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In a survey, 100 travel agents each ranked Airlines ​ A ​ ,
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In a survey, 100 travel agents each ranked Airlines ​ A ​ , [#permalink] New post  24 Jan 2017, 03:04
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In a survey, 100 travel agents each ranked Airlines A, B, and C in order of preference. Each of the 100 travel agents also rated the three airlines in five categories on a scale of 1 through 10, with 10 being the best rating.

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GRE - powerprep In a survey, 100 travel agents each ranked Airlines A, B, and C in order of preference..jpg [ 51.87 KiB | Viewed 42648 times ]


The sum of the five average ratings was calculated for each of the three airlines.The airline with the least sum was ranked 1st by what fraction of the travel agents?



Show: :: OA
\(\frac{22}{100}\)

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sandy
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Re: In a survey, 100 travel agents each ranked Airlines ​ A ​ , [#permalink] New post  28 Jan 2017, 04:37
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Explanation

Start by computing the sums of the average ratings using the table:

CategoryABC
Convenience5.18.04.3
Friendliness5.05.55.4
Price5.06.43.5
Promptness6.56.94.1
Reliability7.87.54.9
Total:29.434.322.2


The airline with the least sum is C (22.2)

Now look at the pie graph to see how many travel agents ranked Airline C first. The bottom left quadrant of the circle has 20 agents rating CAB, meaning C was first, A was second and B was third. Above this, 2 agents rated CBA, meaning C was first, B was second, and A was third. So in all 22 agents (20 + 2) rated C first.

Now determine the fraction: 22 travel agents out of 100 total rated C first, so 22/100.
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aj
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Re: In a survey, 100 travel agents each ranked Airlines ​ A ​ , [#permalink] New post  01 Apr 2017, 23:59
Can '11/50' be the answer, too?
I'm Korean, and it is common to reduce a fraction in Korea.
When I submit 11/50 as an answer, will ETS grade it as the wrong?
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sandy
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Re: In a survey, 100 travel agents each ranked Airlines ​ A ​ , [#permalink] New post  02 Apr 2017, 01:33
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aj wrote:
Can '11/50' be the answer, too?
I'm Korean, and it is common to reduce a fraction in Korea.
When I submit 11/50 as an answer, will ETS grade it as the wrong?


11/50 is also correct! You can reduce to lowest fractions in such questions.
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Re: In a survey, 100 travel agents each ranked Airlines ​ A ​ , [#permalink] New post  04 Feb 2021, 10:05
Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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