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The average (arithmetic mean) of 4 donations to a charity

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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The average (arithmetic mean) of 4 donations to a charity [#permalink] New post 07 Jun 2016, 15:54
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Question Stats:

95% (00:31) correct 5% (00:45) wrong based on 20 sessions
The average (arithmetic mean) of 4 donations to a charity was $80. Two of the 4 donations were $90 and $60.

Quantity A
Quantity B
The average of the other 2 donations
$80


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.



Practice Questions
Question: 1
Page: 118
[Reveal] Spoiler: OA

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Sandy
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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1651 [0], given: 396

CAT Tests
Re: The average (arithmetic mean) of 4 donations to a charity [#permalink] New post 07 Jun 2016, 15:56
Expert's post
Explanation

Note that Quantity B, $80, is the average of the 4 donations. The average of 2 of the 4 donations, $90 and $60, is $75. Since $75 is less than $80, it follows that Quantity A, the average of the other 2 donations, is greater than Quantity B. Therefore the correct answer is Choice A.
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Re: The average (arithmetic mean) of 4 donations to a charity [#permalink] New post 29 Mar 2018, 01:44
How did we come up to that conclusion though ?
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Re: The average (arithmetic mean) of 4 donations to a charity [#permalink] New post 29 Mar 2018, 05:10
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Average of 4 donations is 80. This means the sum of 4 numbers is 4*80 = 320.

As 2 numbers are already given, and their sum is 90+60 = 150.
So the sum of rest of the numbers is 320- 150 = 170

Average of 2 numbers , 170/2 = 85

As 85 is greater than 80, the answer is A.

*To solve this answer one thing to be remembered is the underlying concept of how averages work. Average of n number of number is sum of all the products by total number of products.

Average of 2 numbers a and b is a+b/2 .

We divided the sum with 2 because there are 2 numbers.

For 3 numbers a, b and c, average = a+b+c/3
Re: The average (arithmetic mean) of 4 donations to a charity   [#permalink] 29 Mar 2018, 05:10
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The average (arithmetic mean) of 4 donations to a charity

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