Question

Find the median of the following data (1-8)

133, 73, 89, 108, 94, 1O4, 94, 85, 100, 120

Answer 1

Given numbers are 133, 73, 89, 108, 94, 104, 94, 85, 100, 120
Arrange in ascending order
73, 85, 89, 94, 94, 100, 104, 105, 120, 133

n =10 (even)

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

               = `(10^(th) /2 value +  (10/2  +1)^(th) value)/ 2`

                = `(5^(th) value + 6 ^(th) value)/ 2`

                 = `(90 + 104)/ 2 = 97`