Question

ten observation of 6,14,15,17,x-1,2x-13,30,32,34,43 are written in assending oder . the median is 24 .find x

Answer 1

6,14,15,17,x-1,2x-13,30,32,34,43 are terms

x-1,2x-13 are middle term

So median = (x-1+2x-13)÷2

24 = (x-1+2x-13)÷2

24 = (3x-14)÷2

48= (3x-14)

3x= 62

x= 20.6

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Answer 2

No: of observations = 10 

As the No: of observations is even , 

Median = [( n/2th observation) + (n/2)+1 th observation] ÷ 2

n/2 th observation = 5 th observation = x+1

(n/2)+1 th observation = 6th observation = 2 x-13

[x+1 + 2x -13] ÷ 2 = median

[x+1 + 2x -13] ÷ 2 = 24

(3x - 12) ÷ 2 = 24

3x - 12 = 24 × 2 

3x - 12 = 48

3x = 48 + 12

3x =  60

x = 60 ÷ 3 

∴ x = 20