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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 4 donations to a charity  Question banks Downloads My Bookmarks Reviews Important topics
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TAGS: Retired Moderator Joined: 07 Jun 2014
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The average (arithmetic mean) of 4 donations to a charity [#permalink]
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Expert's post 00:00

Question Stats: 94% (00:43) correct 5% (00:32) wrong based on 70 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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Try our free Online GRE Test Retired Moderator Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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Re: The average (arithmetic mean) of 4 donations to a charity [#permalink]
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Explanation

The average of 4 donations is \$80. However, two of the four are \$90 and \$60 which averaged \$75

\$ 75 < \$80 BUT we are looking for the OTHER two quantities among the four averaged. So those other two are > \$80.

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Re: The average (arithmetic mean) of 4 donations to a charity [#permalink]
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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 Intern Joined: 08 Apr 2020
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Re: The average (arithmetic mean) of 4 donations to a charity [#permalink]
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So if the average of 4 scores is 80, then the sum is average*number of scores, which is 80*4 = 320

Now, we know 2 of the scores total to 150 (90+60).
To get the sum of the remaining two scores, we have to subtract the scores we have from the sum. 320-150=170

Now, we know that the remaining two scores add up to 170. And to get the average of these 2 scores, we just divide by 2.
170/2 = 85.

85 is greater than 80. Answer is A. Re: The average (arithmetic mean) of 4 donations to a charity   [#permalink] 22 May 2020, 05:43
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