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In an examination conducted for science students in a school, the medi

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chetan2u
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In an examination conducted for science students in a school, the medi [#permalink] New post   16 Feb 2024, 05:47
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Data Insights (DI) Butler 2024 [ Date: 16-Feb-2023] 


In an examination conducted for science students in a school, the median score, mean score and the Range is as given in the table below.

Range is the difference between the largest and smallest value, while the Meanis the average of the five ratings, and Median is the center value when the values are placed in ascending/descending order.

Statistical DataScore
Mean80
Median80
Range4

(Sort ↕ the table by clicking on the headers)

Select Yes if the statement is true based on the information given above. Otherwise, select No. ­­­
Yes No
At Least 50% of the students scored more than 80
There is at least one student who scored less than 80
No one scored 84 or more
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At Least 50% of the students scored more than 80: No There is at least one student who scored less than 80: Yes No one scored 84 or more: Yes
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Re: In an examination conducted for science students in a school, the medi [#permalink] New post   06 Mar 2024, 07:03
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chetan2u Hi Chetan, shouldn't the answer in the first part of the question be 'Yes'.
Since both median and mean are 80, it is clear that the 3rd value in a set of 5, would be 80.
Thus value(1) and/or value(2) could be less than 80, with value (3,4,5) being 80 and above.
So, we can successfully answer the first part of the question as 'no', given the above information.
Hence, the answer to the main question asked, should be 'Yes'.
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Re: In an examination conducted for science students in a school, the medi [#permalink] New post   06 Mar 2024, 08:32
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Hoehenheim wrote:
chetan2u Hi Chetan, shouldn't the answer in the first part of the question be 'Yes'.
Since both median and mean are 80, it is clear that the 3rd value in a set of 5, would be 80.
Thus value(1) and/or value(2) could be less than 80, with value (3,4,5) being 80 and above.
So, we can successfully answer the first part of the question as 'no', given the above information.
Hence, the answer to the main question asked, should be 'Yes'.

Yes, that would be correct if it were DS. Here, the options are not questions but certain statements that should be true based on the basis of the information provided.

But, the wordings could be changed a bit.  thank you
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Re: In an examination conducted for science students in a school, the medi [#permalink] New post   06 Mar 2024, 08:56
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Hoehenheim wrote:
chetan2u Hi Chetan, shouldn't the answer in the first part of the question be 'Yes'.
Since both median and mean are 80, it is clear that the 3rd value in a set of 5, would be 80.
Thus value(1) and/or value(2) could be less than 80, with value (3,4,5) being 80 and above.
So, we can successfully answer the first part of the question as 'no', given the above information.
Hence, the answer to the main question asked, should be 'Yes'.

­If we have 78,80,80,80,82, then S1 will be No
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Re: In an examination conducted for science students in a school, the medi [#permalink] New post   19 Mar 2024, 02:18
chetan2u plz provide the official explanation­
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Re: In an examination conducted for science students in a school, the medi [#permalink] New post   29 Mar 2024, 14:03
1. ­At Least 50% of the students scored more than 80 => No

It could be the case that all students score 80 except for the one scoring highest and the one scoring lowest, for example 82 and 78 respectively

Then there is only 1 (out of at least 3 people) scoring more than 80

2. There is at least one student who scored less than 80 => Yes

Range is 4
=> It cannot be the case that all students scored 80

Since median and mean = 80
=> At least 1 must score less than 80

3. No one scored 84 or more => Yes

If there is anyone scoring at least 84
=> then the one scoring lowest must score at least 80
=> Impossible since there must be at least 1 scoring less than 80
 
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Re: In an examination conducted for science students in a school, the medi [#permalink]
29 Mar 2024, 14:03
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