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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
In a distribution of the values of the variable x, the 50th
[#permalink]
29 Nov 2019, 02:38
29 Nov 2019, 02:38
1
Expert Reply
6
Bookmarks
00:00
Question Stats:
61% (00:50) correct
38% (01:04) wrong based on 185 sessions
Hide Show timer Statistics
In a distribution of the values of the variable x, the 50th percentile is 48.5, and the 60th percentile is 56.5.
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.
Kudos for the right answer and explanation
Quantity A |
Quantity B |
The 40th percentile of the distribution of the values of x |
40.5 |
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.
Kudos for the right answer and explanation
Re: In a distribution of the values of the variable x, the 50th
[#permalink]
29 Nov 2019, 18:40
29 Nov 2019, 18:40
5
Numbers less than 50 percentile could be anything <48.5. There isnt much information to compare the 40th percentile with 40.5
One could fall into a trap, if you think about linearly distributing the values between and finding 40th percentile which would be less than 40.
One could fall into a trap, if you think about linearly distributing the values between and finding 40th percentile which would be less than 40.
General Discussion
Re: In a distribution of the values of the variable x, the 50th
[#permalink]
29 Nov 2019, 20:48
29 Nov 2019, 20:48
3
Here, the unknown information is the type of distribution of the information. Lets consider the Normal and Linear distributions.
In Linear, the percentile follows the number of students. So 60-50 percentile is 10 percentile corresponds to 56.5-48.5 = 10.
Now, 40 percentile is 50-10 percentile which gives 48.5-10 = 40.5, so option C
But, we exactly don't the distribution here, so we can't choose C.
As the information is missing, we can go with option D. (We can go with this option right in the beginning, but just ensuring we are not missing out anything.)
In Linear, the percentile follows the number of students. So 60-50 percentile is 10 percentile corresponds to 56.5-48.5 = 10.
Now, 40 percentile is 50-10 percentile which gives 48.5-10 = 40.5, so option C
But, we exactly don't the distribution here, so we can't choose C.
As the information is missing, we can go with option D. (We can go with this option right in the beginning, but just ensuring we are not missing out anything.)
