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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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 14th, 2015

Thank you for the opportunity to help you with your question!

Median of set Q can be written as 

(b+c)/2 = 7c/8

so b = 3c/4

Now median of R = median of S and Q

i.e. median of R = (3b/4 + 7c/8)/2

Substituting the value of b we get

Median of R = ((3/4)*(3c/4) + 7c/8)/2

So median of R = 23c/32


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Dec 14th, 2015

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