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Ten observations written in descending order are 45, 34, 32, 30, 2x - 13, x + 1, 17, 15, 14 and 8. If the median is 24, then find 'x'.
Question

Ten observations written in descending order are 45, 34, 32, 30, 2x - 13, x + 1, 17, 15, 14 and 8. If the median is 24, then find 'x'.

A.

15

B.

18

C.

20

D.

12

Correct option is C

Median 24
The data are 45, 34, 32, 30, 2x - 13, x + 1, 17, 15, 14, 8
=>n=10
Median =[(n/2)thterm+(n/2+1)thterm]2\frac{ [(n/2)th term + (n/2 + 1)th term]}{2}
24 =[(10/2)thterm+(10/2+1)thterm]2\frac{ [(10/2)th term+ (10/2 + 1)th term]}{2}
=>24 = [5thterm+6thterm]2\frac{[5th term + 6th term]}{2}
24=(2x-13 + x + 1)/2
24×\times​2 = (3x-12)
3x =48+ 12
=>x= 60/3
x= 20

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