Question 1195348
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A = number of freshmen
B = number of sophomores
C = number of juniors
D = number of seniors
E = number of graduate level students


Add up all those population counts and divide by 5 to determine the average. We're told the average is 6000 which means:
(A+B+C+D+E)/5 = average
(A+B+C+D+E)/5 = 6000
A+B+C+D+E = 5*6000
A+B+C+D+E = 30,000


We're also told that if we exclude the graduate level, then the average becomes 7000 per class level
So,
(A+B+C+D)/4 = 7000
A+B+C+D = 4*7000
A+B+C+D = 28,000


Let's use that in the previous equation found earlier
A+B+C+D+E = 30,000
(A+B+C+D)+E = 30,000
(28,000)+E = 30,000
E = 30,000 - 28,000
E = <font color=red>2,000</font>


The wording of "Which of the following <b><u>could</u></b> be the number of students classified as graduate level?" should instead be "Which of the following <b><u>is</u></b> the number of students classified as graduate level?" because there's only one possible value for E. The "could" makes it seem like other answers are possible, which isn't the case. 


Answer: <font color=red> B) 2,000</font>
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