Question

the median of the data 8,14,16,21,x,y,28,30,33,38 is 25 and if y - x =2, then x = and y=​

Answer 1

hey mate..x=24 y=26

hope it helps... please mark it as brainliest....... plssssssss

Answer 2

Answer:

So, the values of x = 26 and y  = 24

Step-by-step explanation:

It is given to us that :

the median of the data is 25

and the data represented in ascending order is:

8, 14, 16. 21. x, y, 28, 30, 33, 38

So, the number of observation = 10 (which is even)

so, Median  = $\frac{\frac{n}{2} + (\frac{n}{2}+1)}{2}$ th observations.

So, Median  = (5th observation  + 6th observation) / 2 = $\frac{x +y }{2}$

and it is given that median  = 25

or, $\frac{x +y }{2}$ = 25

or, x + y = 50 ..............(i)

and also it is given that y - x = 2 ..............(ii)

On solving the equations we get ;

y + x = 50

y - x = 2

--------------------

or, 2y = 52

y = 52 / 2 = 26

and putting the value of y in equation (I), we get ;

x = 50 - 26 = 24

so, x = 26 and y  = 24

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