Last visit was: Tue Sep 15, 2026 6:17 am It is currently Tue Sep 15, 2026 6:17 am
Home
Messages
Tests
Schools
Events
Close
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

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
User avatar
georgecambridge
User avatar
Joined: 14 Jan 2023
Last visit: 01 Aug 2023
Posts: 14
Own Kudos:
5
Given Kudos: 4
Posts: 14
Kudos: 5
Question on Standard deviation Sat Apr 29, 2023 11:07 am
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hello there,
If I have three sets (A, B, C) with equal number of elements, can I make a conclusion that the set with the highest range has the highest standard deviation? If not, can you please provide examples?
Thanks a lot.

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
gmatophobia
User avatar
Quant Chat Moderator
Joined: 22 Dec 2016
Last visit: 09 Sep 2026
Posts: 3,174
Own Kudos:
12,377
Given Kudos: 1,860
Location: India
Concentration: Strategy, Leadership
Posts: 3,174
Kudos: 12,377
Question on Standard deviation Sat Apr 29, 2023 11:43 am
Kudos
Add Kudos
Bookmarks
Bookmark this Post
georgecambridge
Hello there,
If I have three sets (A, B, C) with equal number of elements, can I make a conclusion that the set with the highest range has the highest standard deviation? If not, can you please provide examples?
Thanks a lot.
Show more

No, we cannot make such an inference based on the range of two sets.

For example -

Case 1

A = {7,10,11,12,15,15,15}

  • SD = 2.84
  • Range= 8
  • Count of elements = 7

Case 2

A = {9,9,9,9,15,15,15}

  • SD = 2.96
  • Range= 6
  • Count of elements = 7
User avatar
georgecambridge
User avatar
Joined: 14 Jan 2023
Last visit: 01 Aug 2023
Posts: 14
Own Kudos:
5
Given Kudos: 4
Posts: 14
Kudos: 5
Question on Standard deviation Sat Apr 29, 2023 12:26 pm
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Hey, thanks for your answer. What is the best strategy to solve this question under 2 minutes?
Attachments

Screenshot 2023-04-29 at 10.25.32 PM.png
Screenshot 2023-04-29 at 10.25.32 PM.png [ 257.05 KiB | Viewed 877 times ]

User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 15 Sep 2026
Posts: 113,528
Own Kudos:
841,407
Given Kudos: 111,541
Products:
GMAT Club Tests
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 113,528
Kudos: 841,407
Question on Standard deviation Sat Apr 29, 2023 12:31 pm
Kudos
Add Kudos
Bookmarks
Bookmark this Post
georgecambridge
Hey, thanks for your answer. What is the best strategy to solve this question under 2 minutes?
Show more

That question is discussed here: which-of-the-following-distribution-of-numbers-has-the-greatest-standa-218777.html

Hope it helps.

P.S. Kindly follow our rules when posting a question: rules-for-posting-please-read-this-before-posting-133935.html Thank you for understanding!

Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!