Question

If the median of the data: 24,25,26,x+2,x+3,30,31,34 is 27.5,then find x​

Answer 1

Answer:

25

Step-by-step explanation:

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`

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