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QOTD #9 S is a set of 8 numbers, of which 4 are negative and

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QOTD #9 S is a set of 8 numbers, of which 4 are negative and [#permalink] New post 07 Aug 2016, 14:08
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Question Stats:

94% (00:28) correct 5% (00:51) wrong based on 84 sessions
S is a set of 8 numbers, of which 4 are negative and 4 are positive.

Quantity A
Quantity B
The average (arithmetic mean) of numbers in S
The median of numbers in S


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: 2
Page: 149
[Reveal] Spoiler: OA

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Sandy
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2 KUDOS received
Retired Moderator
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Joined: 07 Jun 2014
Posts: 4805
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 163

Kudos [?]: 2740 [2] , given: 394

Re: QOTD #9 S is a set of 8 numbers, of which 4 are negative and [#permalink] New post 07 Aug 2016, 14:10
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Explanation

In the question, the only information you are given about the 8 numbers in set S is that 4 are negative and 4 are positive. Sets with 4 negative and 4 positive numbers can vary greatly. For instance

Example 1: {–4, –3, –2, –1, 1, 2, 3, 4}. In this case, the average of the numbers in the set is 0, and the median is also 0, so Quantity A is equal to Quantity B.

Example 2: {–100, –3, –2, –1, 1, 2, 3, 4}. In this case, the median of the numbers is 0, but the average of the numbers is less than 0, so Quantity B is greater than Quantity A.

The answer is D
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Re: QOTD #9 S is a set of 8 numbers, of which 4 are negative and [#permalink] New post 23 Apr 2020, 08:41
Expert's post
sandy wrote:
S is a set of 8 numbers, of which 4 are negative and 4 are positive.

Quantity A
Quantity B
The average (arithmetic mean) of numbers in S
The median of numbers in S



GIVEN: S is a set of 8 numbers, of which 4 are negative and 4 are positive.

Let's examine some possible scenarios that satisfy the given conditions

case i: The eight numbers are {-1, -1, -1, -1, 1, 1, 1, 1,000,000,000}
We get:
Quantity A: Average is some POSITIVE number
Quantity B: Median = the average of the two middle numbers = (-1 + 1)/2 = 0/2 = 0
In this case, Quantity A is greater


case ii: The eight numbers are {-1,000,000, -1, -1, -1, 1, 1, 1, 1}
We get:
Quantity A: Average is some NEGATIVE number
Quantity B: Median = the average of the two middle numbers = (-1 + 1)/2 = 0/2 = 0
In this case, Quantity B is greater

Answer: D

Cheers,
Brent

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Re: QOTD #9 S is a set of 8 numbers, of which 4 are negative and   [#permalink] 23 Apr 2020, 08:41
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QOTD #9 S is a set of 8 numbers, of which 4 are negative and

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