Grade-Point Average Marissa has just completed her second seme...

Question

Grade-Point Average Marissa has just completed her second semester in college. She earned a B in her five-hour calculus course, an A in her three-hour social work course, an A in her four-hour biology course, and a C in her three-hour American literature course. Assuming that an A equals 4 points, a B equals 3 points, and a C equals 2 points, determine Marissa’s grade-point average for the semester.

Accepted Answer

Welcome back, everyone. A student received the following scores in a mathematics course 72, 85, 91, 78, and 88 on five quizzes. She also scored 89 on the midterm exam, 93 on a group project, and 75 on assignments. The final grade is determined by the following weight distribution quizzes are 50%, midterm exam is 20%, the project is 15%, and assignments are 15%. What is the student's weighted mean score? What letter grade did she earn an A, B, C, D, or F and assume that a mean of 90 or above is an A, a mean of 80 to 89 is a B, and so on. A says her weighted mean is 90.2, which corresponds to an A. B says it's 84.4, which corresponds to a B. C 78.9, which corresponds to a C and a D 69.5, which corresponds to a D. Now, how do we compute our final grade? How do we get that weighted mean score? Well, our problem tells us, OK? So now, from our problem statement, we know that the final grade. OK, the final grid, which is gonna be X bar. Is equal to The quiz mean, OK, so it's gonna be the quiz mean multiplied by its weight or the weighted quiz mean. OK. Or rather, let's actually write the weight. So it's gonna be 50% multiplied by the quiz mean. OK. Plus The weight of the midterm, OK. So the weight of the midterm is 20% multiplied by the midterm grade, OK. Plus, the project weight, which is 15% multiplied by the project grade, OK. Plus the assignment with 15% multiplied by that grade, OK. That's all we'll get the final grade. That's what our problem tells us. No, we already know that so far we have our midterm grade, we have our project grade, and we have our assignment grade. So no, we need to figure out the quiz mean so that we can put it into our formula to get the final grade. How can we get the quiz mean? Well, all we need to do is to find the mean of those 5 values for our quiz scores, OK? So we're gonna add those up and divide by 5. So the quiz mean would be 72 + 85 + 91 + 78 + 88, all divided by 5. The sum of those values is 414 and 414 divided by 5 is equal to 82.8. Thus, 82.8 is the quiz mean. Now that we have that value, we can find the final grid because this no implies then that the final grid is going to be equal to 50% or 0.5% multiplied by 82.8. Plus 20% or 0.2 multiplied by 8 to 9 or midterm grade. Plus 15% or 0.15 multiplied by our project grade 93, plus 15% 0.15 multiplied by the assignment grade 75. No, 0.5 multiplied by 82.8 is 4141.4, 0.2 multiplied by 89 is 17.8. 0.15 multiplied by 93 is 13.95 and multiplied by 75, it's 11.25. And when we add all of these up, then we get our final grade to be 84.4. Now remember that we were told a mean of 80 to 89 is a B. Therefore, that means our student or the student earns, the student with her weighted mean of 84.4 earns a B. Thus, B is the correct answer. Thanks a lot for watching everyone. I hope this video helped.

Key Concepts

Grade Points and Letter Grades

Credit Hours and Weighted Averages

Calculating Grade-Point Average (GPA)

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