Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 15:46

### 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

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

# If each member of a 10 person class earned an integer score between 1

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56304
If each member of a 10 person class earned an integer score between 1  [#permalink]

### Show Tags

19 Jun 2018, 23:52
00:00

Difficulty:

15% (low)

Question Stats:

74% (01:27) correct 26% (01:39) wrong based on 113 sessions

### HideShow timer Statistics

If each member of a 10 person class earned an integer score between 1 and 10, inclusive, on a recent quiz and the range between the highest and lowest scores was 8, what is the lowest average score possible for the class?

A. 1.2
B. 1.8
C. 2
D. 2.6
E. 4.5

_________________
examPAL Representative
Joined: 07 Dec 2017
Posts: 1073
Re: If each member of a 10 person class earned an integer score between 1  [#permalink]

### Show Tags

20 Jun 2018, 00:01
Bunuel wrote:
If each member of a 10 person class earned an integer score between 1 and 10, inclusive, on a recent quiz and the range between the highest and lowest scores was 8, what is the lowest average score possible for the class?

A. 1.2
B. 1.8
C. 2
D. 2.6
E. 4.5

As we're asked about 'the lowest possible value' we'll look at the extremes.

We're looking for the lowest possible average so we want as many students as possible to have the minimum value - 1.
Since 1 studnet must have a score of 1 + 8 = 9, this means that we can give 9 students a score of 1 and 1 a score of 9.
This sums to 1*9 +9*1 = 18.
Dividing by the number of students gives the average: 18/10 = 1.8

_________________
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2943
If each member of a 10 person class earned an integer score between 1  [#permalink]

### Show Tags

20 Jun 2018, 02:59

Solution

Given:
$$• There are 10 persons in a class. • The score of each person of the class is between 1 and 10, inclusive. • The range of the score earned by the all the 10 persons is 8. To find: • We need to find the the lowest averagSe score possible for the class.$$

Approach and Working:

We will get the lowest average of the class if all the persons score the lowest possible score.
Between 1 to 10, the lowest score is 1."]"

Hence, nine students of the class scores 1 and one student scores 9 as range must be 9.
• Thus, average= 9*1+1*9/10= 18/10= 1.8
Hence, option B is the correct answer."
_________________
Manager
Joined: 18 Apr 2018
Posts: 93
If each member of a 10 person class earned an integer score between 1  [#permalink]

### Show Tags

21 Jul 2018, 09:30
EgmatQuantExpert wrote:

Solution

Given:
$$• There are 10 persons in a class. • The score of each person of the class is between 1 and 10, inclusive. • The range of the score earned by the all the 10 persons is 8. To find: • We need to find the the lowest averagSe score possible for the class.$$

Approach and Working:

We will get the lowest average of the class if all the persons score the lowest possible score.
Between 1 to 10, the lowest score is 1."]"

Hence, nine students of the class scores 1 and one student scores 9 as range must be 9.
• Thus, average= 9*1+1*9/10= 18/10= 1.8
Hence, option B is the correct answer."

Thanks for the explanation but the question says that each student in the class earned an INTEGER score... From this line I expected that even the extremes of the scores should be integers. Or am I wrong?
Posted from my mobile device
Senior Manager
Joined: 29 Dec 2017
Posts: 383
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
If each member of a 10 person class earned an integer score between 1  [#permalink]

### Show Tags

21 Jul 2018, 10:13
1
Kem12 wrote:

Thanks for the explanation but the question says that each student in the class earned an INTEGER score... From this line I expected that even the extremes of the scores should be integers. Or am I wrong?
Posted from my mobile device

Hi Kem12,

I think that you are confused by this: average= 9*1+1*9/10= 18/10= 1.8. Indeed it should be average= (9*1+1*9)/10= 18/10= 1.8. The second extreme is not a fraction.
Manager
Joined: 18 Apr 2018
Posts: 93
Re: If each member of a 10 person class earned an integer score between 1  [#permalink]

### Show Tags

22 Jul 2018, 00:56
Hero8888 wrote:
Kem12 wrote:

Thanks for the explanation but the question says that each student in the class earned an INTEGER score... From this line I expected that even the extremes of the scores should be integers. Or am I wrong?
Posted from my mobile device

Hi Kem12,

I think that you are confused by this: average= 9*1+1*9/10= 18/10= 1.8. Indeed it should be average= (9*1+1*9)/10= 18/10= 1.8. The second extreme is not a fraction.

Thanks. I now understand.
Re: If each member of a 10 person class earned an integer score between 1   [#permalink] 22 Jul 2018, 00:56
Display posts from previous: Sort by