Last visit was: 25 Apr 2026, 00:40 It is currently 25 Apr 2026, 00:40
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
Back to Forum
Create Topic
avatar
kingjoffrey69
avatar
Joined: 29 Dec 2017
Last visit: 26 Mar 2019
Posts: 2
Given Kudos: 2
Posts: 2
Kudos: 0
What is the arithmetic mean of a data set with twenty data values, eac 30 Jan 2019, 08:47
Kudos
Add Kudos
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

25% (medium)

Question Stats:

66% (00:48) correct 34% (01:01) wrong based on 74 sessions

History

Date
Time
Result
Not Attempted Yet
What is the arithmetic mean of a data set with twenty data values, each of which is a positive integer.


(1) The sum of the odd values is 1144 and the even values is 856

(2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.
ShowHide Answer
Official Answer
D
User avatar
chetan2u
User avatar
GMAT Expert
Joined: 02 Aug 2009
Last visit: 24 Apr 2026
Posts: 11,229
Own Kudos:
45,013
Given Kudos: 335
Status:Math and DI Expert
Location: India
Concentration: Human Resources, General Management
GMAT Focus 1: 735 Q90 V89 DI81
Products:
My Reviews
Expert
Expert reply
GMAT Focus 1: 735 Q90 V89 DI81
Posts: 11,229
Kudos: 45,013
What is the arithmetic mean of a data set with twenty data values, eac 30 Jan 2019, 09:16
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kingjoffrey69
What is the arithmetic mean of a data set with twenty data values, each of which is a positive integer.


(1) The sum of the odd values is 1144 and the even values is 856

(2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.
Show more


Arithmetic mean = sum/20..

Statement I The sum of the odd values is 1144 and the even values is 856 .
There can be only two types of integers - odd or even, so the total sum will be 1144+856=2000..
Mean =2000/20=100
Sufficient

Statement II. The sum of the lowest ten values is 400 and the greatest ten values is 1600.[/quote]
Again total 20 will consist of lowest 10 and highest 10, so total will be 1600+400=2000
Sufficient as mean is 10 .

D
User avatar
MahmoudFawzy
User avatar
Joined: 27 Oct 2018
Last visit: 20 Feb 2021
Posts: 660
Own Kudos:
2,174
Given Kudos: 200
Status:Manager
Location: Egypt
Concentration: Strategy, International Business
Schools: NTU '20 HKUST '21 Japan MBA
GPA: 3.67
WE:Pharmaceuticals (Healthcare/Pharmaceuticals)
Schools: NTU '20 HKUST '21 Japan MBA
Posts: 660
Kudos: 2,174
What is the arithmetic mean of a data set with twenty data values, eac 30 Jan 2019, 12:27
Kudos
Add Kudos
Bookmarks
Bookmark this Post
kingjoffrey69
What is the arithmetic mean of a data set with twenty data values, each of which is a positive integer.


(1) The sum of the odd values is 1144 and the even values is 856

(2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.
Show more

the sum in each of the statements = 2000,
so the average is 2000/20 = 100

D
User avatar
Chethan92
User avatar
Joined: 18 Jul 2018
Last visit: 21 Apr 2022
Posts: 901
Own Kudos:
1,509
Given Kudos: 95
Location: India
Concentration: Operations, General Management
Schools: IIMB EPGP'22 (M)
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy)
Products:
My Reviews
Schools: IIMB EPGP'22 (M)
GMAT 2: 690 Q49 V34
Posts: 901
Kudos: 1,509
What is the arithmetic mean of a data set with twenty data values, eac 31 Jan 2019, 01:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
From statement 1:

Sum of odd and even is given, but The number of integers, which are odd or even is not given. Hence Insufficient.

From statement 2:

The sum of the lowest 10 = 400.
The sum of the highest 10 = 1600.
Average = 2000/20 = 100

B is the answer.
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 24 Apr 2026
Posts: 8,629
Own Kudos:
5,190
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Club Tests Forum Quiz
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,629
Kudos: 5,190
What is the arithmetic mean of a data set with twenty data values, eac Updated on: 01 Feb 2019, 09:22
Originally posted by Archit3110 on 31 Jan 2019, 03:48.
Last edited by Archit3110 on 01 Feb 2019, 09:22, edited 1 time in total.
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
What is the arithmetic mean of a data set with twenty data values, each of which is a positive integer?


(1) The sum of the odd values is 1,144 and the sum of the even values is 856.

(2) The sum of the lowest ten values is 400 and the sum of the greatest ten values is 1,600.
Show more

#1
sufficient
as not given whether the 20 data values are consecutive values or not
#2
400 + 1600/20 = 100
IMO D
avatar
Veljkoc94
avatar
Joined: 06 Jan 2019
Last visit: 22 Mar 2019
Posts: 8
Own Kudos:
4
 [1]
Given Kudos: 16
Posts: 8
Kudos: 4
 [1]
What is the arithmetic mean of a data set with twenty data values, eac 31 Jan 2019, 06:54
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is really 1 insufficient?
Because if I have sum of odd values and sum of even values I can calculate the sum of all values and divide by 20 to get the mean. This statement alone is sufficient as well.
User avatar
Princ
User avatar
Joined: 22 Feb 2018
Last visit: 04 May 2025
Posts: 351
Own Kudos:
924
Given Kudos: 34
Posts: 351
Kudos: 924
What is the arithmetic mean of a data set with twenty data values, eac 01 Feb 2019, 06:42
Kudos
Add Kudos
Bookmarks
Bookmark this Post
OA:D

1) The sum of the odd values is 1144 and the even values is 856

Total Sum = Sum of odd values + Sum of even values \(= 1144+856 =2000\)
Total number of term \(= 20\)

Average\(= \frac{2000}{20} =100\)

Statement 1 is sufficient to find out the value of average.

2) The sum of the lowest ten values is 400 and the greatest ten values is 1600.

Total Sum = Sum of lowest ten values + Sum of greatest ten values \(= 400+1600 =2000\)
Total number of term \(= 20\)

Average\(= \frac{2000}{20} =100\)

Statement 2 is sufficient to find out the value of average.
Moderators:
Bunuel
Math Expert
109821 posts
kingbucky
498 posts
Gmat860sanskar
212 posts