Some teachers use a weighted mean to calculate grades. Each score is assigned a weight based on its importance. To find a weighted​ mean, multiply each score by its weight and add the results. For​ example, a​ student's final chemistry grade is based on four​ sources: 40​% from lab​ reports, 10​% from​ quizzes, 20​% from the midterm​ exam, and 30​% from the final exam. What is the​ student's weighted mean given the scores shown in the​ table? Lab Reports 81 Quizzes 90 Midterm Exam 80 Final Exam 88 Question content area bottom Part 1 The​ student's weighted score is enter your response here. ​(Simplify your answer. Type an integer or a​ decimal.)

1 answer

To calculate the weighted mean for the student, we first need to multiply each score by its respective weight and then add the results.

Weighted mean = (0.40 * 81) + (0.10 * 90) + (0.20 * 80) + (0.30 * 88)
Weighted mean = 32.4 + 9 + 16 + 26.4
Weighted mean = 83.8

Therefore, the student's weighted mean is 83.8.