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Fifteen college seniors, none of whom took any math classes

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Senior Manager
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Fifteen college seniors, none of whom took any math classes [#permalink] New post 11 Oct 2017, 22:12
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Fifteen college seniors, none of whom took any math classes in college, were selected for a clinical trial. An online GRE Math Course was made available to them, and these students were allowed to study for however many hours they wanted. Then, each took the GRE for their first time. The graph below records how many hours each student studied, using the online material, and that student’s GRE Quant score. The best-fit line model shows the best prediction, given such a student’s hours of study, of what her GRE Q score might be.

Image
1) Among the students in this trial who studied less than 25 hours, what is the highest GRE Quant score achieved?

(A) 146

(B) 149

(C) 154

(D) 157

(E) 165

[Reveal] Spoiler: OA
C




2) For the students in this trial with the three highest scores, approximately what is the average number of hours they spend studying?

(A) 29

(B) 32

(C) 35

(D) 39

(E) 43

[Reveal] Spoiler: OA
D




3) Among the students in this trial who studied for 20 hours or more, what fraction of them performed worse than expected, according to the best-fit line model? Express your answer as a fraction.



[Reveal] Spoiler: OA
3/10



[Reveal] Spoiler:
Attachment:
Hours-Studied-GRE-Q-score.jpg
Hours-Studied-GRE-Q-score.jpg [ 24.96 KiB | Viewed 257 times ]


Kudos for correct solution.
Intern
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Joined: 12 Oct 2017
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Kudos [?]: 12 [0], given: 3

Re: Fifteen college seniors, none of whom took any math classes [#permalink] New post 13 Oct 2017, 03:58
Answer

1 - C
2 - D
3 - 3/10
Senior Manager
Senior Manager
Joined: 20 May 2014
Posts: 282
Followers: 7

Kudos [?]: 35 [0], given: 219

Re: Fifteen college seniors, none of whom took any math classes [#permalink] New post 13 Oct 2017, 05:35
Rajneesh Garg wrote:
Answer

1 - C
2 - D
3 - 3/10


The OA's are already given. Please post solutions too. Thank you.
Director
Director
Joined: 03 Sep 2017
Posts: 522
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Kudos [?]: 225 [0], given: 66

Re: Fifteen college seniors, none of whom took any math classes [#permalink] New post 15 Oct 2017, 01:05
Q1: Among the points representing those students who study less than 25 hours, the highest is the second from the right whose score can be read on the y axis as 154 (C)

Q2: The three students with the highest GRE scores have studied roughly 28, 43 and 45 hours. Thus the mean is 28+43+45/3 = 38.6 which can be rounded to 39. (D)

Q3: To compute the ratio of those scoring less than expected, we can compute the denominator as the sum of the points after 20 hours of study and at the numerator those below the fit line. This leads to a ratio of 3/10
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Fifteen college seniors, none of whom took any math classes

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