Last visit was: 05 Nov 2024, 15:12 It is currently 05 Nov 2024, 15:12

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: 19 Oct 2020
Posts: 8
Own Kudos [?]: 35 [7]
Given Kudos: 0
Send PM
avatar
Manager
Manager
Joined: 19 Mar 2018
Posts: 64
Own Kudos [?]: 37 [3]
Given Kudos: 0
Send PM
Manager
Manager
Joined: 25 Jul 2020
Posts: 75
Own Kudos [?]: 74 [4]
Given Kudos: 1
Send PM
Intern
Intern
Joined: 30 Nov 2020
Posts: 26
Own Kudos [?]: 4 [0]
Given Kudos: 14
Send PM
Re: In the distribution of the variable A, the mean is 56.... [#permalink]
Can someone please help with this question?
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Own Kudos [?]: 3209 [2]
Given Kudos: 172
Location: India
WE:Education (Education)
Send PM
In the distribution of the variable A, the mean is 56.... [#permalink]
2
bunterocks wrote:
In the distribution of the variable A, the mean is 56 and the measurement p lies between the 65th and 70th percentiles. In the distribution of measurements of variable B, the mean is 56 and the measurement q lies between the 75th and 80th percentiles.

Quantity A
Quantity B
p
q


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


In a normal distribution - 65th, 70th, 75th, 80th percentiles all lie between mean and 1σ above mean.

Here, both the distributions A and B have a mean of 56, but, we have no idea about their standard deviation!
Let's take 2 cases here;

Case I:
\(σ_A = 10\)
\(σ_B = 2\)

Col. A: a value between 56 and 66
Col. B: a value between 56 and 58

So. Col. A > Col. B

Case II:
\(σ_A = 2\)
\(σ_B = 10\)

Col. A: a value between 56 and 58
Col. B: a value between 56 and 66

So. Col. A < Col. B

Hence, option D
Intern
Intern
Joined: 30 Nov 2020
Posts: 26
Own Kudos [?]: 4 [0]
Given Kudos: 14
Send PM
Re: In the distribution of the variable A, the mean is 56.... [#permalink]
KarunMendiratta wrote:
bunterocks wrote:
In the distribution of the variable A, the mean is 56 and the measurement p lies between the 65th and 70th percentiles. In the distribution of measurements of variable B, the mean is 56 and the measurement q lies between the 75th and 80th percentiles.

Quantity A
Quantity B
p
q


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


In a normal distribution - 65th, 70th, 75th, 80th percentiles all lie between mean and 1σ above mean.

Here, both the distributions A and B have a mean of 56, but, we have no idea about their standard deviation!
Let's take 2 cases here;

Case I:
\(σ_A = 10\)
\(σ_B = 2\)

Col. A: a value between 56 and 66
Col. B: a value between 56 and 58

So. Col. A > Col. B

Case II:
\(σ_A = 2\)
\(σ_B = 10\)

Col. A: a value between 56 and 58
Col. B: a value between 56 and 66

So. Col. A < Col. B

Hence, option D


Thanks a lot for the detailed explanation.
User avatar
GRE Prep Club Legend
GRE Prep Club Legend
Joined: 07 Jan 2021
Posts: 5006
Own Kudos [?]: 74 [0]
Given Kudos: 0
Send PM
Re: In the distribution of the variable A, the mean is 56.... [#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: In the distribution of the variable A, the mean is 56.... [#permalink]
Moderators:
GRE Instructor
77 posts
GRE Forum Moderator
37 posts
Moderator
1111 posts
GRE Instructor
228 posts

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