Question

find the median of 34, 36, 32, 45, 43, 31, 37, 41, 34, 45

Answer 1

Answer:
For find median first we arrange these numbers in ascending order As:

31 , 32 , 34 , 34 , 36 , 37 , 41 , 43 , 45 , 45

Here total number of observation is even n = 10
So , Median is
If n is even then Median (M) = $\frac{\left[\left({\displaystyle \frac{n}{2}}\right){}^{th}term\mathit{}\mathit{+}\left({\displaystyle \frac{n}{2}+1}\right){}^{th}\mathit{}term\right]}{2}$
here n = 10 so we get
$\Rightarrow$ $\frac{\left[\left({\displaystyle 5}\right){}^{th}term\mathit{}\mathit{+}\left({\displaystyle 6}\right){\mathit{}}^{th}\mathit{}term\right]}{2}$

$\Rightarrow$$\frac{\left[36\mathit{}\mathit{+}\mathit{}37\right]}{2}$

So the median is 36.5 ( Ans )