Question

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 Lab Repor score by its weight and add the results. For example, a student's final chemistry grade is based on four sources: 30% from lab reports, 10% from quizzes, 25% from the midterm exam, and 35% from the final exam. What is the student's weighted mean given the scores shown in the table? Lab reports:81 Quizzes: 94 Midterm Exam: 75 Final Exam: 85

The students weighted score is__

Answer 1

To find the student's weighted mean, you need to multiply each score by its weight and add the results. The weights are given as percentages, so you need to divide them by 100 to convert them to decimal form. The weights are:

Lab reports: 30% = 0.3
Quizzes: 10% = 0.1
Midterm exam: 25% = 0.25
Final exam: 35% = 0.35

Now, you can calculate the weighted mean by multiplying each score by its weight and adding the results:

Weighted mean = (0.3 * 81) + (0.1 * 94) + (0.25 * 75) + (0.35 * 85)
= 24.3 + 9.4 + 18.75 + 29.75
= 82.2

So, the student's weighted mean is 82.2.