Question

please answer this question.

Answer 1

Solution :-

Given data -

8, 14, 16, 21, x, y, 28, 30, 33, 38 

y - x = 2 .............(1)

Median of the given data = 25

N = 10

There is an even number of results. So, the median will be the mean of the two central numbers.

Median = [(N + 1)/2th item]

⇒ 25 = [(10 + 1)/2th item]

⇒ 25 = (11/2)th item

⇒ 5.5th item

⇒ 25 = (5th item + 6th item)/2

⇒ 25 = (x + y)/2

⇒ x + y = 25*2

⇒ x + y = 50 ..........(2)

Adding x + y = 50 and y - x = 2

   x + y = 50

 - x + y = 2
___________
       2y = 52
___________

2y = 52

y = 52/2

y = 26

Putting y = 26 in y - x = 2

y - x = 2

26 - x = 2

- x = 2 - 26

- x = - 24

x = 24

So, the value of x is 24 and the value of y is 26.

Option (2) is correct.

Answer.