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A certain company's customer service department has five

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Intern
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Joined: 05 May 2003
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A certain company's customer service department has five [#permalink] New post 13 May 2003, 10:37
00:00
A
B
C
D
E

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(N/A)

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0% (00:00) correct 0% (00:00) wrong based on 1 sessions
A certain company's customer service department has five employees. The hourly wage for each employee ranges from $5 an hour to $20 an hour.
Which of the following could be the average (arithmetic mean) hourly wage
for the customer service employees?

1) $7.50 an hour
2) $9 an hour
3) $16.75 an hour

A. 1 only
B. 2 only
C. 3 only
D. 1 and 2 only
E. 2 and 3 only
Intern
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 [#permalink] New post 13 May 2003, 11:09
The answer is E. Since the hourly wage for 2 of the workers is given as 5 and 20, the lowest possible total that we must average is

5+20+5+5+5 = 45

The average wage at the low end is therefore 45/5 = 8

The highest possible total wage is

5+20+20+20+20 = 85

The average wage at the high end is 85/5 = $17

Therefore, only choices 2 and 3 are possible, and the answer is E
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 [#permalink] New post 29 Jan 2004, 08:41
Got E as well.
The key is sum of wages of two employees is 5+20 = 25
Now this sume should be subtracted from Average*5 and divide this resulting wage amoung three people such that it does not fall below 5 and fall above 20.
  [#permalink] 29 Jan 2004, 08:41
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