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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
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Is it a gre question??? Is it possible?

Posted from my mobile device
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
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tusharstat43 wrote:
Is it a gre question??? Is it possible?

Posted from my mobile device


Yes.

As the word interquartile suggests, it is a boxplot question in disguise
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
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Carcass wrote:
tusharstat43 wrote:
Is it a gre question??? Is it possible?

Posted from my mobile device


Yes.

As the word interquartile suggests, it is a boxplot question in disguise


It is covered by the syllabus, but the solution is way too long to solve as per the steps given (over 3 mins, that too if u are fast) and there are no viable shortcuts as well.

I'm no expert though and these are my 2 cents on the discussion thread.
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
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Perhaps a faster solution could be

* calculate the number of elements for each integer
* split the 100 elements into 2 groups of 50
* calculate the median for each group of 50 and take the difference
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
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Apparently i solved it with the range of 1 to 8. And applying boxplot concept, it worked.
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
Step 1. Calculate the number of balls that belong to each group 1-8 using the formula given in the question.


N(1)=18−(1−4)2=18−9=9
N(2)=18−(2−4)2=18−4=14
N(3)=18−(3−4)2=18−1=17
N(4)=18−(4−4)2=18−0=18
N(5)=18−(5−4)2=18−1=17
N(6)=18−(6−4)2=18−4=14
N(7)=18−(7−4)2=18−9=9
N(8)=18−(8−4)2=18−16=2

Step 2. Calculate the median of the whole set
Step 3. Calculate the median of the lower and upper halves respectively
Step 4. Subtract Q3 from Q1.
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
This is what I did but how to proceed further. Also add all the numbers Its not equal to 100 balls.
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
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The explanation above is the fastest and easy to follow. Moreover

N(1)=18−(1−4)2=18−9=9
N(2)=18−(2−4)2=18−4=14
N(3)=18−(3−4)2=18−1=17
N(4)=18−(4−4)2=18−0=18
N(5)=18−(5−4)2=18−1=17
N(6)=18−(6−4)2=18−4=14
N(7)=18−(7−4)2=18−9=9
N(8)=18−(8−4)2=18−16=2

Add up to 100
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
Ye sorry, My, mistake I added in a hurry. Thanks for pointing that out :)
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Re: Each of 100 balls has an integer value from 1 to 8, inclusiv [#permalink]
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