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

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

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New post 07 Nov 2017, 23:25
11
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A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

50% (01:01) correct 50% (01:03) wrong based on 214 sessions

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

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New post 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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New post 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.

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

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New post 26 Nov 2017, 02:14
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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

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

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New post 24 Dec 2018, 02:54
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Re: The average (arithmetic mean) of a list of positive numbers is what  [#permalink]

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New post 07 Feb 2019, 21:12
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.


Tricky question. I was definitely fooled, but indeed the correct answer is B. The sum cancels out so it doesn't matter what the value is.

Avg * # of terms = sum

Avg = \(\frac{Sum}{terms}\)

\(\frac{sum}{25} = [fraction]x% * sum[/fraction]\)

x = 4%
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Re: The average (arithmetic mean) of a list of positive numbers is what   [#permalink] 07 Feb 2019, 21:12
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