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Question
If the median of the data: 24, 25, 26, x + 2, x + 3, 30, 31, 34 is 27.5, then x =
Options
27
25
28
30
Solution
The given observations are 24, 25, 26, x + 2, x + 3, 30, 31, 34.
Median = 27.5
Here, n = 8
Median `=((n/2)^(th) "term" + (n/2 +1)^(th) "term")/2`
`27.5 = (4th "term" +5th "term")/2`
`27.5 = ((x +2) +(x + 3))/2`
`27.5 = (2x +5)/2`
`2x +5 = 55`
`2x = 50`
`X = 25`
Hence, the correct option is (b).
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