Forum Home > GMAT > Quantitative > Problem Solving (PS)
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.
Dec 1310:00 AM EST
-12:00 PM EST
Have you ever wondered how to score a PERFECT 805 on the GMAT? Meet Julia, a banking professional who used the Target Test Prep course to achieve this incredible feat. Julia's story is nothing short of an inspiration.
Dec 1410:00 AM EST
-12:00 PM EST
Think a 100% GMAT Verbal score is out of your reach? Target Test Prep will make you think again! Our course uses techniques such as topical study and spaced repetition to maximize knowledge retention and make studying simple and fun.
Dec 1411:00 AM IST
-01:00 PM IST
Attend this session to learn how to Deconstruct arguments, Pre-Think Author’s Assumptions, and apply Negation Test.- Dec 15
11:00 AM IST
-01:00 PM IST
Attend this free GMAT Algebra Webinar and learn how to master the most challenging Inequalities and Absolute Value problems with ease. 
Dec 1608:00 AM PST
-11:59 PM PST
GMAT Club 12 Days of Christmas is a 4th Annual GMAT Club Winter Competition based on solving questions. This is the Winter GMAT competition on GMAT Club with an amazing opportunity to win over $40,000 worth of prizes!
28 Feb 2022, 02:30
Kudos
Bookmarks
A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (00:58) correct
6%
(00:39)
wrong
based on 54
sessions
History
Date
Time
Result
Not Attempted Yet
Data set S contains the elements {−5, x, 2, 0, −1, 1, 9}. What is the value of x?
(1) The average (arithmetic mean) of data set S is 2.
(2) The median of data set S is 1.
(1) The average (arithmetic mean) of data set S is 2.
(2) The median of data set S is 1.
28 Feb 2022, 07:15
Kudos
Bookmarks
Bunuel
Data set S contains the elements {−5, x, 2, 0, −1, 1, 9}. What is the value of x?
(1) The average (arithmetic mean) of data set S is 2.
(2) The median of data set S is 1.
Given: Data set S contains the elements {−5, x, 2, 0, −1, 1, 9} (1) The average (arithmetic mean) of data set S is 2.
(2) The median of data set S is 1.
Target question: What is the value of x?
Statement 1: The average (arithmetic mean) of data set S is 2.
So we get: \(\frac{(−5)+x+2+0+(−1)+1+9}{7} = 2\)
Since we COULD solve this equation for x, statement 1 is sufficient.
Statement 2: The median of data set S is 1.
Arrange the 6 known values in ascending order to get: {−5, −1, 0, 1, 2, 9}
There are several values of x that satisfy statement 2. Here are two:
Case a: x could equal 1 in which case the set becomes {−5, −1, 0, 1, 1, 2, 9}, which has a median of 1. In this case, the answer to the target question is x = 1
Case b: x could equal 2 in which case the set becomes {−5, −1, 0, 1, 2, 2, 9}, which has a median of 1. In this case, the answer to the target question is x = 2
Since we can’t answer the target question with certainty, statement 2 is NOT SUFFICIENT
Answer: A
Cheers,
Brent
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
Posts: 583
Given Kudos: 725
Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38
GPA: 4
Products:
28 Feb 2022, 13:05
Kudos
Bookmarks
(A) Mean of the given numbers = 2 = Sum of the numbers ÷ 7 = (6+x)÷7
Therefore, 2*7=6+x or x=8. Sufficient.
(B) Median of the given numbers = 1
Since there are a total of 7 elements, 1 would be the 4th element. Which means there will be three elements to the left to 1 which are -5, -1, and 0. And it also means that there will be three elements to the right of 1 of which two are 2 and 9. The third element would be x and x can take literally any value from 1 to infinity. Hence, a unique value of x cannot be determined. Insufficient.
Hence, A.
Posted from my mobile device
Therefore, 2*7=6+x or x=8. Sufficient.
(B) Median of the given numbers = 1
Since there are a total of 7 elements, 1 would be the 4th element. Which means there will be three elements to the left to 1 which are -5, -1, and 0. And it also means that there will be three elements to the right of 1 of which two are 2 and 9. The third element would be x and x can take literally any value from 1 to infinity. Hence, a unique value of x cannot be determined. Insufficient.
Hence, A.
Posted from my mobile device
