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Question
If the median of the data: 6, 7, x − 2, x, 17, 20, written in ascending order, is 16. Then x=
Options
15
16
17
18
Solution
The given observations arranged in ascending order are
6,7,x-2 , x, 17,20
n = 6 (even), median = 16
Median`=((n/2)^(th) "term" +(n/2+1)^(th) "term")/2`
`=(3rd "term "+ 4th" term")/2`
`= (2x -2)/2`
`= 16 = (2x -2)/2`
` 2x -2 = 32`
`x = 17`
Hence, the correct option is (c).
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