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​

Answer: question no. 1 -a. yes, the sides are in the ratio 2 : 5.question no. 2 -b. 59°question no. 3 -c. angles x and y are remote interior angles.question no. 4 -d. 90°, 45° and 45°question no. 5 -b. mn and qrstep-by-step explanation: question no. 1 -rs : xu = 3 : 7.5 = 2 : 5rt : x? = 6.4 : 16 = 2 : 5st : u? = 6 : 15 = 2 : 5as the ratios of all sides are equivalent, the triangles must be congruent and the sides must be proportional.therefore, the answer is: a. yes, the sides are in the ratio 2 : 5.question no. 2 -in the second diagram, angle b is the only letter not shown. therefore, the number must be equivalent to angle b.if we substitute the value of angle b as being 22° in the first diagram, we can now use the angle sum of a triangle to obtain the value of angle a.angle sum of a triangle = 180°therefore: let angle a = aa + 99 + 22 = 180a = 180 - 99 - 22a = 59°therefore, the answer is: b. 59°question no. 3 -angles x and y don't share the vertex of the triangle with the exterior angle w. remote interior angles don't share a vertex of a triangle with an exterior angle. this means that angles x and y are remote interior angles.therefore, the answer is: c. angles x and y are remote interior angles.question no. 4 -the sum of all interior angles of a triangle must be equivalent to 180°.90°, 45° and 45° are the only set of angle measures that are equivalent to 180°.therefore, the answer is: d. 90°, 45° and 45°question no. 5 -the only pair of sides stated in the options which are corresponding are mn and qr.therefore, the answer is: b. mn and qr.