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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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92% (01:31) correct 7% (03:54) wrong based on 13 sessions


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
GRE - powerprep In a survey, 100 travel agents each ranked Airlines A, B, and C in order of preference..jpg [ 51.87 KiB | Viewed 2052 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?



[Reveal] Spoiler: OA
\(\frac{22}{100}\)

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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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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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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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