Question

If 35 is removed from the data: 30, 34, 35, 36, 37, 38, 39, 40, then the median increased by

Options

• 2

• 1.5

• 1

• 0.5

Answer 1

The given data set is

30, 34, 36, 37, 38, 39, 40

`n = 8 ` (even)

Median `=((n/2)^(th) "term" +(n/2+1)^(th)term)/2`

             `= (4^(th) "term"+5^(th)"term")/2`=

              `=(36 +37)/2`

              `=73/2`

median = 36.5

If 35 is removed, then the new data set is 

30, 34, 36, 37, 38, 39, 40

n = 7 (odd)

Therefore,

median `=((7+1)/2)^(th)`term

             `=(8/2)^(th)`term

             `=4^(th) ` term 

median = 37

Increase in median

`=37 - 36.5`

`= 0 . 5`