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The average of 6 observations is 12. A new seventh observation is incl

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Math Expert
Joined: 02 Sep 2009
Posts: 62498
The average of 6 observations is 12. A new seventh observation is incl  [#permalink]

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20 Feb 2019, 23:31
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Difficulty:

15% (low)

Question Stats:

88% (00:48) correct 12% (02:08) wrong based on 17 sessions

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The average of 6 observations is 12. A new seventh observation is included and the new average is decreased by 1. The seventh observation is :

A. 1
B. 5
C. 7
D. 9
E. 10

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Joined: 31 Oct 2013
Posts: 1491
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The average of 6 observations is 12. A new seventh observation is incl  [#permalink]

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21 Feb 2019, 01:43
Bunuel wrote:
The average of 6 observations is 12. A new seventh observation is included and the new average is decreased by 1. The seventh observation is :

A. 1
B. 5
C. 7
D. 9
E. 10

Total of 6 observations = 12 * 6 = 72.

Total of 7 observations = 11 * 7 = 77.

As per the question new average was decreased by 1. thus new average must be 11.

Difference = 77 - 72 = 5.

So, the value of 7th observation is 5.

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Posts: 6018
Location: India
Concentration: Sustainability, Marketing
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Re: The average of 6 observations is 12. A new seventh observation is incl  [#permalink]

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21 Feb 2019, 08:55
Bunuel wrote:
The average of 6 observations is 12. A new seventh observation is included and the new average is decreased by 1. The seventh observation is :

A. 1
B. 5
C. 7
D. 9
E. 10

given
72+x = 77
x = 5
IMO B
Re: The average of 6 observations is 12. A new seventh observation is incl   [#permalink] 21 Feb 2019, 08:55
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