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27 Nov 2014, 07:51
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E
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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.
Kudos for a correct solution.
Source: Chili Hot GMAT
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
statement in insufficient.
1+2 combined, statements are insufficient.
Ans - E
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
statement in insufficient.
1+2 combined, statements are insufficient.
Ans - E
intheend14
GMAT 1: 740 Q49 V41
Posts: 125
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.
Choice E
From statement 2, we can use the same two sets. Also insufficient.
Choice E
