1. Z is a set of positive numbers. The median of Z is greater than the mean of Z. Which of the following must be true?
I) At least 50% of the numbers in Z are smaller than the median.
II) Less than 50% of the numbers in Z are greater than the median.
III) The median of Z is greater than the average of the largest and smallest numbers in Z.
A)II only
B)III only
C)II and III
D)I, II and III
E)None of the above
Bunuel- How to identify the plug-ins for this type of questions?
Is there any other approach to solve this efficiently instead of 'plug-in and check'?![]()
I) At least 50% of the numbers in Z are smaller than the median.
II) Less than 50% of the numbers in Z are greater than the median.
III) The median of Z is greater than the average of the largest and smallest numbers in Z.
A)II only
B)III only
C)II and III
D)I, II and III
E)None of the above
Bunuel- How to identify the plug-ins for this type of questions?
Is there any other approach to solve this efficiently instead of 'plug-in and check'?