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Question
The median of the following data : 0, 2, 2, 2, −3, 5, −1, 5, −3, 6, 6, 5, 6 is
Options
0
−1.5
2
3.5
Solution
The given data is 0, 2, 2, 2, -3, 5, -1, 5, 5, -3, 6, 6, 5 and 6.
Arranging the given data in ascending order, we have
-3, -3, -1, 0, 2, 2, 2, 5, 5, 5, 5, 6, 6, 6
Here, the number of observation n=14 , which is an even number.
Hence, the median is
`((n/2)^(th) "observation" +(n/2+1)^(th) "observation" )/2`
`=((14/2)^(th) "observation" +(14/2+1)^(th) "observation" )/2`
`=(7^(th) "observation " +8^(th)"observation ")/2`
`=(2+5)/2`
`=7/2`
`=3.5`
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