Median :
After arranging the observations in ascending (or descending) order, then the middle number is called median.
It is denoted by `M`

1. If `n` is odd, then
`M=` value of `((n+1)/2)^(th)` observation

2. If `n` is even, then
`M=(text{Value of } (n/2)^(th) text{ observation} + text{Value of } (n/2 + 1)^(th) text{ observation})/2`

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1. Find the Median of `4,14,12,16,6,3,1,2,3`

Solution:
Median :
Observations in the ascending order are :
`1,2,3,3,4,6,12,14,16`

Here, `n=9` is odd.

`M=` value of `((n+1)/2)^(th)` observation

`=` value of `((9+1)/2)^(th)` observation

`=` value of `5^(th)` observation

`=4`

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2. Find the Median of `69,66,67,69,64,63,65,68,72`

Solution:
Median :
Observations in the ascending order are :
`63,64,65,66,67,68,69,69,72`

Here, `n=9` is odd.

`M=` value of `((n+1)/2)^(th)` observation

`=` value of `((9+1)/2)^(th)` observation

`=` value of `5^(th)` observation

`=67`

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3. Find the Median of `3,23,13,11,15,5,4,2`

Solution:
Median :
Observations in the ascending order are :
`2,3,4,5,11,13,15,23`

Here, `n=8` is even.

`M=(text{Value of } (n/2)^(th) text{ observation} + text{Value of } (n/2 + 1)^(th) text{ observation})/2`

`=(text{Value of } (8/2)^(th) text{ observation} + text{Value of } (8/2 + 1)^(th) text{ observation})/2`

`=(text{Value of }4^(th) text{ observation} + text{Value of }5^(th) text{ observation})/2`

`=(5 + 11)/2`

`=8`

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