Question

The median of observations 11, 12, 14, 18, x+2 , x+4, 30,32,35,41 arranged in ascending order is 26. Find the value of x

Answer 1

Answer:

since here no.of terms(n) = 10

that implies median= {n/2 th + (n+2)/2 th }/2

that implies median =( 5th +6th term)/2

median ={ (x+2) +(x+4) } / 2= (2x+6 ) /2

implies median = x+3

but given median = 26

implies x+3 = 26

implies x=23