|
|
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.
17 Jun 2020, 01:45
Kudos
Bookmarks
E
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:
60% (01:03) correct
40%
(01:01)
wrong
based on 338
sessions
History
Date
Time
Result
Not Attempted Yet
Is the standard deviation of set S greater than the standard deviation of set T ?
(1) The range of set S is greater than the range of set T
(2) The mean of set S is greater than the mean of set T
17 Jun 2020, 03:13
Kudos
Bookmarks
Case 1-
S = {1,11} and T={1,10}
SD of S > SD of T
Case 2-
S = {1,6,11} and T={1,10}
SD of S < SD of T
Both cases satisfy both statements and give different answer.
Insufficient
E
S = {1,11} and T={1,10}
SD of S > SD of T
Case 2-
S = {1,6,11} and T={1,10}
SD of S < SD of T
Both cases satisfy both statements and give different answer.
Insufficient
E
yashikaaggarwal
Senior Moderator - Masters Forum
Joined: 19 Jan 2020
Last visit: 29 Mar 2026
Posts: 3,088
Own Kudos:
Given Kudos: 1,510
Location: India
Schools: Cranfield (A) Warwick MiM "23 (M)
GPA: 4
WE:Analyst (Internet and New Media)
17 Jun 2020, 03:25
Kudos
Bookmarks
IMO A,
Statement 1: The range of set S is greater than the range of set T:
The range rule tells us that the standard deviation of a sample is approximately equal to one-fourth of the range of the data. In other words s = (Maximum – Minimum)/4.
Therefore if the range of Set S is 10 and Range if set T is 5
The approximate Standard deviation of set S = 10/4 = 2.5
Whereas standard deviation of set T = 5/4 = 1.25
Therefore,
Set S Standard Deviation > Set T Standard Deviation
(Sufficient)
Statement 2: The mean of set S is greater than the mean of set T
Case 1: Let say mean of set S is 8 where Set S is (6,7,8,9,10)
And Set T mean is 6 where set T is (2,4,6,8,10)
Using the range method.
Set T range is higher than Set S making standard deviation of set T is higher than Set S.
Set T SD > Set S SD
Case 2: Let say mean of set S is 8 where Set S is (4,6,8,10,12)
And Set T mean is 6 where set T is (4,5,6,7,8)
Using the range method.
Set T range is lower than Set S making standard deviation of set T is lower than Set S.
Set T SD < Set S SD
(Insufficient)
Posted from my mobile device
Statement 1: The range of set S is greater than the range of set T:
The range rule tells us that the standard deviation of a sample is approximately equal to one-fourth of the range of the data. In other words s = (Maximum – Minimum)/4.
Therefore if the range of Set S is 10 and Range if set T is 5
The approximate Standard deviation of set S = 10/4 = 2.5
Whereas standard deviation of set T = 5/4 = 1.25
Therefore,
Set S Standard Deviation > Set T Standard Deviation
(Sufficient)
Statement 2: The mean of set S is greater than the mean of set T
Case 1: Let say mean of set S is 8 where Set S is (6,7,8,9,10)
And Set T mean is 6 where set T is (2,4,6,8,10)
Using the range method.
Set T range is higher than Set S making standard deviation of set T is higher than Set S.
Set T SD > Set S SD
Case 2: Let say mean of set S is 8 where Set S is (4,6,8,10,12)
And Set T mean is 6 where set T is (4,5,6,7,8)
Using the range method.
Set T range is lower than Set S making standard deviation of set T is lower than Set S.
Set T SD < Set S SD
(Insufficient)
Posted from my mobile device
