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# A certain company's customer service department has five

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Joined: 05 May 2003
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A certain company's customer service department has five [#permalink]

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13 May 2003, 11:37
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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 Joined: 13 May 2003 Posts: 6 Location: Portland, USA Followers: 0 Kudos [?]: 1 [0], given: 0 [#permalink] ### Show Tags 13 May 2003, 12:09 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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29 Jan 2004, 09:41
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.
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