following 10 observations are arrange in ascending order as follows. 2,3,5,9, x+1, x+3,14,16,19,20. If the median of the data is 11. find the value of x.
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Number of terms(n) = 10 which is even
Therefore median = 1/2 [ n/2 + n/2 + 1]
11 = 1/2 [ 10/2 + 10/2+1]
11 = 1/2 [5th term + 6th term]
11 = 1/2 [ x+1+x3]
11 = 1/2 [ 2x+4]
22 = 2x + 4
2x = 18
x = 9
The value of x is 9.
Therefore median = 1/2 [ n/2 + n/2 + 1]
11 = 1/2 [ 10/2 + 10/2+1]
11 = 1/2 [5th term + 6th term]
11 = 1/2 [ x+1+x3]
11 = 1/2 [ 2x+4]
22 = 2x + 4
2x = 18
x = 9
The value of x is 9.
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