The table lists the 11 current members of a university’s Science Curriculum Committee. Four members are to be removed from the Science Curriculum Committee, reducing the total number of members to 7 from the current 11. Name years of full - time teaching experience Member of faculty senate? Department Member of ethics council? Amin 2 Yes astronomy no Burns 1 yes physics no Choi 10 yes physics yes Coleman 11 no chemistry no Kasik 10 no astronomy yes Longo 13 no physics no Mwangi 10 no astronomy yes Potaczek 11 yes physics no Varga 12 no geology no Wang 10 no geology yes Xiong 3 no astronomy no For each of the following actions, select Yes if, for the resulting group of 7 committee members, the median number of years of full-time teaching experience would be greater than it is for the group of 11. Otherwise, select No.

GMAT Verbal Reasoning Practice Test 8

Question : 138 of 152

Marks: +1, -0

The table lists the 11 current members of a university’s Science Curriculum Committee.
Four members are to be removed from the Science Curriculum Committee, reducing the total number of members to 7 from the current 11.

Name	years of full - time teaching experience	Member of faculty senate?	Department	Member of ethics council?
Amin	2	Yes	astronomy	no
Burns	1	yes	physics	no
Choi	10	yes	physics	yes
Coleman	11	no	chemistry	no
Kasik	10	no	astronomy	yes
Longo	13	no	physics	no
Mwangi	10	no	astronomy	yes
Potaczek	11	yes	physics	no
Varga	12	no	geology	no
Wang	10	no	geology	yes
Xiong	3	no	astronomy	no

For each of the following actions, select Yes if, for the resulting group of 7 committee members, the median number of years of full-time teaching experience would be greater than it is for the group of 11. Otherwise, select No.

Validate

Solution:

Explanation:
Step 1: determine the median of the group of 7
Step 2: determine the median of the group of 11
Step 4: compare results of step 1 and 2.
The Astronomy department has a total of

2 + 10 + 10 + 3 = 25

years of full-time teaching experience. Thus the median is 2, 3, 10, 10 (the average of the two middle numbers)

= 6,5

years
The Faculty Senate members has a total of

2 + 1 + 10 + 11 = 24

years thus the median is

1, 2, 10, 11 = 6

years
The Ethics Council members have a total of

10 + 10 + 10 + 10 = 40

years thus the median is 10 years
The group of 11 has a total of

2 + 1 + 10 + 11 + 10 + 13 + 10 + 11 + 12 + 10 + 3 = 93

years thus the median is

1, 2, 3, 10, 10, 10, 10, 11, 11, 12, 13 = 10

years.
The removal of the Astronomy department will result in a median of less than the group of 11.
The removal of the Faculty Senate will result in a median of less than the group of 11.
The removal of the Ethics Council members will result in a similar median as the group of 11.

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