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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The average (arithmetic mean) of 100 measurements is 23,  Question banks Downloads My Bookmarks Reviews Important topics
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TAGS: Moderator  Joined: 18 Apr 2015
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The average (arithmetic mean) of 100 measurements is 23, [#permalink]
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Expert's post 00:00

Question Stats: 84% (00:46) correct 15% (00:29) wrong based on 59 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

_________________ GRE Prep Club Legend  Joined: 07 Jun 2014
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink]
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Expert's post
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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Sandy
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Director Joined: 03 Sep 2017
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink]
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 GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4857
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 105

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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink]
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Expert's post
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!
Thanks
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Sandy
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Intern Joined: 17 Aug 2017
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink]
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]
I got confused because of this word "ADDITIONAL" it made me calculate the next average as 27= X/150 !
Intern Joined: 06 Jul 2018
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Re: The average (arithmetic mean) of 100 measurements is 23, [#permalink]
option B Re: The average (arithmetic mean) of 100 measurements is 23,   [#permalink] 13 Oct 2018, 21:01
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