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In a distribution of the values of the variable x, the 50th

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In a distribution of the values of the variable x, the 50th [#permalink] New post   29 Nov 2019, 02:38
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In a distribution of the values of the variable x, the 50th percentile is 48.5, and the 60th percentile is 56.5.

Quantity A
Quantity B
The 40th percentile of the distribution of the values of x
40.5



A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

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luffy
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Re: In a distribution of the values of the variable x, the 50th [#permalink] New post   29 Nov 2019, 18:40
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Numbers less than 50 percentile could be anything <48.5. There isnt much information to compare the 40th percentile with 40.5
One could fall into a trap, if you think about linearly distributing the values between and finding 40th percentile which would be less than 40.
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praveensamudrala
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Re: In a distribution of the values of the variable x, the 50th [#permalink] New post   29 Nov 2019, 20:48
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Here, the unknown information is the type of distribution of the information. Lets consider the Normal and Linear distributions.
In Linear, the percentile follows the number of students. So 60-50 percentile is 10 percentile corresponds to 56.5-48.5 = 10.
Now, 40 percentile is 50-10 percentile which gives 48.5-10 = 40.5, so option C
But, we exactly don't the distribution here, so we can't choose C.
As the information is missing, we can go with option D. (We can go with this option right in the beginning, but just ensuring we are not missing out anything.)
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Re: In a distribution of the values of the variable x, the 50th [#permalink] New post   06 Apr 2020, 13:44
mmm, this is tricky
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Re: In a distribution of the values of the variable x, the 50th [#permalink] New post   19 Jun 2021, 10:18
"normal distribution " is missing, right?
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Re: In a distribution of the values of the variable x, the 50th [#permalink] New post   12 Dec 2024, 04:28
I think of of percentile questions (when it is not a normal distribution) as just 100 people people. When they say 50th percentile, it translates to the 51st person has a value of 48.5. So others have to have a value lesser than or equal to 48.5 as the data is in ascending order. As a result, the 40th percentile can = 48.5 or anything below it. D.
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Re: In a distribution of the values of the variable x, the 50th [#permalink]
12 Dec 2024, 04:28
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