Question

Q )The following observations have been arrearaged in ascending order. 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

Heya mate

To find median

first arrange it in ascending order (already done)

29 32 48 50 x x+2 72 78 84 95

no. of elements is 10

so (10/2th+ 10/2 +1 the)/2

( 5th+6th )/2

x+x+2/2

2x+2/2=63

2x+2=126

2x=124

x=62

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