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The average (arithmetic mean) of 100 measurements is 23,

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The average (arithmetic mean) of 100 measurements is 23, [#permalink] New post 23 Jan 2017, 08:44
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80% (00:41) correct 19% (00:29) wrong based on 47 sessions


The average (arithmetic mean) of 100 measurements is 23, and the average of 50 additional measurements is 27.

Quantity A
Quantity B
The average of the 150 measurements
25


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink] New post 26 Jan 2017, 18:15
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Explanation

When the average of 100 measurements is 23, find the sum:

sum of 100 numbers/100 = 23 or sum of 100 numbers = 2300.

When the average of 50 measurements is 27, find the sum:

sum of 50 numbers/50 = 27 or sum of 50 numbers = \(50 \times 27\)=1350.

Total of 150 numbers = \(2300 + 1350\)= \(3650\).

Average of 150 number =\(\frac{3650}{150}\)=\(24.55\).

Clearly quantity B is greater. Hence option B is correct.
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink] New post 17 Sep 2017, 05:01
sandy wrote:
Explanation

When the average of 50 measurements is 27, find the sum:

sum of 50 numbers/50 = 27 or sum of 50 numbers = \(50 \times 50\)=1350.


It should be \(50 \times 27\)=1350
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink] New post 17 Sep 2017, 05:39
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IlCreatore wrote:
sandy wrote:
Explanation

When the average of 50 measurements is 27, find the sum:

sum of 50 numbers/50 = 27 or sum of 50 numbers = \(50 \times 50\)=1350.


It should be \(50 \times 27\)=1350


Yup, Fixed it!
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink] New post 25 Oct 2017, 16:17
I think this question sucks. I would have gotten a 19/20 if it werent for this question. Doesn't ADDITIONAL 50 measurements making it 27, I thought this wording meant they added 50 measurements to 100, so that 150 = mean of 27. I was thinking they could also be saying just a different 50 measurements the mean was 27 but it said ADDITIONAL....
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink] New post 29 Apr 2018, 19:34
I got confused because of this word "ADDITIONAL" it made me calculate the next average as 27= X/150 !
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink] New post 13 Oct 2018, 21:01
option B
Re: The average (arithmetic mean) of 100 measurements is 23,   [#permalink] 13 Oct 2018, 21:01
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