Need help with Pure statistics with integers, include every step!

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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 15th, 2015

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

Median of S =(a+b)/2

3/4b = (a+ b)/2

3/2b = a+ b

a= 3/2b-b

Median of Q=(b+c)/2

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

b+c= 7/4c

c= 7/4c-c

b= 3/4c

Median of R = (a+c)/2

but a= b/2

a= 3/4c/2

a= 3/8c

median of R = (3/8c +c)/2

= (11/16)c

Please let me know if you need any clarification. I'm always happy to answer your questions.
Dec 15th, 2015

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