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tejal777
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Set X is composed of the total daily rainfall for a 5 day 10 Sep 2009, 15:56
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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. mean and median od set X is equal to 5
2. If the median was removed from set X,the mean and mode would remain unchanged,but the median would decrease.



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Set X is composed of the total daily rainfall for a 5 day 10 Sep 2009, 20:53
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tejal777
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. mean and median od set X is equal to 5
2. If the median was removed from set X,the mean and mode would remain unchanged,but the median would decrease.
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1. Consider set {1,3,5,7,9} & {5,5,5,5,5}. The first one has no mode (mode is the number that appears the most.) The second one's mode, mean & median is 5. Insuff.

2. Consider set {0,2,5,9,9} , {1,1,5,8,10} & {3,3,5,6,8}.

Set1: All conditions satisfy, except the median decrease. median increase to 9+2 / 2 = 5.5.
Set2: All conditions satisfy. median = 4.5. Mode = 1 < median.
Set3: All conditions satisfy. median = 4.5. Mode = 3 < median.

Based on this, we can conclude, that mode will always be less than the median.

Suff.

B
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Set X is composed of the total daily rainfall for a 5 day 10 Sep 2009, 23:04
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Jivana
tejal777
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. mean and median od set X is equal to 5
2. If the median was removed from set X,the mean and mode would remain unchanged,but the median would decrease.
1. Consider set {1,3,5,7,9} & {5,5,5,5,5}. The first one has no mode (mode is the number that appears the most.) The second one's mode, mean & median is 5. Insuff.

2. Consider set {0,2,5,9,9} , {1,1,5,8,10} & {3,3,5,6,8}.

Set1: All conditions satisfy, except the median decrease. median increase to 9+2 / 2 = 5.5.
Set2: All conditions satisfy. median = 4.5. Mode = 1 < median.
Set3: All conditions satisfy. median = 4.5. Mode = 3 < median.

Based on this, we can conclude, that mode will always be less than the median.

Suff.

B
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Good job.
Good question too..

I was trying to form a set with elements that have mode > median subject to the conditions in B but such set is not possible.

So I confirm B.
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Set X is composed of the total daily rainfall for a 5 day 10 Sep 2009, 23:55
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Mode - is the number what appears most. Basically it could be several modes in one set.
1) Let's consider the first statement.
We have the following set {3,3,5,7,7}. Mean and median are equal 5, and we have two modes 3 and 5, so insuf
2)Let's consider two sets. {1,1,4,6,8} and {1,3,4,6,6}
If the median will be removed from the first set, mean and mode will remain the same
If the median will be removed from the second set, mean and mode will change. Suff.
I choose B.
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Set X is composed of the total daily rainfall for a 5 day 11 Sep 2009, 15:47
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Stmt 2 is the real gem here...

The main problem I had with this ques was the difficulty in coming up with examples of sets..any different approach or any pointers on how to do it under 2 mins??
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Set X is composed of the total daily rainfall for a 5 day 11 Sep 2009, 16:03
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tejal777
Stmt 2 is the real gem here...

The main problem I had with this ques was the difficulty in coming up with examples of sets..any different approach or any pointers on how to do it under 2 mins??
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The key to this problem is to figure out what happens if the mode is higher or lower than the median. Once you zero in on that, you are set.

This problem took me about 3 mins or so. Given that this is a difficult one, I wouldn't stress too much about trying to keep it under 2 mins. Remember, you are trying to solve every problem under 2 mins, on average. Some problems might take 2.5 and some might take 3 mins. But then again, you will have a few of the 30 sec ones, where you can average it out.
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Set X is composed of the total daily rainfall for a 5 day 11 Sep 2009, 18:51
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Jivana
tejal777
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. mean and median od set X is equal to 5
2. If the median was removed from set X,the mean and mode would remain unchanged,but the median would decrease.
1. Consider set {1,3,5,7,9} & {5,5,5,5,5}. The first one has no mode (mode is the number that appears the most.) The second one's mode, mean & median is 5. Insuff.

2. Consider set {0,2,5,9,9} , {1,1,5,8,10} & {3,3,5,6,8}.

Set1: All conditions satisfy, except the median decrease. median increase to 9+2 / 2 = 5.5.
Set2: All conditions satisfy. median = 4.5. Mode = 1 < median.
Set3: All conditions satisfy. median = 4.5. Mode = 3 < median.

Based on this, we can conclude, that mode will always be less than the median.

Suff.

B
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I disagree with your definition of mode!!! In Case 1, all numbers appear only once, hence, all 5 numbers are mode here..
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Set X is composed of the total daily rainfall for a 5 day 11 Sep 2009, 21:44
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Jivana
tejal777
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. mean and median od set X is equal to 5
2. If the median was removed from set X,the mean and mode would remain unchanged,but the median would decrease.
1. Consider set {1,3,5,7,9} & {5,5,5,5,5}. The first one has no mode (mode is the number that appears the most.) The second one's mode, mean & median is 5. Insuff.

2. Consider set {0,2,5,9,9} , {1,1,5,8,10} & {3,3,5,6,8}.

Set1: All conditions satisfy, except the median decrease. median increase to 9+2 / 2 = 5.5.
Set2: All conditions satisfy. median = 4.5. Mode = 1 < median.
Set3: All conditions satisfy. median = 4.5. Mode = 3 < median.

Based on this, we can conclude, that mode will always be less than the median.

Suff.

B

I disagree with your definition of mode!!! In Case 1, all numbers appear only once, hence, all 5 numbers are mode here..
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No, that's not true. There can be multiple modes in a set, for example in the set {1,5,1,3,5,3,8,10} 1,3,5 are all modes. However, if all the numbers are unique then that set has no mode.
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if it is so, then it's a news for me ... :) :)
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Set X is composed of the total daily rainfall for a 5 day 12 Sep 2009, 09:47
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Tks alot

It's so difficult, I can understand the 2 explanations but I cant have that way of reasoning :(



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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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