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# Five offices have an average of 8 people per office and a median of 7

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AWA Forum Moderator
Status: Manager
Joined: 27 Oct 2018
Posts: 825
Location: Egypt
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Five offices have an average of 8 people per office and a median of 7  [#permalink]

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04 Sep 2019, 21:28
2
3
00:00

Difficulty:

45% (medium)

Question Stats:

54% (01:54) correct 46% (01:45) wrong based on 24 sessions

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Five offices have an average of 8 people per office and a median of 7 people per office, and none of the offices are vacant. What is the maximum number of people who can be in the largest office?

(A) 23

(B) 24

(C) 25

(D) 26

(E) 27
Intern
Joined: 04 Sep 2019
Posts: 1
Re: Five offices have an average of 8 people per office and a median of 7  [#permalink]

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04 Sep 2019, 22:54
1
Average is 8 which means 8*5 = 40 people in total
Median is 7. Thus to maximise, we can choose as follows:
1 1 7 7 (maximum)
Thus max is 40 - 16 = 24

Ans: B
Re: Five offices have an average of 8 people per office and a median of 7   [#permalink] 04 Sep 2019, 22:54
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