The following observations have been arranged in ascending order. If the median of the data is 63, Find the value of x. 29, 32, 48, 50, x, x + 2, 72, 78, 84, 95 ,91
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given data is
29,32,48,50,x,x+2,72,78,84,91,95
number of terms in the data = n =11(odd)
median = (n+1)/2 th term
=(11+1)/2 th term
=12/2 th term
=6 th term
=x+2(from the data)
but median =63 is given in the problem
therefore
x+2=63
x=63-2
x=61
29,32,48,50,x,x+2,72,78,84,91,95
number of terms in the data = n =11(odd)
median = (n+1)/2 th term
=(11+1)/2 th term
=12/2 th term
=6 th term
=x+2(from the data)
but median =63 is given in the problem
therefore
x+2=63
x=63-2
x=61
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