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In a data set of 10,000 numbers varying from 20 to 80, the n
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17 Dec 2017, 13:06
17 Dec 2017, 13:06
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In a data set of 10,000 numbers varying from 20 to 80, the number 62 is the \(60^{th}\) percentile and the number 74 is the \(n\)th percentile..
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
n |
70 |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
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Re: In a data set of 10,000 numbers varying from 20 to 80, the n
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13 Nov 2018, 11:59
13 Nov 2018, 11:59
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Carcass wrote:
In a data set of 10,000 numbers varying from 20 to 80, the number 62 is the \(60^{th}\) percentile and the number 74 is the \(n\)th percentile..
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
n |
70 |
A. Quantity A is greater.
B. Quantity B is greater.
C. The two quantities are equal
D. The relationship cannot be determined from the information given.
Consider these two possible scenarios.
CASE #1: The 10,000 numbers consist of 6,000 20's, one 62, one 74 and 3998 80's
Since 6,000 of the 10,000 numbers are less than 62, we can see that 62 is in the 60th percentile (since 6,000/10,000 = 60%)
Since 6,001 of the 10,000 numbers are less than 74, we can see that 74 is in the 60.01th percentile (since 6,001/10,000 = 60.01%)
So, in this case, n = 60.01
We get:
QUANTITY A: 60.01
QUANTITY B: 70
In this case QUANTITY B IS GREATER
CASE #2: The 10,000 numbers consist of 6,000 20's, one 62, 2999 63's, one 74 and 999 80's
Since 6,000 of the 10,000 numbers are less than 62, we can see that 62 is in the 60th percentile (since 6,000/10,000 = 60%)
Since 9,000 of the 10,000 numbers are less than 74, we can see that 74 is in the 90th percentile (since 9,000/10,000 = 90%)
So, in this case, n = 90
We get:
QUANTITY A: 90
QUANTITY B: 70
In this case QUANTITY A IS GREATER
Answer: D
Cheers,
Brent
General Discussion
Re: In a data set of 10,000 numbers varying from 20 to 80, the n
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09 Jan 2018, 19:39
09 Jan 2018, 19:39
2
we are not told that 10 000 numbers evenly distributed, so I believe we cannot draw conclusion about n, therefore answer should be D
