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.
Apr 2308:00 PM PDT
-09:00 PM PDT
Video explanations + diagnosis of 10 weakest areas + 150+ short videos + study plan!
Apr 2301:30 AM EDT
-02:30 AM EDT
Struggling with GMAT Verbal as a non-native speaker? Harsh improved his score from 595 to 695 in just 45 days—and scored a 99 %ile in Verbal (V88)! Learn how smart strategy, clarity, and guided prep helped him gain 100 points.
Apr 2512:30 AM EDT
-01:30 AM EDT
At one point, she believed GMAT wasn’t for her. After scoring 595, self-doubt crept in and she questioned her potential. But instead of quitting, she made the right strategic changes. The result? A remarkable comeback to 695. Check out how Saakshi did it.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 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
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
08 May 2019, 07:43
Kudos
Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
68% (01:48) correct
32%
(01:59)
wrong
based on 306
sessions
History
Date
Time
Result
Not Attempted Yet
If x > 1, is the average (arithmetic mean) of a set of x numbers equal to its median?
(1) The range of the x numbers is 3(x – 1).
(2) If the x numbers are written in decreasing order, the difference between each pair of numbers is 3.
(1) The range of the x numbers is 3(x – 1).
(2) If the x numbers are written in decreasing order, the difference between each pair of numbers is 3.
09 May 2019, 07:12
Kudos
Bookmarks
This is a fairly straightforward question on Statistics, based on the relationship between the mean and median of a given set of numbers.
If a set of numbers are equally spaced, mean = median. Note that the reverse is not always true i.e. if mean = median, the numbers may or may not be equally spaced.
For example, if we consider the set { 2, 5, 8, 11, 14 }, the mean and median will be 8. Whereas, if we consider the set {1,2,4,5}, although the mean and median are both 3, the numbers are not equally spaced.
Let’s focus on the question now.
From the question statement, we get to know that x = 2,3,4….. and so on. For example, if x = 2, we are trying to figure out if the mean of 2 numbers is equal to their median. Similarly for the other values of x as well. To do this, we will have to have information on the exact set of values or at least the relationship between the values in the set of numbers. The statement/s that provide either of the two will turn out to be sufficient.
Using Statement I alone, we can only make out that the difference between the maximum and the minimum values in the data set. This means, we are only able to know something about the extremities and nothing else.
For example, if x = 2, then we know that Maximum – Minimum = 3(2-1) = 3. IN this case, we will be able to say that the mean and the median are the same since there are only 2 values.
But if x = 3, then Maximum – Minimum = 3(3-1) = 6. Now, we cannot conclusively say if the mean will be equal to the median always. If the numbers are 1,4 and 7, mean = median = 4; but if the numbers are 2,4 and 8, then mean ≠ median.
Therefore, statement I is insufficient. So, the answer choices cannot be A or D.
Using statement II alone, we understand that any two consecutive numbers (each pair) will differ by 3. This means that the ‘x’ numbers are equally spaced with a spacing of 3 between the numbers.
Therefore, mean of these numbers will be equal to the median of these numbers.
Hence, statement II is sufficient. So, the correct answer option is B.
In such questions, it’s very important to understand the implied meaning of statements like statement II, so that you can figure out the concept that needs to be applied.
Hope this helped!
Arvind,
CrackVerbal Prep Team
If a set of numbers are equally spaced, mean = median. Note that the reverse is not always true i.e. if mean = median, the numbers may or may not be equally spaced.
For example, if we consider the set { 2, 5, 8, 11, 14 }, the mean and median will be 8. Whereas, if we consider the set {1,2,4,5}, although the mean and median are both 3, the numbers are not equally spaced.
Let’s focus on the question now.
From the question statement, we get to know that x = 2,3,4….. and so on. For example, if x = 2, we are trying to figure out if the mean of 2 numbers is equal to their median. Similarly for the other values of x as well. To do this, we will have to have information on the exact set of values or at least the relationship between the values in the set of numbers. The statement/s that provide either of the two will turn out to be sufficient.
Using Statement I alone, we can only make out that the difference between the maximum and the minimum values in the data set. This means, we are only able to know something about the extremities and nothing else.
For example, if x = 2, then we know that Maximum – Minimum = 3(2-1) = 3. IN this case, we will be able to say that the mean and the median are the same since there are only 2 values.
But if x = 3, then Maximum – Minimum = 3(3-1) = 6. Now, we cannot conclusively say if the mean will be equal to the median always. If the numbers are 1,4 and 7, mean = median = 4; but if the numbers are 2,4 and 8, then mean ≠ median.
Therefore, statement I is insufficient. So, the answer choices cannot be A or D.
Using statement II alone, we understand that any two consecutive numbers (each pair) will differ by 3. This means that the ‘x’ numbers are equally spaced with a spacing of 3 between the numbers.
Therefore, mean of these numbers will be equal to the median of these numbers.
Hence, statement II is sufficient. So, the correct answer option is B.
In such questions, it’s very important to understand the implied meaning of statements like statement II, so that you can figure out the concept that needs to be applied.
Hope this helped!
Arvind,
CrackVerbal Prep Team
07 Sep 2024, 02:46
Kudos
Bookmarks
I have a doubt in statement 2, if does not tell us whether the set has even or odd elements, does mean=median always apply irrespective of even/odd nature of the set?
