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A certain company's customer service department has five employees.

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Bunuel
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A certain company's customer service department has five employees. [#permalink] New post   04 Dec 2022, 02:09
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A certain company's customer service department has five employees. The hourly wages of the employees range from $5 an hour to $20 an hour, inclusive. Which of the following could be the average (arithmetic mean) hourly wage for the customer service employees?

I. $7.50 an hour
II. $9 an hour
III. $16.75 an hour

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III


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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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D
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stne
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A certain company's customer service department has five employees. [#permalink] New post   Updated on: 10 Dec 2022, 22:06
Bunuel wrote:
A certain company's customer service department has five employees. The hourly wages of the employees range from $5 an hour to $20 an hour, inclusive. Which of the following could be the average (arithmetic mean) hourly wage for the customer service employees?

I. $7.50 an hour
II. $9 an hour
III. $16.75 an hour

A. I only
B. II only
C. III only
D. II and III only
E. I, II, and III


Minimum avg.= \(5 \hspace{1mm}5 \hspace{1mm} 5 \hspace{1mm} 5 \hspace{1mm} 20=\frac{40}{5}= 8 \)

Max avg= \(5 \hspace{1mm}20 \hspace{1mm} 20 \hspace{1mm} 20 \hspace{1mm} 20=\frac{85}{5}= 17\)


So the avg must lie between \(8\) and \(17\)\(\)

Hence we can rule out A, ans D

Hope its clear.

Originally posted by stne on 10 Dec 2022, 08:11.
Last edited by stne on 10 Dec 2022, 22:06, edited 1 time in total.
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A certain company's customer service department has five employees. [#permalink] New post   Updated on: 11 Dec 2022, 10:28
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The question says that there are 5 employees with a salary range of 5 to 20. That means there are 2 people who have a fixed salary of 5 and 20. That leaves us with 3 people whose salaries can vary.

Now comparing the two extremes:

1) If the salary of 5 people are 5,5,5,5,20 then the average salary comes out to be a minimum of 8. With this we can remove option I.
2) If the salary of 5 people are 5,20,20,20,20 then the average salary comes out to be a minimum of 17, which is still higher than what we have in the other two options so the salaries mentioned in option 2 are still feasible.

Hence, the answer would be D.

Originally posted by shourya8 on 10 Dec 2022, 11:58.
Last edited by shourya8 on 11 Dec 2022, 10:28, edited 1 time in total.
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Re: A certain company's customer service department has five employees. [#permalink] New post   10 Dec 2022, 22:08
shourya8 wrote:
The question says that there are 5 employees with a salary range of 5 to 20. That means there are 2 people who have a fixed salary of 5 and 20. That leaves us with 3 people whose salaries can vary.

Now comparing the two extremes:

1) If the salary of 5 people are 5,5,5,5,20 then the average salary comes out to be a minimum of 8. With this we can remove option I.
2) If the salary of 5 people are 5,20,20,20,20 then the average salary comes out to be a minimum of 17, which is still higher than what we have in the other two options so the salaries mentioned in option 2 is still feasible.

Hence, the answer would be D.


Right, did not see that range word. Fixed my solution accordingly.
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Re: A certain company's customer service department has five employees. [#permalink]
10 Dec 2022, 22:08
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