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Each of the n employees at a certain company has a different annual sa
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24 Jun 2018, 21:12
24 Jun 2018, 21:12
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A
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C
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E
Difficulty:
5%
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Question Stats:
88% (00:58) correct
12%
(01:05)
wrong
based on 2110
sessions
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.
(DS00254)
(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.
(DS00254)
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3709
Given Kudos: 165
Re: Each of the n employees at a certain company has a different annual sa
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25 Jun 2018, 02:17
25 Jun 2018, 02:17
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Expert Reply
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
Re: Each of the n employees at a certain company has a different annual sa
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07 Apr 2019, 08:07
07 Apr 2019, 08:07
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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.
Then, combining the statements we could find the salary since median would equal mean.
