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# A certain company's customer service department has five

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Senior Manager
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A certain company's customer service department has five [#permalink]

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16 Jan 2004, 10:40
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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
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shubhangi

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16 Jan 2004, 11:28
I wouls say none of the above !

Because some of the wages have to be in fractional cents?

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16 Jan 2004, 11:50
E

--------------------------------------------------------------------
stoolfi Posted:

--------------------------------------------------------------------

I wouls say none of the above !

Because some of the wages have to be in fractional cents?
--------------------------------------------------------------------

Why not?

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16 Jan 2004, 12:07
mantha-- I was copying kpadma's statement, and offering a guess at how he came up with his/her answer.

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16 Jan 2004, 12:21
E. We know that the range is from 5 to 20 for the 5 employees. Therefore, the total of the salaries combined should be between:
4*5 + 20 = 40
and
5 + 20*4 = 85

Of choices given:
1) 5*7.5 = 37.5 --> out of range
2) 5*9 = 45 --> good
3) 5*16.75 = 83.75 --> good

Only 2 and 3 are possible, therefore E
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Paul

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16 Jan 2004, 13:08
4*5 + 20 = 40
and
5 + 20*4 = 85
how did u get this part?
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shubhangi

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16 Jan 2004, 13:32
We are trying to find the range of the total salaries. If the salaries were between 5 and 20 inclusive, then we try to find the extreme values. Therefore, I assumed 2 scenarios.
1- 4 employees are paid the maximum (20\$) and there is one who is paid 5\$ --> 5 + 20*4 = 85
2- 4 employees are paid the minimum (5\$) and there is one who is paid 20\$ --> 4*5 + 20 = 40
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Paul

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16 Jan 2004, 13:38
thanks paul..understood
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shubhangi

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16 Jan 2004, 19:05
Shouldnt the range be
5*5 = 25
5*20 = 100

Why doesnt 1 work?

If all 5 employees earn \$7.50, then isnt the avg \$7.50?

What am i not seeing?

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16 Jan 2004, 19:10
Quote:
The hourly wage for each employee ranges from \$5 an hour to \$20 an hour.

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Paul

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16 Jan 2004, 19:37
Sorry Paul...maybe all the studying is making me stupid but I dont see it.

How can you get 40 as a min? If the 5 employees each earn \$5/hr then together they earn 25/hr. Right?

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16 Jan 2004, 20:43
All 5 cannot earn 5\$. At least one has to earn 20\$ because it is stated that that range of salaries is 5 to 20\$.
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Paul

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16 Jan 2004, 21:46
DOH!!!

I see. Thanks

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16 Jan 2004, 21:46
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