Question

Two datasets arranged in descending order are: {8, x, 4,1) and (9. Y, 5,2). If the medians ofthe two given datasets are equal, what is the value of (y – x)??Answer​

Answer 1

The question is missing. The complete question is:

Two datasets arranged in descendind order are: {8,x,4,1} and {9,y,5,2}. If the medians of the two given datasets are equal, what is the value of

(y-x)² ?

Answer: (y-x)² = 1

Step-by-step explanation: Median is the middle term of a data set.

In both datasets, there are an even quantity of number, so, to calculate median, sum the two center values and divide it by 2.

1) To facilitate, arrange it in ascending order:

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

Median of the first:

`(4+x)/(2)`

Median of the second:

`(5+y)/(2)`

As medians are the same:

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

4+x = 5+y

x - y = 5 - 4

x - y = 1

The question asks for (y-x)², so

y - x = -1

(y-x)² = (-1)²

(y-x)² = 1