GMAT Official Guide 2019 Each of the n employees at

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

GMAT Official Guide 2019 Each of the n employees at

by BTGmoderatorDC » Tue Jul 03, 2018 5:01 pm

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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.

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Source: Beat The GMAT — Data Sufficiency | Tue Jul 03, 2018 5:01 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Wed Jul 04, 2018 12:09 am

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BTGmoderatorDC 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.

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

We have to determine the median of the annual salaries of the n employees.

Let's take each statement one by one.

(1) When the annual salaries of the n employees are listed in increasing order, the median is the 15th salary.

=> There are 14 + 1 + 14 = 29 employees. Can't get median value. Insufficient.

(2) The sum of the annual salaries of the n employees is $913,500.

Can't get median value. Insufficient.

(1) and (2) together

We have = 29 and Sum of the salaries = $913,500; thus, the mean salary = $913,500/29; however, we can't get median value. Insufficient.

The correct answer: E

Hope this helps!

-Jay
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Re: GMAT Official Guide 2019 Each of the n employees at

by Scott@TargetTestPrep » Sat May 01, 2021 7:53 am

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BTGmoderatorDC wrote: ↑
Tue Jul 03, 2018 5:01 pm
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.

Solution:

Question Stem Analysis:

We need to determine the median of the annual salaries of the n employees at a certain company.

Statement One Alone:

Since we know the median salary is the 15th highest salary, we can determine that the value of n is 29. That is, there are 29 employees in the company. However, we can’t determine the median of the annual salaries of the 29 employees. Statement one alone is not sufficient.

Statement Two Alone:

Knowing the sum of the annual salaries does not allow the median of the annual salaries of the n employees to be discerned. Statement two alone is not sufficient.

Statements One and Two Together:

With the two statements, we can determine the average (or arithmetic mean) annual salary of the 29 employees. However, we still can’t determine the median annual salary since the mean and the median of a set of numbers are not necessarily the same value. Both statements together are not sufficient.

Answer: E

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