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
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8
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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shivangi5049:
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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
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