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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
Solution
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`
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