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.
16 Sep 2014, 00:21
Kudos
Bookmarks
Which of the following sets has a standard deviation greater than the standard deviation of set A = {10, 12, 14, 16, 18, 20, 22, 24, 26, 28}?
I. Set B, which consists of the first 10 positive integers
II. Set C, which consists of the first 10 positive odd numbers
III. Set D, which consists of the first 10 prime numbers
A. Set B only
B. Set C only
C. Set D only
D. Sets C and D only
E. Sets B, C and D
I. Set B, which consists of the first 10 positive integers
II. Set C, which consists of the first 10 positive odd numbers
III. Set D, which consists of the first 10 prime numbers
A. Set B only
B. Set C only
C. Set D only
D. Sets C and D only
E. Sets B, C and D
16 Sep 2014, 00:21
Kudos
Bookmarks
Official Solution:
Which of the following sets has a standard deviation greater than the standard deviation of set A = {10, 12, 14, 16, 18, 20, 22, 24, 26, 28}?
I. Set B, which consists of the first 10 positive integers
II. Set C, which consists of the first 10 positive odd numbers
III. Set D, which consists of the first 10 prime numbers
A. Set B only
B. Set C only
C. Set D only
D. Sets C and D only
E. Sets B, C and D
The standard deviation is a measure of the variation of the data points from the mean, a measure of how widespread a given set is. When the standard deviation is low, the data points tend to be close to the mean, while a high standard deviation implies that the data is spread out over a broader range of values.
Now, it's clear that set B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is less widespread than set A, so its standard deviation is less than the standard deviation of set A.
Set C = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} is as widespread as set A, so its standard deviation is equal to the standard deviation of set A. An important property to note is that if we add or subtract a constant to each term in a set, the standard deviation will not change. Since set A can be obtained by adding 9 to each term of set C, the standard deviations of those sets are equal.
Set D={2, 3, 5, 7, 11, 13, 17, 19, 23, 29} is more widespread than set A, so its standard deviation is greater than the standard deviation of set A.
Answer: C
Which of the following sets has a standard deviation greater than the standard deviation of set A = {10, 12, 14, 16, 18, 20, 22, 24, 26, 28}?
I. Set B, which consists of the first 10 positive integers
II. Set C, which consists of the first 10 positive odd numbers
III. Set D, which consists of the first 10 prime numbers
A. Set B only
B. Set C only
C. Set D only
D. Sets C and D only
E. Sets B, C and D
The standard deviation is a measure of the variation of the data points from the mean, a measure of how widespread a given set is. When the standard deviation is low, the data points tend to be close to the mean, while a high standard deviation implies that the data is spread out over a broader range of values.
Now, it's clear that set B = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} is less widespread than set A, so its standard deviation is less than the standard deviation of set A.
Set C = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19} is as widespread as set A, so its standard deviation is equal to the standard deviation of set A. An important property to note is that if we add or subtract a constant to each term in a set, the standard deviation will not change. Since set A can be obtained by adding 9 to each term of set C, the standard deviations of those sets are equal.
Set D={2, 3, 5, 7, 11, 13, 17, 19, 23, 29} is more widespread than set A, so its standard deviation is greater than the standard deviation of set A.
Answer: C
General Discussion
