56, 63, 59, 11, 57, 6, 11
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?
Choose the correct answer:
A) 21
B) 32
C) 49
D) 56
E) 58
Yes, it can be solved with observation even without approximation in 30 sec.   Just observe given numbers: 6,11 ,11, 56, 57, 59,63   Median is very easy to tell - its 56. Now we want a number lower than 55 and greater than mean. How many numbers are lower than 56? DE are already out.   Now, we have 21, 32 and 49 and we want a number among these which is greater than mean. logically whatever be the mean, if one value out of these 5 has to be greater than mean it has to be 49. (Notice, if 21 is more than mean then 49 is also. If 32 is more than mean, 49 is also. )   Hence 49 it is!
<result>C</result>
56, 63, 59, 11, 57, 6, 11
Which of the following numbers is lower than the median but greater than the mean of the set of the numbers in the list?