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In a class test, the median score is 50. what percent of the students

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In a class test, the median score is 50. what percent of the students  [#permalink]

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New post 05 Oct 2017, 07:46
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In a class test, the median score is 50. what percent of the students scored less than 75 and more than 50?

1) the students who scored less than 75 and more than 50 is equal the number of the students who scored more than 75
2) 100 students took the test and all were scored on a scale from 0 to 100
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Re: In a class test, the median score is 50. what percent of the students  [#permalink]

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New post 05 Oct 2017, 08:10
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The median score is 50

(1) Suppose, the class have 10 students. Now if median is 50, 5th and 6th students can both score 50, or they can score 40 and 60 respectively. For each case, the percentage will be different. Hence, Insuff.

(2) 100 students took the test. same situation as case (1). further, there is no information provided about the students who score above 75.

(1) & (2) together:

same as (1), either both 50th and 51st students can score 50, or they can score 40 & 50, or 45 & 55. So the percentage will be different in both cases. Hence, insiuff.

Ans: E.
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Re: In a class test, the median score is 50. what percent of the students  [#permalink]

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New post 14 Oct 2017, 02:48
saswata4s wrote:
The median score is 50

(1) Suppose, the class have 10 students. Now if median is 50, 5th and 6th students can both score 50, or they can score 40 and 60 respectively. For each case, the percentage will be different. Hence, Insuff.

(2) 100 students took the test. same situation as case (1). further, there is no information provided about the students who score above 75.

(1) & (2) together:

same as (1), either both 50th and 51st students can score 50, or they can score 40 & 50, or 45 & 55. So the percentage will be different in both cases. Hence, insiuff.

Ans: E.


If 50th and 51st students score 50 that means 49 students score greater than 50. As per statement 1, No. of students who score between >50 and <75 is equal to No. of students who score greater than 75.
So this cannot be the case as number of students needs to be even to be able to be split equally between both.

I think it is E because statement A does not take into consideration the number of students who have marks equal to 75. Your case becomes valid in this scenario that some students might have marks equal to 75.

Would the answer be C if we had count of students who had marks equal to 75 in statement A ?
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In a class test, the median score is 50. what percent of the students  [#permalink]

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New post 14 Oct 2017, 03:24
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Harikrushna Kotadiya wrote:
In a class test, the median score is 50. what percent of the students scored less than 75 and more than 50?

1) the students who scored less than 75 and more than 50 is equal the number of the students who scored more than 75
2) 100 students took the test and all were scored on a scale from 0 to 100


point 2 adds pretty much nothing, so wholly insufficient in its own. we are asked for % not qty. Maybe the fact that it gives us a score range matters? not in this case at least....

point 1 only gives us one restriction on the spread, so insufficient. 100% of students could have scored a 50, and this restriction is still satisfied (i.e. 0% between 51-75 and 0% above 75) , or perhaps 10% scored above and below, etc. This statement doesn't give us any concrete distribution.

combined, still insufficient. We know we have 100 students (not worth anything since we need %) and that some areas of the distribution are even to each other. That's it.
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Re: In a class test, the median score is 50. what percent of the students  [#permalink]

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New post 19 Nov 2017, 06:40
E: we dont know how many students scored 75..

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Re: In a class test, the median score is 50. what percent of the students  [#permalink]

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Re: In a class test, the median score is 50. what percent of the students   [#permalink] 03 May 2019, 12:22
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