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.
May 1408:30 AM PDT
-09:30 AM PDT
Most GMAT test-takers are intimidated by the hardest GMAT Verbal questions. In this session, Target Test Prep GMAT instructor Erika Tyler-John, a 100th percentile GMAT scorer, will show you how top scorers break down challenging Verbal questions..
May 1212:00 PM EDT
-11:59 PM EDT
Make the most of your break with the most realistic GMAT™ prep. Take up to $700 off select products.- May 13
08:30 AM PDT
-09:30 AM PDT
In Episode 4 of our GMAT Ninja CR series, we tackle the most intimidating CR question type: Boldface & "Legalese" questions. If you've ever stared at an answer choice that reads, "The first is a consideration introduced to counter a position that... - Jun 10
06:00 AM PDT
-06:15 PM PDT
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
31 Dec 2023, 01:53
Kudos
Bookmarks
\(A = \{9, 10, 11, 12, x\}\)
If the median and the average (arithmetic mean) of the data set A, shown above, are equal, what is the value of \(x\)?
(1) \(x\) is not an integer.
(2) \(x\) is not a prime number.
If the median and the average (arithmetic mean) of the data set A, shown above, are equal, what is the value of \(x\)?
(1) \(x\) is not an integer.
(2) \(x\) is not a prime number.
31 Dec 2023, 01:54
Kudos
Bookmarks
Official Solution:
\(A = \{9, 10, 11, 12, x\}\)
If the median and the average (arithmetic mean) of the data set A, shown above, are equal, what is the value of \(x\)?
Observe that the given set, A, can have only three possible medians:
• 10, when \(x \leq 10\)
• \(x\), when \(10 \leq x \leq 11\)
• 11, when \(11 \leq x\)
When the median is 10, equating the average and the median gives us \(\frac{9 + 10 + 11 + 12 + x}{5} = 10\), resulting in \(x = 8\);
When the median is \(x\), equating the average and the median gives \(\frac{9 + 10 + 11 + 12 + x}{5} = x\), resulting \(x = 10.5\);
When the median is 11, equating the average and the median gives \(\frac{9 + 10 + 11 + 12 + x}{5} = 11\), resulting \(x = 13\).
(1) \(x\) is not an integer.
The only non-integer value among the three possible values of \(x\) is 10.5. Sufficient.
(2) \(x\) is not a prime number.
This excludes 13 and leaves two possible values for \(x\): 8 and 10.5. Not sufficient.
Answer: A
\(A = \{9, 10, 11, 12, x\}\)
If the median and the average (arithmetic mean) of the data set A, shown above, are equal, what is the value of \(x\)?
Observe that the given set, A, can have only three possible medians:
• 10, when \(x \leq 10\)
• \(x\), when \(10 \leq x \leq 11\)
• 11, when \(11 \leq x\)
When the median is 10, equating the average and the median gives us \(\frac{9 + 10 + 11 + 12 + x}{5} = 10\), resulting in \(x = 8\);
When the median is \(x\), equating the average and the median gives \(\frac{9 + 10 + 11 + 12 + x}{5} = x\), resulting \(x = 10.5\);
When the median is 11, equating the average and the median gives \(\frac{9 + 10 + 11 + 12 + x}{5} = 11\), resulting \(x = 13\).
(1) \(x\) is not an integer.
The only non-integer value among the three possible values of \(x\) is 10.5. Sufficient.
(2) \(x\) is not a prime number.
This excludes 13 and leaves two possible values for \(x\): 8 and 10.5. Not sufficient.
Answer: A
