Question

In an arrangement series of an even number of 2n terms which term is median?

Answer 1

Hi there!
Here's the answer:

•°•°•°•°•°<><><<><>><><>°•°•°•°•°

The series of Even No.s :
2, 4, 6, ……………

Given that No. of terms = 2n
=>Total Even No. of terms exists in series


-Here there exists two mid terms as there are even No. of terms in series

Mid term = 2n/2 = n
=> Mid term is nth term and (n+1)th term

•°• nth term = 2n
(n+1)th term of series = 2(n+1)

-Find Average of these two mid terms
= $\frac{2n+2(n+1)}{2} = n+(n+1) = 2n + 1$

•°• Required Median = 2n+1

•°•°•°•°•°<><><<><>><><>°•°•°•°•°