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  3. When the average of a list of course grades is multiplied by the number of courses, the result is n. What does n represent?

When the average of a list of course grades is multiplied by the number of courses, the result is n. What does n represent?

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问题 When the average of a list of course grades is multiplied by the number of courses, the result is n. What does n represent?
选项 A、Half the number of courses
B、Half the sum of course grades
C、The number of courses
D、The average of the course grades
E、The sum of the course grades
答案E
解析 The correct answer is E. You are given that the product of the average of a list of course grades and the total number of courses is n. Recall that average, A, is equal to the sum of the course grades, G, divided by the number of courses, C; thus A = G/C. Because n is the product of the number of courses, C, and the average of the course grades, A, n=AC. Further, because A = G/C, multiplying both sides by C yields G=AC. Finally because n=AC and G=AC, it follows that n = G. Thus n is the sum of the course grades.
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