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Mr. Choudury’s fourth-grade class consists of 20 students:
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27 May 2018, 03:49
27 May 2018, 03:49
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Mr. Choudury’s fourth-grade class consists of 20 students: 12 boys and 8 girls. If the boys weigh an average of 80 pounds each and the girls weigh an average of 70 pounds each, what is the average weight, in pounds, of all 20 students?
(A) 71
(B) 74
(C) 75
(D) 76
(E) 79
(A) 71
(B) 74
(C) 75
(D) 76
(E) 79
Re: Mr. Choudury’s fourth-grade class consists of 20 students:
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27 May 2018, 12:56
27 May 2018, 12:56
Expert Reply
Explanation
The most straightforward approach is to determine the total weight of all 20 students, and divide that total by 20:
12 boys × 80 pounds per boy = 960 pounds
8 girls × 70 pounds per girl = 560 pounds
Total = 1,520 pounds
\(\frac{1520}{20}=76\)
Alternatively, many or even most GRE multiple-choice weighted average problems have the same five answers:
Much closer to the lesser value
A little closer to the lesser value
The unweighted average of the two values
A little closer to the greater value
Much closer to the greater value
Any of these five choices could be correct, but the correct answer is usually “a little closer to the lesser value” or “a little closer to the greater value.” In this case, because there are a few more boys than girls, the avergae for the whole class will be a little closer to the boys’ average weight than to the girls’.
The most straightforward approach is to determine the total weight of all 20 students, and divide that total by 20:
12 boys × 80 pounds per boy = 960 pounds
8 girls × 70 pounds per girl = 560 pounds
Total = 1,520 pounds
\(\frac{1520}{20}=76\)
Alternatively, many or even most GRE multiple-choice weighted average problems have the same five answers:
Much closer to the lesser value
A little closer to the lesser value
The unweighted average of the two values
A little closer to the greater value
Much closer to the greater value
Any of these five choices could be correct, but the correct answer is usually “a little closer to the lesser value” or “a little closer to the greater value.” In this case, because there are a few more boys than girls, the avergae for the whole class will be a little closer to the boys’ average weight than to the girls’.
Re: Mr. Choudurys fourth-grade class consists of 20 students:
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03 Nov 2022, 04:47
03 Nov 2022, 04:47
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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