Maharashtra Class 9 Answered
the median of the given data 6,8,9,15,x,x+1,21,22,25,29 is17.5. find the value of x
Asked by ashadadlney | 28 Jan, 2022, 12:02: PM
Hint
Here n = 10
Assuming that the given data is in ascnding order.
Median = 17.5
Median = ![open parentheses fraction numerator open parentheses begin display style n over 2 end style close parentheses to the power of t h end exponent space plus space open parentheses n over 2 plus 1 close parentheses to the power of t h end exponent space over denominator 2 end fraction close parentheses
open parentheses fraction numerator open parentheses begin display style 10 over 2 end style close parentheses to the power of t h end exponent space plus space open parentheses 10 over 2 plus 1 close parentheses to the power of t h end exponent space over denominator 2 end fraction close parentheses
open parentheses fraction numerator 5 to the power of t h end exponent space plus space 6 to the power of t h end exponent space over denominator 2 end fraction close parentheses
open parentheses fraction numerator x plus x plus 1 over denominator 2 end fraction close parentheses](https://images.topperlearning.com/topper/tinymce/cache/7942bd4faf11871b6423561d7ed9c7dc.png)
![open parentheses fraction numerator open parentheses begin display style n over 2 end style close parentheses to the power of t h end exponent space plus space open parentheses n over 2 plus 1 close parentheses to the power of t h end exponent space over denominator 2 end fraction close parentheses
open parentheses fraction numerator open parentheses begin display style 10 over 2 end style close parentheses to the power of t h end exponent space plus space open parentheses 10 over 2 plus 1 close parentheses to the power of t h end exponent space over denominator 2 end fraction close parentheses
open parentheses fraction numerator 5 to the power of t h end exponent space plus space 6 to the power of t h end exponent space over denominator 2 end fraction close parentheses
open parentheses fraction numerator x plus x plus 1 over denominator 2 end fraction close parentheses](https://images.topperlearning.com/topper/tinymce/cache/7942bd4faf11871b6423561d7ed9c7dc.png)
17.5 x 2 = 2x + 1
35 = 2x + 1
34 = 2x
x = 17
Answered by | 29 Jan, 2022, 12:46: PM
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