mode problem

[pradeepkaushal9518]

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

[asamaverick]

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?

[ilikaroy]

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