Question

Find the median of the following data : 41, 43, 127, 99, 61, 92, 71, 58, 57 If 58 is replaced
by 85, what will be the new median.

Answer 1

Given numbers are
41, 43, 127, 99, 61, 92, 71, 58 and 57
Arrange in ascending order
41, 43, 57, 58, 61, 71, 92, 99, 127
n = 9 (odd)

∴ Median  = `((n+1)/2)^(th) value`

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

               =   `5^(th)value`

               =    61

         If 58 is replaced by 85
         Then new values be in order are
         41, 43, 57, 61, 71, 85, 92, 99, 27
          n = 9 (odd)

          ∴ Median = `((n+1)/2)^(th) value`

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

                       =`5^(th)value`

                       =  71