Question

the median of the following observations is 25 find X 11,13,15,19,x+2,x+4,30,35,39,46

Answer 1

11,13,15,19,x+2,x+4,30,35,39,46 are given data
number of terms in the data=n =10(even)
median = average of (n/2 and n/2+1) th terms
= average of(10/2 and 10/2 +1) th terms
=average of(10/2 and 10/2+1)th terms
= average of 5th and 6th terms
= average of x+2and x+4
=(x+2+x+4)/2
=(2x+6)/2---(1)
but given
median =25---(2)
(1)=(2)
(2x+6)/2=25
2x+6=50
2x=50-6
2x=44
x=44/2
x=22