Events & Promotions
|
|
GMAT 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.
Jul 1011:00 AM PDT
-11:00 AM PDT
In our conversation, Kishore talks about how strategically he used data analytics to identify high impact areas to focus on as well as his early morning study routine (3 AM prep!) that optimized his GMAT preparation.- Jun 30
08:00 AM PDT
-11:59 PM PDT
Join us June 30th for 2 weeks of GMAT questions (just 8 per day) to help with your prep and to compete with your fellow GMAT Clubbers for a chance to win a prize fund of $30,000 for you and your team-mates! - Jul 09
11:00 AM PDT
-12:30 PM PDT
Welcome to the M7 MBA Spotlight Series, featuring MIT Sloan School of Management! This video is part of GMAT Club’s exclusive MBA Spotlight event, where top business schools meet prospective applicants like you. 
Jul 0901:00 PM EDT
-02:00 PM EDT
More Target Test Prep students are earning 100th percentile GMAT scores. Don’t settle for less when the Target Test Prep course gives you everything you need to score high on the GMAT. Start your 5-day free trial today.
Jul 1206:30 AM PDT
-08:30 AM PDT
Join our webinar to master GMAT RC Main Point Questions! Learn effective strategies to decipher passage themes and purposes. Senior Verbal Expert- Sunita Singhvi will equip you with tools to navigate complexities and avoid common traps set by the GMAT.
Jul 1211:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.
Jul 1311:00 AM EDT
-12:30 PM EDT
Looking for your GMAT motivation to break through the score plateau? Pragati improved her score by massive 160 points with strategic guidance and hard-work! Find out how personalized mentorship and a strong mindset can turn GMAT struggles into success.
Jul 1508:00 PM PDT
-09:00 PM PDT
Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
Jul 1611:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors.
16 Sep 2014, 00:46
Kudos
Bookmarks
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
39% (01:34) correct
61%
(01:31)
wrong
based on 129
sessions
History
Date
Time
Result
Not Attempted Yet
If the average (arithmetic mean) of list \(S\) is 20, what is the median of list \(S\)?
(1) In list \(S\), there are as many numbers larger than 20 as there are numbers smaller than 20.
(2) All numbers in list \(S\) are even integers.
(1) In list \(S\), there are as many numbers larger than 20 as there are numbers smaller than 20.
(2) All numbers in list \(S\) are even integers.
16 Sep 2014, 00:46
Kudos
Bookmarks
Official Solution:
If the average (arithmetic mean) of list \(S\) is 20, what is the median of list \(S\)?
(1) In list \(S\), there are as many numbers larger than 20 as there are numbers smaller than 20.
Let's construct different lists with the goal of getting different answers: If \(S = \{19, 20, 21\}\), the median is 20.
Let's try a four-element list, keeping in mind that the sum must be 4*20 = 80. If \(S = \{0, 0, 30, 50\}\), the median is 15.
Not sufficient.
(2) All numbers in list \(S\) are even integers.
This statement is clearly insufficient to determine the median of the list S. Numerous lists of even integers can be constructed with the mean of 20 and different medians.
(1)+(2) The example from (1), \(\{0, 0, 30, 50\}\), remains valid. We can easily modify the first example from (1), \(\{19, 20, 21\}\), to contain only even integers and still have a median of 20, such as \(\{18, 20, 22\}\). Thus, even when combined, the statements are not sufficient to determine the median of the list \(S\).
Answer: E
If the average (arithmetic mean) of list \(S\) is 20, what is the median of list \(S\)?
(1) In list \(S\), there are as many numbers larger than 20 as there are numbers smaller than 20.
Let's construct different lists with the goal of getting different answers: If \(S = \{19, 20, 21\}\), the median is 20.
Let's try a four-element list, keeping in mind that the sum must be 4*20 = 80. If \(S = \{0, 0, 30, 50\}\), the median is 15.
Not sufficient.
(2) All numbers in list \(S\) are even integers.
This statement is clearly insufficient to determine the median of the list S. Numerous lists of even integers can be constructed with the mean of 20 and different medians.
(1)+(2) The example from (1), \(\{0, 0, 30, 50\}\), remains valid. We can easily modify the first example from (1), \(\{19, 20, 21\}\), to contain only even integers and still have a median of 20, such as \(\{18, 20, 22\}\). Thus, even when combined, the statements are not sufficient to determine the median of the list \(S\).
Answer: E
16 Mar 2015, 18:31
Kudos
Bookmarks
hello Bunuel,
This explanation seems a bit confusing to me .
The question says that the mean is "20".
Then it should include "20" in set S,
But the examples you took do not include 20.
can you please explain each statement more clearly?
This explanation seems a bit confusing to me .
The question says that the mean is "20".
Then it should include "20" in set S,
But the examples you took do not include 20.
can you please explain each statement more clearly?
