Question

the following observations are arranged in ascending order if their median is 63 then find the value of x
23, 34, 48, 56, x+2, x+4, 72, 78, 80, 102​

Answer 1

Answer:

soln

median= 63

N= 10

now,

position of median= (N+1/2)th item

= (10+1/2)th item

= (11/2)th item

= 5.5th item

median value= 5th+6th/2

=x+2+x+4/2

= 2x+6/2

now,

median= 2x+6/2

63=2x+6/2

63×2=2x+6

126-6=2x

120/2=x

x=60

hence, value of x is 60