Two dataset in descending order (8, x, 4,1) and (9, y, 5,2). If the median is equal, find (y-x)

y-x = - 1

Step-by-step explanation:

Given the two dataset;

(8, x, 4,1) and (9, y, 5,2)

Since they are already arranged in descending order;

The median for the first dataset is;

M1 = (x+4) / 2

The median for the second dataset is;

M2 = (y+5) / 2

The median is equal;

M1 = M2

(x+4) / 2 = (y+5) / 2

x+4 = y+5

Collecting the like terms;

4-5 = y-x

y-x = - 1