Question

Median of a data, arranged in ascending order 7,10,15,x,y, 27, 30 is 17 and when one more observation 50 is added to the data, the median has become 18 Find x and y.​

Answer 1

Answer:

x = 17 , y = 19

Step-by-step explanation:

for the arrayed data 7,10,15,x,y,27,30

n = 7 (odd no of observations)

So, clearly median is x in the arrangement, which equals 17.

Now on modifying it as 7,10,15,x,y,27,30,50

n = 8 (even no of observations)

So, median = (x+y)/2 = 18

or, x+y = 36

or, 17 + y = 36

or, y = 19.