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# When 9 students took a zoology quiz with a possible score of 0 to 10,

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Math Expert
Joined: 02 Sep 2009
Posts: 50627
When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

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15 Jul 2018, 07:37
00:00

Difficulty:

5% (low)

Question Stats:

88% (00:56) correct 12% (00:49) wrong based on 34 sessions

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When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5

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Posts: 621
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Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

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15 Jul 2018, 09:27
+1 for B.

Avg of score of 9 students = 7.5
Sum of scores of 9 students = 7.5 * 9 = 67.5

To minimize the avg score of 10 students, 10th student should score the least i.e, 0

Therefore,
Sum of scores of 10 students 67.5 + 0 = 67.5
Average score of 10 students = Sum of scores of 10 students / 10
= 67.5/10
= 6.75

Hence, B.
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Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

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15 Jul 2018, 09:33
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5

Total score of 9 students = 7.5 *9 = 67.5.

We are asked to find out the least average score of 10 students.

Assume no. 10 students score 0.

Total of 10 students score = 67.5 + 0 =67.5

Average score of 10 students = 67.5 /10
= 6.75

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Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

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16 Jul 2018, 08:16
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5

$$= \frac{7.50*9 + 0}{10}$$

$$= 6.75$$, Answer must be (B)
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Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

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16 Jul 2018, 09:43
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5

Sum of scores of 9 students = 7.5 * 9 = 67.5

For the average to be least the 10th students has to contribute the least to the average.

Least score possible for 10th student is 0.

Hence Sum of score of 9 students + score of 10th Student = 67.5 + 0 = 67.5

Therefore least possible average score of the 10 students = 67.5/10 = 6.75

Thanks,
GyM
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Re: When 9 students took a zoology quiz with a possible score of 0 to 10,  [#permalink]

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19 Jul 2018, 11:35
Bunuel wrote:
When 9 students took a zoology quiz with a possible score of 0 to 10, inclusive, there average (arithmetic mean) score was 7.5. If a tenth student takes the same quiz, what will be the least possible average score on the quiz for all 10 students?

A. 6.5
B. 6.75
C. 7.0
D. 7.25
E. 7.5

The sum for the 9 students is 9 x 7.5 = 67.5.

If the last students received a 0, the lowest possible average would be 67.5/10 = 6.75

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Re: When 9 students took a zoology quiz with a possible score of 0 to 10, &nbs [#permalink] 19 Jul 2018, 11:35
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