The following observations have been arranged in ascending order. If the median of the data is 13, find the value of x:
3, 6, 7, 10, x, x+ 4, 19, 20, 25, 28.
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Answer:
Given observations in ascending order
3,6,7,10,x, x+4, 19,20,25,28.
Here, n=10 which is even and median= 13
so,
Median.
1/2[(10/2)th term + (10/2+1)th term ]
=>1/2(5th term + 6th term)
=>1/2(x+x+4) =(2x+4)/2 = x+2
> x+2=13
x= 13 -2 = 11
Hence the value of x is 11 .
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