan distance for points P1(x1,71) and P2(x2.72) is [x1-x2] + [y1-y21.
Consider there are 9 points in the 2-D planes as (2,2), (4,4), (6,6)(20,20). How many medians does exist in this
situation?
A:9
B:4
C:1
D:12​