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.
The heights of the presidents of the US, in whole centimeter
[#permalink]
22 Jan 2020, 08:11
22 Jan 2020, 08:11
2
Bookmarks
00:00
Question Stats:
80% (01:12) correct
20% (01:39) wrong based on 30 sessions
Hide Show timer Statistics
Attachment:
Screenshot from 2020-01-22 22-10-17.png [ 21.2 KiB | Viewed 2786 times ]
(Data attribution: https://en.wikipedia.org/wiki/Heights_o ... ted_States)
The heights of the presidents of the US, in whole centimeters, are grouped into intervals as shown in the table above. Based only on the data in the table, which of the following could be the median height of the US presidents?
Select all that apply:
[A] 191
[B] 186
[C] 182
[D] 179
[E] 175
[F] 169
GRE Instructor
Joined: 19 Jan 2020
Status:Entrepreneur | GMAT, GRE, CAT, SAT, ACT coach & mentor | Founder @CUBIX | Edu-consulting | Content creator
Posts: 117
Given Kudos: 0
GPA: 3.72
Re: The heights of the presidents of the US, in whole centimeter
[#permalink]
23 Jan 2020, 01:11
23 Jan 2020, 01:11
1
Solution:
Total number of presidents = 1 + 9 + 11 + 14 + 9 = 44
Thus, the median value will be = average of the 44/2 = 22nd president and the 23rd president
Performing the cumulative frequency table (shown in the image attached):
Note: Ideally we should have made a continuous table for the heights by changing the intervals to:
159.5 to 166.5
166.5 to 173.5
173.5 to 180.5
180.5 to 187.5
187.5 to 193.5
However, there is no issue even if we keep the table as given.
We have:
Median value = average of heights between 181 and 187
Thus, the median value must lie between 181 and 187, i.e. only Options B and C are possible
Answer B, C
Total number of presidents = 1 + 9 + 11 + 14 + 9 = 44
Thus, the median value will be = average of the 44/2 = 22nd president and the 23rd president
Performing the cumulative frequency table (shown in the image attached):
Note: Ideally we should have made a continuous table for the heights by changing the intervals to:
159.5 to 166.5
166.5 to 173.5
173.5 to 180.5
180.5 to 187.5
187.5 to 193.5
However, there is no issue even if we keep the table as given.
We have:
Median value = average of heights between 181 and 187
Thus, the median value must lie between 181 and 187, i.e. only Options B and C are possible
Answer B, C
Attachments
File comment: The cumulative frequency table is shown:
11.JPG [ 21.62 KiB | Viewed 2707 times ]
Re: The heights of the presidents of the US, in whole centimeter
[#permalink]
25 Mar 2023, 09:36
25 Mar 2023, 09:36
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.
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.
