Data Sufficiency

set x is composed of the total daily rainfall for a 5-day period.is the mode of set x greater than the median?

1. the mean and the median of set x is equal to 5.
2.if the median were removed from set x,the mean and mode would remain unchanged,but the median would decrease.

plz explain wid example

Based on what is given, all we know is that the set X is composed of five non negative numbers.

1) The mean and median of X = 5. This information is not enough to say anything about the mode.

2) If the median were removed, the mode & mean would remain the same but the median would decrease.

If the mean remains the same after removing the median, we can interpret that the mean of the original set X was the same as the median. Hence for the original set mean, median and mode were all the same. This is enough to determine if mode > median (no is the answer, as they are same).

So, IMO, the answer should be B, is that the OA?

Mean of original set is equal to median, that is clear, but how are they equal to mode?