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The average (arithmetic mean) of six numbers is 18 and the median of t

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Joined: 24 Oct 2016
Posts: 66
GMAT 1: 670 Q46 V36
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The average (arithmetic mean) of six numbers is 18 and the median of t  [#permalink]

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New post 02 Aug 2018, 10:37
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  45% (medium)

Question Stats:

54% (01:53) correct 46% (02:14) wrong based on 26 sessions

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The average (arithmetic mean) of six numbers is 18 and the median of the six numbers is 16. What is the minimum possible value for the greatest number in the list?

A) 19

B) 20

C) 21

D) 22

E) 23

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Everything You Need To Know About Verb Tenses

Manager
Manager
User avatar
S
Joined: 24 Oct 2016
Posts: 66
GMAT 1: 670 Q46 V36
CAT Tests
The average (arithmetic mean) of six numbers is 18 and the median of t  [#permalink]

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New post 02 Aug 2018, 11:05
dabaobao wrote:
The average (arithmetic mean) of six numbers is 18 and the median of the six numbers is 16. What is the minimum possible value for the greatest number in the list?

A) 19

B) 20

C) 21

D) 22

E) 23


We need to maximize all the other terms in order to minimize the last term.

16 16 16 16 x x

Sum = Mean * # in list

18 * 6 = 16 * 4 + 2x
108-64 = 2x
x = 44/2 = 22
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Everything You Need To Know About Verb Tenses

The average (arithmetic mean) of six numbers is 18 and the median of t &nbs [#permalink] 02 Aug 2018, 11:05
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