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mode problem

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by pradeepkaushal9518 » Tue Jun 01, 2010 2:41 am
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
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Source: — Data Sufficiency |
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by asamaverick » Tue Jun 01, 2010 5:19 am
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?
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by ilikaroy » Tue Jun 01, 2010 8:07 pm
Mean of original set is equal to median, that is clear, but how are they equal to mode?
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