Question

Ten observations 6,14,15,17,x+1,2x-13,30,32,34,34 are written in an ascending order. The median fo the data is 24. find the value of x.

Answer 1

Here n=10, which is even.
Median = mean of `(10/2) th and ( 10/2 +1)` th terms
= mean of 5th and 6th terms.
` = 1/2 [(x-2) +(2x -13) ] = 1/2 (3x-12)`
But median = 24 (given)
`1/2 (3x -12) = 24 Rightarrow 3x-12 =48`
` Rightarrow 3x = 60 Rightarrow x=20`
Henec , x=20