Find the median of the following data: 25,34,31,23,22,26,35,28,20,32

Explanation

Given
`25,34,31,23,22,26,35,29,20,32`
Number of observations `(n)` `=10`
first of all we arrange the observations in an ascending order
`20,22,23,25,26,29,31,32,34,35`
Here observe that number of observations `(n)` is even so
Median is average of `n/2^(th) term and (n/2 +1)^(th) term`
Median `=(n/2^(th) term +(n/2)^(th) term)/2`
`=10/2^(th) term + (10/2 + 1)^(th) term/2`
`=(5^(th) term+6^(th) term)/2`
`=26+29/2`
`=55/2`
Hence, median is `27.5`