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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?

Dec 10th, 2015

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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 10th, 2015

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