Last visit was: 25 Nov 2024, 21:04 It is currently 25 Nov 2024, 21:04
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

A test is scored out of 100 and the scores are divided into

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4814
Own Kudos [?]: 11198 [3]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
A test is scored out of 100 and the scores are divided into [#permalink] New post   29 Jul 2018, 04:31
1
Expert Reply
2
Bookmarks
00:00

Question Stats:

54% (00:55) correct 45% (01:16) wrong based on 92 sessions

Hide Show timer Statistics

A test is scored out of 100 and the scores are divided into five quintile groups. Students are not told their scores, but only their quintile group.

Quantity A
Quantity B
The scores of two students in the bottom quintile group, chosen at random and added together.
The score of a student in the top quintile group, chosen at random.


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
ShowHide Answer
Official Answer
D
Most Helpful Expert Reply
User avatar
D
Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 30024
Own Kudos [?]: 36398 [6]
Given Kudos: 25929
Send PM
Re: A test is scored out of 100 and the scores are divided into [#permalink] New post   18 Nov 2018, 11:37
6
Expert Reply
Quintiles (“fifths” of the data) define relative scores, not absolute scores. Imagine two possible score distributions:

For instance: The class’s scores are 1, 2, 3, 4, 5 (20% of the class scored each of these). In this case, adding up two lowest quintile students would be 1 + 1 = 2, which is less than 5.

For instance: The class’s scores are 10, 11, 12, 13, 14 (20% of the class scored each of these — still not so sharp!). In this case, adding up two lowest quintile students would be 10 + 10 = 20, which is greater than 14.

Thus, you cannot determine which quantity is larger.

The answer is D.

Regards
General Discussion
avatar
khankhan
Intern
Intern
Joined: 07 Sep 2018
Posts: 35
Own Kudos [?]: 103 [0]
Given Kudos: 0
Send PM
Re: A test is scored out of 100 and the scores are divided into [#permalink] New post   08 Sep 2018, 07:38
the explanation ?? please
User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4814
Own Kudos [?]: 11198 [0]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
Re: A test is scored out of 100 and the scores are divided into [#permalink] New post   08 Sep 2018, 12:55
2
Expert Reply
Explanation

Since the average is 7, use the average formula to find the sum of the scores in the class:
Average = Sum ÷ (# of terms)
7 = Sum ÷ 20

Sum = 140

At least one student got every possible score. There are eleven possible scores: 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10. This is an evenly spaced set, so calculate the sum by multiplying the average of the set by the number of terms in the set. The average is (10 + 0)/2 = 5 and the number of terms is 11, so the sum of the set is 5 × 11 = 55. Subtract this from the earlier sum; the remaining 9 students had to score 140 – 55 = 85 points.

Quantity A is asks for the lowest score that could have been received by more than one student. If 9 students scored a total of 85 points, and any one student could not score more than 10 points, then what is the lowest possible score that one of these 9 students could have received? In order to
minimize that number, maximize the numbers for the other students. If 8 students scored 10 points each, for a total of 80 points, then the 9th student must have scored exactly 5. Quantity A must be greater than Quantity B. Notice that the average score of 7 forces a lot of the scores to be 10 in order
to to balance out the very low scores of 0, 1, 2, etc., that are required in the class (at least one of each). The lowest score that could have been received by 2 students is 5, so Quantity A is 5.
avatar
projectoffset
Intern
Intern
Joined: 15 Sep 2018
Posts: 23
Own Kudos [?]: 15 [0]
Given Kudos: 0
Send PM
Re: A test is scored out of 100 and the scores are divided into [#permalink] New post   17 Nov 2018, 21:02
sandy wrote:
Explanation

Since the average is 7, use the average formula to find the sum of the scores in the class:
Average = Sum ÷ (# of terms)
7 = Sum ÷ 20

Sum = 140

At least one student got every possible score. There are eleven possible scores: 0 + 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10. This is an evenly spaced set, so calculate the sum by multiplying the average of the set by the number of terms in the set. The average is (10 + 0)/2 = 5 and the number of terms is 11, so the sum of the set is 5 × 11 = 55. Subtract this from the earlier sum; the remaining 9 students had to score 140 – 55 = 85 points.

