M119L05-page13 - much more than any other exam. We will...

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(Lesson 5: Measures of Center; 3-2) 3.13 Example 5 (Course grade) You receive the following scores in a class: Exam % of Course Grade Score (out of 100 points) Quiz 1 10% 75 Quiz 2 10% 80 Quiz 3 10% 100 Midterm 25% 95 Final 45% a You have not yet taken the Final, so we have labeled the Final score with a hopeful “ a ”. What must you get on the Final to get at least 90% in the course overall (that is, at least 90 points as a weighted average)? Solution to Example 5 Again, we are asking about a weighted mean. Observe that the Final is worth
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Unformatted text preview: much more than any other exam. We will write the exam weights as decimals: 0.10 for 10%, etc. Course average = w x w = 0.10 ( ) 75 ( ) + 0.10 ( ) 80 ( ) + 0.10 ( ) 100 ( ) + 0.25 ( ) 95 ( ) + 0.45 ( ) a ( ) 1 = 49.25 + 0.45 a Warning : Do not combine the unlike terms 49.25 and 0.45 a as 49.70a; that is wrong! We have expressed your course average as a function of a , the score on the Final....
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