Question

if the median of the data is 63,Find the value of x. 29,32,48,50,x,x+2,72,78,84,95

Answer 1

as the no of observations us even
median =n/2th and n/2+1th place
so 10/2 and 10/2+1
5,6th place
x+x+2=63
2x=63-2
x=61/2
x=30.1

Answer 2

Median for even no. of data is average of the values at position [n /2] and [(n / 2) +1]
So here median values are 10/2 =5 & (10/2)+1=6
Values at 5th & 6th position are x & x+2 respectively
So, [ (x) + (x+2) ] / 2 = 63
(2x+2) /2 = 63
x+1 = 63
x = 62