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kiran120680
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Joined: 18 Feb 2019
Last visit: 27 Jul 2022
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Location: India
Schools: AGSM '20 EDHEC Sept 2019 Intake Great Lakes '21 IE
GMAT 1: 460 Q42 V13
GPA: 3.6
13 Jun 2019, 02:09
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Difficulty:
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Question Stats:
43% (01:24) correct
57%
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wrong
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Set A consists of scores obtained by each of the students in Class X and Set B consists of scores obtained by each of the students in Class Y. Is the median of scores in Set A equal to the median of scores in Set B?
(1) All the scores in Set A are also there in Set B
(2) Class X and Class Y have an equal number of students.
(1) All the scores in Set A are also there in Set B
(2) Class X and Class Y have an equal number of students.
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13 Jun 2019, 08:35
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The wording seems misleading. It tells us that the sets consist of scoreS by each of the studentS. The plurality in the question makes it seem that each student can have any number of scores in the set.
If this is true, then knowing the number of students and that the scores in A are in B does not necessarily mean that the medians are the same.
For example: Set A has John{3, 5, 6} and Mark{2, 3, 7}. Set be has Paul{3, 5, 6} and Daniel{2, 7, 8}. Set B has all of the scores from Set A with an additional "8". This means that the median for A is 4 [2,3,3,5,6,7] and the median for B is 5.5 [2,3,5,6,7,8].
Therefore, not sufficient.
If this is true, then knowing the number of students and that the scores in A are in B does not necessarily mean that the medians are the same.
For example: Set A has John{3, 5, 6} and Mark{2, 3, 7}. Set be has Paul{3, 5, 6} and Daniel{2, 7, 8}. Set B has all of the scores from Set A with an additional "8". This means that the median for A is 4 [2,3,3,5,6,7] and the median for B is 5.5 [2,3,5,6,7,8].
Therefore, not sufficient.
13 Jun 2019, 14:02
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Statement 1-
Case 1
Set A- {2,3,5} and Set B {2,3,5} median are equal
Case 2
Set A- {2,3,5} and Set B {2,3,5,7} median are not equal
Insufficient
Statement 2-
Case 1
Set A- {2,3,5} and Set B {2,3,5} median are equal
Case 2
Set A- {2,3,5} and Set B {5,6,7} median are not equal
Insufficient
Combining both equation
Case 1
Set A- {2,3,3,5} and Set B {2,3,3,5} median are equal
Case 2
Set A- {2,3,3,5} and Set B {2,2,3,5} median are not equal
Insufficient!!
Case 1
Set A- {2,3,5} and Set B {2,3,5} median are equal
Case 2
Set A- {2,3,5} and Set B {2,3,5,7} median are not equal
Insufficient
Statement 2-
Case 1
Set A- {2,3,5} and Set B {2,3,5} median are equal
Case 2
Set A- {2,3,5} and Set B {5,6,7} median are not equal
Insufficient
Combining both equation
Case 1
Set A- {2,3,3,5} and Set B {2,3,3,5} median are equal
Case 2
Set A- {2,3,3,5} and Set B {2,2,3,5} median are not equal
Insufficient!!
kiran120680
