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STATISICS-In a class with 20 students

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STATISICS-In a class with 20 students [#permalink] New post 08 Sep 2014, 20:24
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Question Stats:

50% (00:54) correct 50% (01:22) wrong based on 4 sessions
PLEASE EXPLAIN
In a class with 20 students, a test was administered, scored only in whole numbers from 0 to 10. At least one
student got every possible score, and the average was 7.
23.

Quanti ty A

Quanti ty B
4 The lowest score that two students could have received

ANS-B
[Reveal] Spoiler: OA
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Re: STATISICS [#permalink] New post 09 Sep 2014, 14:28
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Expert's post
anik1989 wrote:
PLEASE EXPLAIN
In a class with 20 students, a test was administered, scored only in whole numbers from 0 to 10. At least one
student got every possible score, and the average was 7.
23.

Quanti ty A

Quanti ty B
4 The lowest score that two students could have received

ANS-B



We have here 20 students with average of 7.23. Hence total score of the class is 144.6 (7.23*20)
Now we know that at least 1 student got each score possible hence there is a guy with a 0 and another with a 1..............

So 11 guys score a total of 55 (0+1+2+3+...........10)
Now the other 9 guys must score (144.6 -55) to maintain the average. They must score 10 (rounding of 144.6 to 145) or one guy of the remaining 9 scores a 9 if we round 144.6 to 144.


Quantity A is 4

Quantity B is 9 or 10

Quantity B is greater.
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Re: STATISICS-In a class with 20 students [#permalink] New post 07 Mar 2018, 21:57
anik1989 wrote:
PLEASE EXPLAIN
In a class with 20 students, a test was administered, scored only in whole numbers from 0 to 10. At least one
student got every possible score, and the average was 7.
23.

Quanti ty A

Quanti ty B
4 The lowest score that two students could have received

ANS-B


I think the questiion would be more inaccurate. Let me put it this way.

In a class with 20 students, a test was administered, scored only in whole numbers from 0 to 10. At least one
student got every possible score, and the average was 7.

Quant A

4

Quant B

The lowest score that two students could have received.


Then, for this question, we are told that the score ranges from 0-10, and the average for the 20 students are 7.

Then we can deduce that the sum of scores from 20 students are 140.

Yet, we are told that At least one student got every possible score. That means that for every score, at least one studnet will have get the score.

Thus, we can know that there are 11 students getting scores from 0-10 individually. Then, the sum of the 11 students would be (0+10)11/2= 55

Now we deduct 55 from 140 with the remaining of 85. For 9 students with the totla of 85. We can think of one extreme scenario at which one student get 5 others geeting 10.

Then, we can know that The lowest score that two students could have received would be 15 (Quant B) which is > 4 (Quant A).
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Re: STATISICS-In a class with 20 students [#permalink] New post 08 Mar 2018, 07:39
I found it difficult to follow your question because of the structure.
Re: STATISICS-In a class with 20 students   [#permalink] 08 Mar 2018, 07:39
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STATISICS-In a class with 20 students

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