Difference between revisions of "2014 AMC 12A Problems/Problem 5"

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Problem 5
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#REDIRECT[[2014 AMC 10A Problems/Problem 5]]
 
 
On an algebra quiz, 10% of the students scored 70 points, 35% scored 80 points, 30% scored 90 points, and the rest scored 100 points. What is the difference between the mean and median score of the students' scores on this quiz? <br>
 
(A) 1  (B) 2  (C) 3  (D)  4  (E) 5
 
 
 
Solution
 
 
 
The mean can solved by the following. 10% of 70 is 7, 35% of 80 is 28, 30% of 90 is 27, and (100% - 10% - 35% - 30%) = 25%. 25% of 100 is 25. 7 + 28 + 27 + 25 = 87. <br>
 
The median can be solved by finding the number present at the 50% mark, which is 90.<br>
 
90-87 equals 3, which is (C) 3.
 

Latest revision as of 13:09, 8 February 2014