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If the Median of the Data: 24, 25, 26, X + 2, X + 3, 30, 31, 34 is 27.5, Then X = - Mathematics

MCQ

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

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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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APPEARS IN

RD Sharma Class 10 Maths
Chapter 15 Statistics
Q 15 | Page 67
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