Question

Student X is studying Early American Sculpture. The professor has four assessments with the following weights: Test: up to 107 pts Writing: up to 47 points Sketches: up to 35 points At the end of the semester, their scores are as follows: Student X Test 99 Writing 30 Sketches 13 How many weighted points has Student X earned? (Keep one decimal place)

          Student X is studying Early American Sculpture. The professor has four assessments with the following weights: Test: up to 107 pts Writing: up to 47 points Sketches: up to 35 points
At the end of the semester, their scores are as follows:
Student X
Test
99
Writing
30
Sketches
13
How many weighted points has Student X earned? (Keep one decimal place)
        
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Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
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Student X is studying Early American Sculpture. The professor has four assessments with the following weights: Test: up to 107 pts Writing: up to 47 points Sketches: up to 35 points At the end of the semester, their scores are as follows: Student X Test 99 Writing 30 Sketches 13 How many weighted points has Student X earned? (Keep one decimal place)
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Transcript

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00:01 In this problem, we have been given a student's quiz scores for four quizzes, and we need to determine what score the student needs on the fifth quiz to have a mean score of 87 % if all of the quizzes have equal weights.
00:15 So according to the question, we need the mean to be 87%.
00:21 And 87 % is 87 by 100, which is 0 .87.
00:27 Now, the mean, this over here, it is said that all of the quizzes have equal weight.
00:33 So the mean will simply be the sum of all of the scores divided by the number of scores.
00:40 And we want the mean for five quizzes, so the number of scores will be five.
00:45 And in the numerator, we need the sum of all of the quiz scores.
00:48 So the first quiz score is 89%, that's 89 by 100 or 0 .89.
00:53 The second quiz score is 90 % at 0 .90.
00:57 The third quiz score is 82%.
00:59 That's 0 .82.
01:01 The next quiz score is 77 % that's 0 .77...
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