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Question

Ten observations 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43 are written in ascending order. If the median of the given data is 24 then find the value of x.


A
17
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B
20.33
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C
30
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D
20
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Solution

The correct option is B 20
The ten observations are 6, 14, 15, 17, x+1, 2x-13, 30, 32, 34, 43

Since the number of terms is 10 which is even, the median will be average of the 5th and 6th terms

5th term = x +1, 6th term = 2x - 13

Median=(x+1)+(2x13)224=(x+1)+(2x13)23x122=24
3x12=48 
3x=60
x=20

Mathematics

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