Q1> a,b, and c are integers and a<b<c. S is the set of all
integers from a to b, inclusive. Q is the set of all integers from b to
c, inclusive. The median of Set S is (3/4)b. The median of set Q is
(7/8)c. If R is the set of all integers from a to c, inclusive, what
fraction of c is the median of set R?

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Note that for a set of consecutive integers, the median is the the average of the first and the last integer Median of S =(a+b)/2 therefore a=b/2 Median of Q=(b+c)/2 therefore b= (3/4)c Thus a= (3/8)c Median of R = (a+c)/2 = (11/16)c

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Dec 9th, 2015

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