Last visit was: 29 Apr 2026, 12:21 It is currently 29 Apr 2026, 12:21
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
Vijay1998
User avatar
Joined: 18 Jun 2020
Last visit: 25 Jan 2022
Posts: 3
Given Kudos: 3
Posts: 3
Kudos: 0
Mean, Median and Arithmetic Progression (AP) 16 Jul 2021, 23:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
We all know that if a sequence is in AP then Mean = Median.
My doubt is its opposite is also true?
That is, if in a pattern/sequence Mean = Median then that pattern/sequence is in AP?

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
bansalgaurav
User avatar
Joined: 26 Mar 2021
Last visit: 20 Nov 2021
Posts: 112
Own Kudos:
32
 [1]
Given Kudos: 36
Location: India
Concentration: General Management, Strategy
Schools: IIMB EPGP'23
GMAT 1: 640 Q50 V25
Schools: IIMB EPGP'23
GMAT 1: 640 Q50 V25
Posts: 112
Kudos: 32
 [1]
Mean, Median and Arithmetic Progression (AP) 16 Jul 2021, 23:21
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Vijay1998
We all know that if a sequence is in AP then Mean = Median.
My doubt is its opposite is also true?
That is, if in a pattern/sequence Mean = Median then that pattern/sequence is in AP?
Show more

No the opposite is not true. check the case::
S = {5 , 15,15, 25}. Mean = Median =15.
The data points in this set are not in AP as the difference between 2nd and 3rd data points is not equal to the difference between the other two consecutive numbers.
User avatar
ramlala
User avatar
Joined: 22 Aug 2020
Last visit: 13 Dec 2022
Posts: 467
Own Kudos:
384
 [1]
Given Kudos: 30
Location: India
Concentration: International Business, Finance
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
GPA: 4
WE:Project Management (Energy)
Schools: IIMA PGPX'23 INSEAD Jan'23 intake Sloan (MIT) ISB HEC Said
Posts: 467
Kudos: 384
 [1]
Mean, Median and Arithmetic Progression (AP) 17 Jul 2021, 19:41
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Vijay1998
We all know that if a sequence is in AP then Mean = Median.
My doubt is its opposite is also true?
That is, if in a pattern/sequence Mean = Median then that pattern/sequence is in AP?
Show more

Hi Vijay1998

We can not say that if in a pattern/sequence Mean = Median than that pattern/sequence is in AP
bansalgaurav has explained directly with example
User avatar
Vijay1998
User avatar
Joined: 18 Jun 2020
Last visit: 25 Jan 2022
Posts: 3
Given Kudos: 3
Posts: 3
Kudos: 0
Mean, Median and Arithmetic Progression (AP) 17 Jul 2021, 22:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
bansalgaurav
Vijay1998
We all know that if a sequence is in AP then Mean = Median.
My doubt is its opposite is also true?
That is, if in a pattern/sequence Mean = Median then that pattern/sequence is in AP?

No the opposite is not true. check the case::
S = {5 , 15,15, 25}. Mean = Median =15.
The data points in this set are not in AP as the difference between 2nd and 3rd data points is not equal to the difference between the other two consecutive numbers.
Show more

Thanks for the explanation Gaurav Bansal. Really appreciate it.
User avatar
bansalgaurav
User avatar
Joined: 26 Mar 2021
Last visit: 20 Nov 2021
Posts: 112
Own Kudos:
32
Given Kudos: 36
Location: India
Concentration: General Management, Strategy
Schools: IIMB EPGP'23
GMAT 1: 640 Q50 V25
Schools: IIMB EPGP'23
GMAT 1: 640 Q50 V25
Posts: 112
Kudos: 32
Mean, Median and Arithmetic Progression (AP) 18 Jul 2021, 02:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Vijay1998


Thanks for the explanation Gaurav Bansal. Really appreciate it.
Show more

You're welcome mate ... keep sharing more questions :thumbsup: :thumbsup: !!!

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!