Question 447317: To get a grade of B, a student must have a mean average of 80 of greater. Jim Condron has a mean average of 79 for 10 quizzes. He approaches his teacher and asks for a B, reasoning that he missed a B by only one point. What is wrong with Jim's reasoning?
Found 2 solutions by stanbon, richard1234:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! To get a grade of B, a student must have a mean average of 80 of greater. Jim Condron has a mean average of 79 for 10 quizzes. He approaches his teacher and asks for a B, reasoning that he missed a B by only one point. What is wrong with Jim's reasoning?
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Total points/# of quizzes = average score
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Jim has 10*79 = 790 points on 10 quizzes
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Jim needs 11*80 = 880 points on 11 quizzes to get a "B".
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Jim needs 880-790 = 90 points on his last quizz.
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Cheers,
Stan H.
Answer by richard1234(7193)  (Show Source):
You can put this solution on YOUR website! It seems like the main flaw is that, if Jim obtains a B with a 79 average, then if there is someone with a 78 average that is aware of this, he will also ask the teacher for a B (since he is technically one point away from Jim's "B" grade). Then a student with a 77 average will ask for a B, and so on.
This is similar to saying that the statements "1 is approximately 1.001," "1.001 is approximately 1.002," ..., "999.999 is approximately 1000" imply that 1 is close to 1000.
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