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# A certain company's customer service department has five

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

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16 Jan 2004, 09:40
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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 _________________ shubhangi Director Joined: 28 Oct 2003 Posts: 501 Location: 55405 Followers: 1 Kudos [?]: 24 [0], given: 0 ### Show Tags 16 Jan 2004, 10:28 I wouls say none of the above ! Because some of the wages have to be in fractional cents? Manager Joined: 11 Oct 2003 Posts: 102 Location: USA Followers: 1 Kudos [?]: 0 [0], given: 0 [#permalink] ### Show Tags 16 Jan 2004, 10:50 E -------------------------------------------------------------------- stoolfi Posted: -------------------------------------------------------------------- I wouls say none of the above ! Because some of the wages have to be in fractional cents? -------------------------------------------------------------------- Why not? Director Joined: 28 Oct 2003 Posts: 501 Location: 55405 Followers: 1 Kudos [?]: 24 [0], given: 0 ### Show Tags 16 Jan 2004, 11:07 mantha-- I was copying kpadma's statement, and offering a guess at how he came up with his/her answer. GMAT Club Legend Joined: 15 Dec 2003 Posts: 4302 Followers: 40 Kudos [?]: 429 [0], given: 0 ### Show Tags 16 Jan 2004, 11:21 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 _________________ Best Regards, Paul Senior Manager Joined: 30 Aug 2003 Posts: 324 Location: dallas , tx Followers: 1 Kudos [?]: 26 [0], given: 0 ### Show Tags 16 Jan 2004, 12:08 4*5 + 20 = 40 and 5 + 20*4 = 85 how did u get this part? _________________ shubhangi GMAT Club Legend Joined: 15 Dec 2003 Posts: 4302 Followers: 40 Kudos [?]: 429 [0], given: 0 ### Show Tags 16 Jan 2004, 12:32 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 _________________ Best Regards, Paul Senior Manager Joined: 30 Aug 2003 Posts: 324 Location: dallas , tx Followers: 1 Kudos [?]: 26 [0], given: 0 ### Show Tags 16 Jan 2004, 12:38 thanks paul..understood _________________ shubhangi Intern Joined: 01 Dec 2003 Posts: 35 Location: infront of my LCD Followers: 0 Kudos [?]: 0 [0], given: 0 ### Show Tags 16 Jan 2004, 18:05 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? GMAT Club Legend Joined: 15 Dec 2003 Posts: 4302 Followers: 40 Kudos [?]: 429 [0], given: 0 ### Show Tags 16 Jan 2004, 18:10 Quote: The hourly wage for each employee ranges from$5 an hour to $20 an hour. _________________ Best Regards, Paul Intern Joined: 01 Dec 2003 Posts: 35 Location: infront of my LCD Followers: 0 Kudos [?]: 0 [0], given: 0 ### Show Tags 16 Jan 2004, 18:37 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$5/hr then together they earn 25/hr. Right?
GMAT Club Legend
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16 Jan 2004, 19:43
All 5 cannot earn 5$. At least one has to earn 20$ because it is stated that that range of salaries is 5 to 20\$.
_________________

Best Regards,

Paul

Intern
Joined: 01 Dec 2003
Posts: 35
Location: infront of my LCD
Followers: 0

Kudos [?]: 0 [0], given: 0

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16 Jan 2004, 20:46
DOH!!!

I see. Thanks
16 Jan 2004, 20:46
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