Maharashtra State Board course SSC (English Medium) Class 9
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Following 10 Observations Are Arranged in Ascending Order as Follows. 2, 3, 5, 9, X + 1, X + 3, 14, 16, 19, 20 If the Median of the Data is 11, Find the Value of X - Algebra

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ConceptMeasures of Central Tendency

Question

Following 10 observations are arranged in ascending order as follows.
2, 3, 5, 9, + 1, x + 3, 14, 16, 19, 20
If the median of the data is 11, find the value of x

Solution

The 10 observations are arranged in ascending order as follows:
2, 3, 5, 9, + 1, x + 3, 14, 16, 19, 20
Since, the median of the data is 11.
As, the number of observations = 10, which is an even number.
Median = 11
⇒ `1/2 [ (10/2)th observation + ( 10/2 + 1)th observation `= 11
⇒ ` 1/2 xx  [ 5th  observation + 6th  observation ]` = 11
⇒ `1/2 [ x + 1 + x + 3] = 11
⇒ 2x + 4 = 2 x 11
⇒ 2x = 22 - 4
⇒ x = `18/2` = 9
So, the value of x is 9.
  Is there an error in this question or solution?

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 Balbharati Solution for Balbharati Class 9 Mathematics 1 Algebra (2019 to Current)
Chapter 7: Statistics
Practice set 7.5 | Q: 8 | Page no. 125
Solution Following 10 Observations Are Arranged in Ascending Order as Follows. 2, 3, 5, 9, X + 1, X + 3, 14, 16, 19, 20 If the Median of the Data is 11, Find the Value of X Concept: Measures of Central Tendency.
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