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# The median salary of the employees in the sales department in 1999 was

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Math Expert
Joined: 02 Sep 2009
Posts: 50042
The median salary of the employees in the sales department in 1999 was  [#permalink]

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16 Oct 2017, 10:16
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Difficulty:

25% (medium)

Question Stats:

71% (01:36) correct 29% (01:36) wrong based on 72 sessions

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The median salary of the employees in the sales department in 1999 was \$x . The average raise for the next year was \$800 per employee. What was the median salary of the employees in the sales department in 2000?

(1) x = 48,000
(2) The range of the salaries in the sales department in 2000 was \$12,000.

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Joined: 28 Dec 2010
Posts: 49
The median salary of the employees in the sales department in 1999 was  [#permalink]

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Updated on: 25 Oct 2017, 12:25
We know the mean is \$x. But we don't know how many values are there, what is the range, and how are they spread out.
We also know that average increase is \$800. It doesn't say whether 1 employee got a raise of \$800*n or everyone got \$800 or salaries were distributed in some other format.

1. Knowing the median doesn't help in calculating the median in 2000. The numbers could be distributed in many ways.
eg1:
1999: 47500, 48000, 48,500
2000: 47500, 48000, 50900
Median: 48000

eg2:
1999: 47500, 48000, 48500
2000: 48000, 49000, 49900
Median: 49000

Not sufficient.

2. Knowing the range also doesn't help.
Not sufficient.

Even if we know both. It is not sufficient.
1999: 47000,48000,59000

2000 (1st possibility): 47800, 48800,59800 : Median - 48800
2000 (2nd possibility): 48200, 48000,60200 : Median - 48200

There are thousands of possibilities.

E.
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Originally posted by Abhishiek on 16 Oct 2017, 22:51.
Last edited by Abhishiek on 25 Oct 2017, 12:25, edited 1 time in total.
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Joined: 08 Feb 2015
Posts: 23
Re: The median salary of the employees in the sales department in 1999 was  [#permalink]

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23 Oct 2017, 07:39
Abhishiek wrote:
We know the mean is \$x. But we don't know how many values are there, what is the range, and how are they spread out.
We also know that average increase is \$800. It doesn't say whether 1 employee got a raise of \$800*n or everyone got \$800 or salaries were distributed in some other format.

1. Knowing the mean doesn't help.
Not sufficient.

2. Knowing the range also doesn't help.
Not sufficient.

Even if we know both. It is not sufficient.
eg1:
1999: 47500, 48000, 48,500
2000: 47500, 48000, 50900
Median: 48000

eg2:
1999: 47500, 48000, 48500
2000: 48000, 49000, 49900
Median: 49000

There are thousands of possibilities.

E.

Erm. Statement 1 is giving us the MEDIAN, not the MEAN.. So A should be sufficient.
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Joined: 28 Dec 2010
Posts: 49
Re: The median salary of the employees in the sales department in 1999 was  [#permalink]

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25 Oct 2017, 12:26
antztheman wrote:

Erm. Statement 1 is giving us the MEDIAN, not the MEAN.. So A should be sufficient.

Hey, there was a typo in my OA. I meant "median" only.
Have added more explanation to why A would be incorrect.
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Re: The median salary of the employees in the sales department in 1999 was &nbs [#permalink] 25 Oct 2017, 12:26
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