BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

mode problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 1309
Joined: Wed Mar 17, 2010 11:41 pm
Thanked: 33 times
Followed by:5 members

mode problem

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
Top
Source: — Data Sufficiency |
User avatar
Master | Next Rank: 500 Posts
Posts: 106
Joined: Mon Sep 28, 2009 9:29 am
Location: Boston, MA
Thanked: 26 times
Followed by:2 members
GMAT Score:700

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?
Top
Junior | Next Rank: 30 Posts
Posts: 12
Joined: Thu May 13, 2010 10:08 pm
Thanked: 1 times

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?
Top
Post new topic Post Reply
• Page 1 of 1