Question

Find the median of the data 61, 92, 41,57, 43, 71, 58, 99, 108.
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Answer 1

arrange the data in ascending order

41,43,57,58,61,71,92,99,127

Here observe that No' of observations (n) are odd i.e n=9

So median is 2n+1 th term

Median =2n+1th term =n9+1 th term

                                           =5 th term

                                           =61

58 is replaced by 85

 then new data is 

41,43,57,85,61,71,92,99,127

arrange the data in ascending order

41,43,57,61,71,85,92,99,127

Here observe that no's observation are odd i.e n=9

So

median is 2n+1th term

   Median         =29+1 th term

           

                         =5th term    

                         =71

∴ new median =71