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Manager  Joined: 16 Apr 2010
Posts: 197
Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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Difficulty:   5% (low)

Question Stats: 77% (01:01) correct 23% (01:34) wrong based on 196 sessions

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Professor Vasquez gave a quiz to two classes. Was the range of scores fro the first class equal to the range of scores for the second class?

(1) In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70.
(2) In each class, the average (arithmetic mean) score on the quiz was 85
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Math Expert V
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Posts: 55271
Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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jakolik wrote:
Professor Vasquez gave a quiz to two classes. Was the range of scores fro the first
class equal to the range of scores for the second class?

(1) In each class, the number of students taking the quiz was 26, and the lowest score
in each class was 70.
(2) IN each class, the average (arithmetic mean) score on the quiz was 85

It's clear E.

Range=Highest term - Lowest term

For (1)+(2): $$\frac{70+a_2+a_3+...+a_{26}}{26}=85$$ --> $$70+a_2+a_3+...+a_{26}=26*85$$ --> as there are numerous combinations for 26 numbers to total 26*86 (even when the lower limit of these numbers is fixed), then there are numerous values for $$range=a_{26}-70$$. So the ranges may or may not be equal.
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Manager  Joined: 07 Oct 2006
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Location: India
Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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1
IMO E.
As per statement 1, we cannot confirm the range to be same for both.
As per statement 2 as well we cannot confirm the range to be same for both.
Combining both also, we cannot infer that range to be same.
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Manager  Joined: 18 Oct 2008
Posts: 127
Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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I believe its E .

A - no info about the highest value.
B - mean cant help much

A+B -> we have smallest value 70, mean 85..but we cant predict if their ranges are equal.

correct me if i have missed something
Senior Manager  Joined: 18 Sep 2009
Posts: 258
Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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The answer is E

1) from this,we just know lower score and no. of students only. but we need highest score
2) From this , we just know the average which is no useful

A+B still we cant find highest score inorder to find range value.
Manager  Joined: 08 Oct 2013
Posts: 50
Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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Range = Max - Min so we need to know the Max & Min score in each class...

State 1 Gives No. of students and Min scores in both classes. Clearly not sufficient

State 2: From this we can conclude that the sum of the scores in both classes are same. Can't deduce anything further from this as well. So not Sufficient

So Answer is E

BUT I have a question > if it was given that the standard deviation of the scores in both classes are same, then the answer would be C right?

Please confirm. Thanks Manager  S
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Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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AjChakravarthy wrote:
Range = Max - Min so we need to know the Max & Min score in each class...

State 1 Gives No. of students and Min scores in both classes. Clearly not sufficient

State 2: From this we can conclude that the sum of the scores in both classes are same. Can't deduce anything further from this as well. So not Sufficient

So Answer is E

BUT I have a question > if it was given that the standard deviation of the scores in both classes are same, then the answer would be C right?

Please confirm. Thanks Not necessarily. Consider the following cases:
[2, 2, 3, 4, 4] and [2, 2, 3, 3, 5].

Both have the same minimum values, and the same mean. However, the SDs are different. Agree?
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Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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jakolik wrote:
Professor Vasquez gave a quiz to two classes. Was the range of scores fro the first class equal to the range of scores for the second class?

(1) In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70.
(2) In each class, the average (arithmetic mean) score on the quiz was 85

We need to determine whether the range of scores from the first class was equal to the range of scores from the second class.

Statement One Alone:

In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70.

We see that each class had a lowest score of 70; however, without any information regarding the highest scores, statement one alone is not sufficient to answer the question.

Statement Two Alone:

In each class, the average (arithmetic mean) score on the quiz was 85.

Knowing the average score does not tell us anything about the range. Statement two alone is not sufficient to answer the question.

Statements One and Two Together:

Using both statements, we see that we only know the low end of the range. Without knowing the high end of the range, we cannot determine an answer. For instance, if all the students in both classes scored 85 on the exam, then the range in both classes is zero, and thus the ranges are equal. However, if in one of the classes one student scored 70, one student scored 100, and the rest scored 85, then the range in this class is 100 - 70 = 30, and thus the ranges may not be equal.

Answer: E
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Manager  S
Joined: 22 May 2018
Posts: 52
Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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1
Can someone add the tag Gmatprep to this one. Its a Gmatprep problem.
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Math Expert V
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Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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mounicadatti wrote:
Can someone add the tag Gmatprep to this one. Its a Gmatprep problem.

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Done. Thank you.
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Re: Professor Vasquez gave a quiz to two classes. Was the range  [#permalink]

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jakolik wrote:
Professor Vasquez gave a quiz to two classes. Was the range of scores fro the first class equal to the range of scores for the second class?

(1) In each class, the number of students taking the quiz was 26, and the lowest score in each class was 70.
(2) In each class, the average (arithmetic mean) score on the quiz was 85

#1
total students = 26 , lowest score 70 ; but we dont know highest score or avg
in sufficient
#2
avg = 85 ; highest & lowest score not know in sufficeint

from 1 & 2
we cannot deduce highest score only total score sum can be obtained
IMO E
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If you liked my solution then please give Kudos. Kudos encourage active discussions. Re: Professor Vasquez gave a quiz to two classes. Was the range   [#permalink] 05 Mar 2019, 08:23
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# Professor Vasquez gave a quiz to two classes. Was the range

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