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QOTD # 5 The sum of the annual salaries of the 21 teachers a

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QOTD # 5 The sum of the annual salaries of the 21 teachers a [#permalink]  13 Sep 2016, 02:03
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Question Stats:

80% (01:12) correct 19% (01:15) wrong based on 41 sessions
The sum of the annual salaries of the 21 teachers at School X is $781,200. Twelve of the 21 teachers have an annual salary that is less than$37,000.

 Quantity A Quantity B The average (arithmetic mean) of the annual salaries of the teachers at School X The median of the annual salaries of the teachers at School X

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Practice Questions
Question: 5
Page: 203
[Reveal] Spoiler: OA

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Founder
Joined: 18 Apr 2015
Posts: 8780
Followers: 175

Kudos [?]: 2044 [1] , given: 8095

Re: QOTD # 5 The sum of the annual salaries of the 21 teachers a [#permalink]  13 Sep 2016, 02:05
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Explanation

The average of the annual salaries of the 21 teachers is $$\frac{781,200}{21}$$ or $$37,200$$ By definition, the median of the 21 annual salaries is the 11th salary when the 21 salaries are listed in increasing order. Note that in the question you are given that 12 of the salaries are less than $37,000. Thus, when the 21 salaries are listed in increasing order, the first 12 salaries in the list are less than$37,000. Thus the median of the salaries, which is the 11th salary in the list, is less than $37,000, which is less than the average salary of$37,200.

The correct answer is Choice A.
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Re: QOTD # 5 The sum of the annual salaries of the 21 teachers a   [#permalink] 13 Sep 2016, 02:05
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