##### 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?

 Statistics Tutor: None Selected Time limit: 1 Day

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 12th, 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

a=b/2
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 12th, 2015

...
Dec 12th, 2015
...
Dec 12th, 2015
Dec 6th, 2016
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle