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# The average (arithmetic mean) of a list of positive numbers is what

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Math Expert
Joined: 02 Sep 2009
Posts: 47983
The average (arithmetic mean) of a list of positive numbers is what  [#permalink]

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07 Nov 2017, 23:25
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55% (hard)

Question Stats:

44% (00:28) correct 56% (00:34) wrong based on 132 sessions

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The average (arithmetic mean) of a list of positive numbers is what percent of the sum of the numbers?

(1) The sum of the numbers in the list is 150.
(2) There are 25 numbers in the list.

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Joined: 28 Dec 2010
Posts: 49
The average (arithmetic mean) of a list of positive numbers is what  [#permalink]

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08 Nov 2017, 00:11
3
$$Mean = \frac{sum of numbers}{count of numbers}$$

So % asked = (mean/sum of numbers ) * 100
= 100/ count of numbers

1. Not helpful. We don't know the count.
2. We just need count.

B.
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Re: The average (arithmetic mean) of a list of positive numbers is what  [#permalink]

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26 Nov 2017, 00:22
1
For given n numbers, their average = (their sum)/n OR average/Sum = 1/n
So if we are asked that average is what % of sum, we have to find
Average/Sum * 100 = 1/n * 100

So if we can get n, we can get the answer. Statement 2 gives us the value of n, but statement 1 does not.

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Joined: 08 Jul 2010
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Re: The average (arithmetic mean) of a list of positive numbers is what  [#permalink]

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26 Nov 2017, 02:14
1
1
Bunuel wrote:
The average (arithmetic mean) of a list of positive numbers is what percent of the sum of the numbers?

(1) The sum of the numbers in the list is 150.
(2) There are 25 numbers in the list.

Average as a percentage of the sum of the numbers = Average of Number *100 / Sum of the numbers

Average as a percentage of the sum of the numbers = (Sum of Number/Count of Numbers) *100 / Sum of the numbers

Average as a percentage of the sum of the numbers = 100/Count of Numbers)

Statement 1: NOT SUFFICIENT

Statement 2: SUFFICIENT

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Re: The average (arithmetic mean) of a list of positive numbers is what &nbs [#permalink] 26 Nov 2017, 02:14
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