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50 students of a certain class took a test. How many of them

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Joined: 23 Aug 2006
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50 students of a certain class took a test. How many of them [#permalink]  24 Oct 2006, 13:57
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50 students of a certain class took a test. How many of them got a score less than 82?
1). the average score is 82
2). the median is 82
Director
Joined: 23 Jun 2005
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Re: DS [#permalink]  24 Oct 2006, 14:04
Cedars wrote:
50 students of a certain class took a test. How many of them got a score less than 82?
1). the average score is 82
2). the median is 82

E

Statement 1: Clearly INSUFF.

Statement 2: If the 25th and 26th scores are both 82, then there are 24 scores less than 82.
If they are different (say, 25th is 81 and 26th is 83), then there are 25 scores less than 82. INSUFF

Together, knowing the average doesn't help. INSUFF
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Re: DS [#permalink]  24 Oct 2006, 14:10
anandsebastin wrote:
Cedars wrote:
50 students of a certain class took a test. How many of them got a score less than 82?
1). the average score is 82
2). the median is 82

E

Statement 1: Clearly INSUFF.

Statement 2: If the 25th and 26th scores are both 82, then there are 24 scores less than 82.
If they are different (say, 25th is 81 and 26th is 83), then there are 25 scores less than 82. INSUFF

Together, knowing the average doesn't help. INSUFF

In this question I immediately thought of the mean equal the median, consecutive numbers. so you'll have consecutive numbers leading ie. .....79,80,81,82,82,83,84,85.... why is that line of thought incorrect?

Thanks
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Explanation on median [#permalink]  24 Oct 2006, 14:14
In this case median will be marks scored by the student in middle

Since 50 is even, there is no 1 in the middle so avg of score of 25th and 26th student is median

since median is 82

25th and 26th student could have scored 82 82 or 81 83 or 80 84 etc

So we can not be sure if 25 or 24 people scored below 82.
Explanation on median   [#permalink] 24 Oct 2006, 14:14
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