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Set A and Set B each contain three whole numbers ranging from 1 to 10.
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27 Nov 2014, 07:51
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E
Difficulty:
55% (hard)
Question Stats:
58% (01:40) correct 42% (01:32) wrong based on 158 sessions
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Tough and Tricky questions: Statistics.
Set A and Set B each contain three whole numbers ranging from 1 to 10. With regard to the data contained in each set, is the arithmetic mean of Set A greater than the arithmetic mean of Set B?
(1) The median of Set A is greater than the median of set Set B. (2) The mode of Set A is greater than the mode of Set B.
Re: Set A and Set B each contain three whole numbers ranging from 1 to 10.
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27 Nov 2014, 08:26
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Statement 1 : The median of Set A is greater than the median of set Set B.
set A = (3,3,4) , set B = (1,1,9) ..... mean of set A is less than mean of set B set A = (4,4,6), set B= (2,2,8) ....... mean of set A is greater than mean of set B
statement is insufficient.
statement 2 : The mode of Set A is greater than the mode of Set B.
set A = (3,3,4) , set B = (1,1,9) ..... mean of set A is less than mean of set B set A = (4,4,6), set B= (2,2,8) ....... mean of set A is greater than mean of set B
Re: Set A and Set B each contain three whole numbers ranging from 1 to 10.
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27 Nov 2014, 10:22
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From statement 1, we could get two sets: A-7, 7, 7 and B-6, 6, 10--A has a higher median and B has a higher mean. A-5, 5, 5 and B-1, 1, 10--A has a higher median and mean. Insufficient
From statement 2, we can use the same two sets. Also insufficient.
Re: Set A and Set B each contain three whole numbers ranging from 1 to 10.
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28 Nov 2014, 08:49
Bunuel wrote:
Tough and Tricky questions: Statistics.
Set A and Set B each contain three whole numbers ranging from 1 to 10. With regard to the data contained in each set, is the arithmetic mean of Set A greater than the arithmetic mean of Set B?
(1) The median of Set A is greater than the median of set Set B. (2) The mode of Set A is greater than the mode of Set B.
Re: Set A and Set B each contain three whole numbers ranging from 1 to 10.
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29 Nov 2014, 01:59
Bunuel wrote:
Tough and Tricky questions: Statistics.
Set A and Set B each contain three whole numbers ranging from 1 to 10. With regard to the data contained in each set, is the arithmetic mean of Set A greater than the arithmetic mean of Set B?
(1) The median of Set A is greater than the median of set Set B. (2) The mode of Set A is greater than the mode of Set B.
Kudos for a correct solution.
Source: Chili Hot GMAT
A =(x,y,z) B =(k,l,m) (1) assume y is median of A, and l is median of B. cant conclude (x+y+z)/3 > (k+l+m)/3 => not sufficient (2) x,y,...m are different. can't conclude => not sufficient (1)+ (2) not sufficient =>E
Re: Set A and Set B each contain three whole numbers ranging from 1 to 10.
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22 May 2017, 08:39
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58% (01:40) correct 
