Last visit was: 15 Nov 2024, 07:55 It is currently 15 Nov 2024, 07:55

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.

Close

Request Expert Reply

Confirm Cancel
avatar
Intern
Intern
Joined: 06 Apr 2018
Posts: 1
Own Kudos [?]: 5 [5]
Given Kudos: 0
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29960
Own Kudos [?]: 36231 [0]
Given Kudos: 25905
Send PM
Verbal Expert
Joined: 18 Apr 2015
Posts: 29960
Own Kudos [?]: 36231 [0]
Given Kudos: 25905
Send PM
avatar
Retired Moderator
Joined: 20 Apr 2016
Posts: 1307
Own Kudos [?]: 2273 [2]
Given Kudos: 251
WE:Engineering (Energy and Utilities)
Send PM
Re: Jane scored in the 68th percentile on a test, and John score [#permalink]
2
Carcass wrote:
my solving
but what I thought is that if there are 100 people, and score is distributed normally(1 to 100)
John's score is 32. so less than 32 is 31(31 people)
Jane's score is 68. so equal to or greater than 68 is 32(32 people with Jane)
than Quantity can be greater, but what's the problem of my solving?


this is answer from book.
Percentiles define the proportion of a group that scores below a particular benchmark. Since John scored in the 32nd percentile, by definition, 32% of the class scored worse than John. Quantity A is equal to 32%
Jane scored in the 68th percentile, so 68% of the class scored worse than she did. Since 100 - 68 = 32, 32% of the class scored equal to or greater than Jane. Quantity B is also equal to 32%
official answer is C (so Quantity A is equal to Quantity B)



Help on this

Plz if someone can guide me on this :| :

My reasoning,

Since it is a normally distributed curve, and if I consider with the total of 100 students,

so the number of students from 32 to 68 = 50 i.e if 50 is taken as mean then 18 will be 1 SD below = 32 and 18 will 1 SD above mean = 68

i.e. 68% consist of the students whose score is in between John and jane

and the rest 32% will consist the score that are either below or above the score of John and Jane. i.e. half of 32% i.e. 16% will be below John's score and the other 1/2 i.e. 16% will be above Jane's score.

Hence the two quantities will be equal
avatar
Manager
Manager
Joined: 22 Jul 2018
Posts: 80
Own Kudos [?]: 105 [0]
Given Kudos: 0
Send PM
Re: Jane scored in the 68th percentile on a test, and John score [#permalink]
1
Jane scored in the 68th percentile on a test, and John scored in the 32nd percentile.
Jane is on 68th percentile
so difference from mean to percentile is 18

John e is on 32nd percentile
so difference from mean to percentile is 18

Quantity A:The proportion of the class that received a score less than John's score
John score is 32. The class received a score less than 32 is 32

Quantity B:The proportion of the class that scored equal to or greater than Jane's score
Jane score is 68. The class received a score greater than 68 is 32

Hence C
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5014
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: Jane scored in the 68th percentile on a test, and John score [#permalink]
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).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Prep Club for GRE Bot
Re: Jane scored in the 68th percentile on a test, and John score [#permalink]
Moderators:
GRE Instructor
78 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
234 posts

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