a,b,c,d,e,f If a+b=10 and e+f=20, then what could be the median of the whole set...
a,b,c,d,e,f If a+b=10 and e+f=20, then what could be the median of the whole set if all of them are arranged in increasing order?
- A. 7.5
- B. 20
- C. 4
- D. 15
Correct Answer: A. 7.5
Explanation
Since it's in increasing order, let's have some scenarios. Let's say a,b are both 5, then that means e,f at can be 5,15 with f maxing out its value up to 10,10 with e maxing its value. That leaves c,d must be 5 with f maxing out its value and c,d being in a range of 5?10 with e maxing its value and not violating the set. Now, lets say a,b are 0,10respectively, this leaves e,f only being 10 and c,d being 10 as well. Let's find the range of c,d. If c,d were both 5, that means the median of them is 5. If c,d are both 10, that means the median of them is 10. 10 is highest median of both c,d and 5 is the lowest median of c,d. We need to find a number in the answer choices that fit this description. Answer is 7.5.