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# Company A has a total of n emloyees, where n is an odd

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Manager
Joined: 23 Mar 2008
Posts: 211
Company A has a total of n emloyees, where n is an odd  [#permalink]

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12 Jun 2008, 12:27
Company A has a total of n emloyees, where n is an odd integer, and no two employees have the same annual salary. The annual salary of the n employees are listed in increasing order, and the 16th salary in the list is the median of the annual salaries. If the sum of the annual salaries of Company A's employees is \$942,000, what is the average (arithmetic mean) of the annual salaries of Company A's employees?

a) \$29,450
b) \$30,400
c) \$32,500
d) \$47,120
e) \$58,900

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Manager
Joined: 20 Mar 2008
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Location: USA
Re: arithmetic mean of annual salaries  [#permalink]

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12 Jun 2008, 12:37
B

Since the n is odd and 16th is the Median, n must be 31.

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Joined: 30 Apr 2008
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Re: arithmetic mean of annual salaries  [#permalink]

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12 Jun 2008, 12:40
1
The answer has to be B, but I'm getting a slightly different number when I do the math.

First, we know n number of employees is odd. That is reinforced when we see the median value is the 16th salary on the list. That means that the total number of employees is (16*2)-1 = 31 total employees.

\$942,000 divided by 31 is just under \$30,400. I guess since no one employee has the same annual salary, this accounts for the difference, but I'm probably missing something.

puma wrote:
Company A has a total of n emloyees, where n is an odd integer, and no two employees have the same annual salary. The annual salary of the n employees are listed in increasing order, and the 16th salary in the list is the median of the annual salaries. If the sum of the annual salaries of Company A's employees is \$942,000, what is the average (arithmetic mean) of the annual salaries of Company A's employees?

a) \$29,450
b) \$30,400
c) \$32,500
d) \$47,120
e) \$58,900

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Re: arithmetic mean of annual salaries  [#permalink]

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12 Jun 2008, 15:52
i get B as well..its the only number that works..

942/31=30.0x
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Re: Company A has a total of n emloyees, where n is an odd  [#permalink]

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21 Feb 2019, 09:10
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Re: Company A has a total of n emloyees, where n is an odd   [#permalink] 21 Feb 2019, 09:10
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