 # Need help with Pure statistics and integers, include every step! Anonymous
timer Asked: Dec 15th, 2015
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### Question Description

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?

vmohanakumar
School: Carnegie Mellon University   Thank you for the opportunity to help you with your question!

Median of  a and b  =  (a+b)/2  =  (3/4)b

a + b  =  2 (3/4)b  = (3/2)b

a = (3/2)b - b  = (1/2)b

Median of b and  c  =  (b + c)/2  =  (7/8)c

b + c  =  2(7/8)c  =  (7/4)c

b = (7/4)c - c  = (3/4)c

a = (1/2)b  = (1/2) (3/4) c = (3/8)c

Median of  a and  c = (a + c)/2   =  [(3/8)c  + c ]/2  = [(11/8)c]/2  =  (11/16)c

Please let me know if you need any clarification. I'm always happy to answer your questions.

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