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In the year 2007 (not shown), n male
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17 Mar 2021, 07:06
17 Mar 2021, 07:06
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Student enrollment at College Y over a 7-year period.
GRE What was the greatest percentage.jpg [ 71.77 KiB | Viewed 4691 times ]
In the year 2007 (not shown), n male students and 300 female students enrolled in College Y, and the median total enrollment for the 8 years from 2000 through 2007 became 834.5. What is the value of n?
519
535
540
541
551
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Attachment:
GRE What was the greatest percentage.jpg [ 71.77 KiB | Viewed 4691 times ]
In the year 2007 (not shown), n male students and 300 female students enrolled in College Y, and the median total enrollment for the 8 years from 2000 through 2007 became 834.5. What is the value of n?
519
535
540
541
551
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: In the year 2007 (not shown), n male
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05 Dec 2024, 14:02
05 Dec 2024, 14:02
1
An easier way here is to know that 834.5 is the average/midpoint of 828 and a number right above 834.50
Algebraically, this would be (828 + x) / 2 = 834.5 -> solve and x = 841 (total enrolment for 2007)
Total = 841
n + 300 = 841
n = 541
Algebraically, this would be (828 + x) / 2 = 834.5 -> solve and x = 841 (total enrolment for 2007)
Total = 841
n + 300 = 841
n = 541
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Re: In the year 2007 (not shown), n male
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17 Mar 2021, 07:46
17 Mar 2021, 07:46
Carcass wrote:
Student enrollment at College Y over a 7-year period.
In the year 2007 (not shown), n male students and 300 female students enrolled in College Y, and the median total enrollment for the 8 years from 2000 through 2007 became 834.5. What is the value of n?
519
535
540
541
551
Attachment:
GRE What was the greatest percentage.jpg
In the year 2007 (not shown), n male students and 300 female students enrolled in College Y, and the median total enrollment for the 8 years from 2000 through 2007 became 834.5. What is the value of n?
519
535
540
541
551
Total number of students in 2007 = \(300 + n\)
Arrange the Total number of students in ascending order first
760 800 813 (300 + n) 828 850 891 933
NOTE: (300 + n) has to be the 4th or 5th term - otherwise the median would not be 834.5
Median = 834.5 = Average of 4th and 5th term
So, Sum of 4th and 5th term = 1669
Therefore, 300 + n + 828 = 1669
n = 541
Hence, option D
