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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: 192
GMAT 1: 670 Q46 V36
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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Question Stats:

56% (02:03) correct 44% (02:17) wrong based on 32 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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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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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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The average (arithmetic mean) of six numbers is 18 and the median of t

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