Quantity A is asks for the lowest score that could have been received by more than one student. If 9 students scored a total of 85 points, and any one student could not score more than 10 points, then what is the lowest possible score that one of these 9 students could have received? In order to
minimize that number, maximize the numbers for the other students. If 8 students scored 10 points each, for a total of 80 points, then the 9th student must have scored exactly 5. Quantity A must be greater than Quantity B. Notice that the average score of 7 forces a lot of the scores to be 10 in order
to to balance out the very low scores of 0, 1, 2, etc., that are required in the class (at least one of each). The lowest score that could have been received by 2 students is 5, so Quantity A is 5.


Where did you obtain average = 7? Has the original question been changed? This reply does not seem to relate to the original post in any way. We are told no averages in the original post and it only refers to quintiles. The answer is listed as D.
avatar
projectoffset
Intern
Intern
Joined: 15 Sep 2018
Posts: 23
Own Kudos [?]: 15 [0]
Given Kudos: 0
Send PM
Re: A test is scored out of 100 and the scores are divided into [#permalink] New post   18 Nov 2018, 15:39
1
Carcass wrote:
Quintiles (“fifths” of the data) define relative scores, not absolute scores. Imagine two possible score distributions:

For instance: The class’s scores are 1, 2, 3, 4, 5 (20% of the class scored each of these). In this case, adding up two lowest quintile students would be 1 + 1 = 2, which is less than 5.

For instance: The class’s scores are 10, 11, 12, 13, 14 (20% of the class scored each of these — still not so sharp!). In this case, adding up two lowest quintile students would be 10 + 10 = 20, which is greater than 14.

Thus, you cannot determine which quantity is larger.

The answer is D.

Regards



Thank you.
avatar
S
Asmakan
Senior Manager
Senior Manager
Joined: 17 Aug 2019
Posts: 381
Own Kudos [?]: 200 [0]
Given Kudos: 96
Send PM
Re: A test is scored out of 100 and the scores are divided into [#permalink] New post   08 Oct 2020, 02:55
Carcass wrote:
Quintiles (“fifths” of the data) define relative scores, not absolute scores. Imagine two possible score distributions:

For instance: The class’s scores are 1, 2, 3, 4, 5 (20% of the class scored each of these). In this case, adding up two lowest quintile students would be 1 + 1 = 2, which is less than 5.

For instance: The class’s scores are 10, 11, 12, 13, 14 (20% of the class scored each of these — still not so sharp!). In this case, adding up two lowest quintile students would be 10 + 10 = 20, which is greater than 14.

Thus, you cannot determine which quantity is larger.

The answer is D.

Regards



What does that mean " define relative scores, not absolute scores"?
avatar
B
DineshReddy
Intern
Intern
Joined: 24 Apr 2022
Posts: 17
Own Kudos [?]: 7 [0]
Given Kudos: 12
Send PM
Re: A test is scored out of 100 and the scores are divided into [#permalink] New post   10 Aug 2022, 22:05
Asmakan wrote:
Carcass wrote:
Quintiles (“fifths” of the data) define relative scores, not absolute scores. Imagine two possible score distributions:

For instance: The class’s scores are 1, 2, 3, 4, 5 (20% of the class scored each of these). In this case, adding up two lowest quintile students would be 1 + 1 = 2, which is less than 5.

For instance: The class’s scores are 10, 11, 12, 13, 14 (20% of the class scored each of these — still not so sharp!). In this case, adding up two lowest quintile students would be 10 + 10 = 20, which is greater than 14.

Thus, you cannot determine which quantity is larger.

The answer is D.

Regards



What does that mean " define relative scores, not absolute scores"?


scores between 10-20 consider relative scores for example for the first group, while absolute scores are like the exact number like 20/21/22
Prep Club for GRE Bot
gmatclubot
Re: A test is scored out of 100 and the scores are divided into [#permalink]
10 Aug 2022, 22:05
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact