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Each of the n employees at a certain company has a different annual sa

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New post 24 Jun 2018, 21:12
1
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A
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C
D
E

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Question Stats:

85% (00:54) correct 15% (01:03) wrong based on 548 sessions

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Each of the n employees at a certain company has a different annual salary. What is the median of the annual salaries of the n employees?

(1) When the annual salaries of the n employees are listed in increasing order, the median is the 15th salary.
(2) The sum of the annual salaries of the n employees is $913,500.


NEW question from GMAT® Official Guide 2019


(DS00254)

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Re: Each of the n employees at a certain company has a different annual sa  [#permalink]

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New post 24 Jun 2018, 22:23
IMO E
Is there a different "style" to the additional 2019 questions? I don't have the book.
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New post 25 Jun 2018, 02:17
2

Solution



Given:
    • Each of the n employees at a certain company has a different annual salary

To find:
    • The median of the annual salaries of the n employees

Analysing Statement 1
    • As per the information given in statement 1, when the annual salaries of the n employees are listed in increasing order, the median is the 15th salary.
      o From this we can only say that there are 14 + 1 + 14 = 29 employees in the company, or n = 29
      o But from this statement, we cannot find out any specific value of the median salary, which is the salary of the 15th employee, in increasing order

Hence, statement 1 is not sufficient to answer

Analysing Statement 2
    • As per the information given in statement 2, the sum of the annual salaries of the n employees is $913,500
      o From this we cannot find any information about the median salary, as we don’t have any data about the individual salaries of the n employees

Hence, statement 2 is not sufficient to answer

Combining Both Statements
Combining the information from both the statements, we can write:
    • The median salary is the 15th salary – hence total number of employees will be 29
    • The sum of the annual salaries of all the employees is $913,500
      o From this, we can find out the mean salaries of all the employees but not necessarily the median

Hence, the correct answer is option E.

Answer: E
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New post 26 Jun 2018, 13:02
Top Contributor
Anyone else notice how many of the new quant questions are related to Medians?

Seems almost excessive.

Cheers,
Brent
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Re: Each of the n employees at a certain company has a different annual sa  [#permalink]

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New post 28 Jun 2018, 00:34
Bunuel wrote:
Each of the n employees at a certain company has a different annual salary. What is the median of the annual salaries of the n employees?

(1) When the annual salaries of the n employees are listed in increasing order, the median is the 15th salary.
(2) The sum of the annual salaries of the n employees is $913,500.


NEW question from GMAT® Official Guide 2019


(DS00254)


We need to find the value of the median salary.

St 1: The median is the 15th salary, so we can say company has 14 + 1 + 14 = 29 employees or n = 29.
We don't get any value for the median salary - Insufficient

St 2: the sum of the annual salaries of the n employees is $913,500
No information about the median salary, as we don’t have any information about the individual salaries.

Combine, we don't get any value for the median salary. Hence OA (E)
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Re: Each of the n employees at a certain company has a different annual sa  [#permalink]

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New post 07 Apr 2019, 08:07
One thing to note is that the answer would be C if the problem was changed to state "Each of the n employees at a certain company has the same annual salary."

Then, combining the statements we could find the salary since median would equal mean.
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Re: Each of the n employees at a certain company has a different annual sa   [#permalink] 07 Apr 2019, 08:07
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