If each member of a 10 person class earned an integer score between 1 and 10, inclusive, on a recent quiz and the range

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Vincen: Legendary Member; Posts: 2898; Joined: Thu Sep 07, 2017 2:49 pm; Thanked: 6 times; Followed by:5 members

If each member of a 10 person class earned an integer score between 1 and 10, inclusive, on a recent quiz and the range

by Vincen » Tue Aug 18, 2020 8:06 am

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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

Answer: B

Source: Veritas Prep

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Source: Beat The GMAT — Problem Solving | Tue Aug 18, 2020 8:06 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

Re: If each member of a 10 person class earned an integer score between 1 and 10, inclusive, on a recent quiz and the ra

by Scott@TargetTestPrep » Sat Aug 22, 2020 8:53 am

Vincen wrote: ↑
Tue Aug 18, 2020 8:06 am
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

Answer: B

Solution:

The range of 8 results from either 9 - 1 or from 10 - 2. Because we are looking for the smallest average score for the class, we use 9 - 1, which indicates that the highest score was 9 and the lowest score was 1.

To determine the lowest possible average score for the class, we can assume 9 people received a score of 1 and 1 person received a score of 9. Therefore, the lowest possible average score is:

(9 x 1 + 9)/10 = 18/10 = 1.8

Answer: B

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