For instance, maybe your total grades are 82 for quizzes, 90 on your exam, and 76 on your term paper.
In order to use these percentages in your calculation, you’ll need to convert them to decimal form. The resulting numbers are called “weighting factors. ”
For example, if your total quiz score is 82 and quizzes are worth 20% of your grade, multiply 82 x 0. 2. In this case, x=82 and w=0. 2.
The weighted average for your quiz grades, exam, and term paper would be as follows: 82(0. 2) + 90(0. 35) + 76(0. 45) = 16. 4 + 31. 5 + 34. 2 = 82. 1. This means you have a grade of 82. 1% in the course.
For example, maybe you’re trying to figure out how many hours of sleep you get each night on average over the course of 15 weeks, but it varies from week to week. You may sleep 5, 8, 4, or 7 hours a night.
9 weeks when you slept 7 hours a night on average. 3 weeks when you slept 5 hours a night. 2 weeks when you slept 8 hours a night. 1 week when you slept 4 hours a night. The number of weeks associated with each number of hours is your weighting factor. In this case, you slept 7 hours a night during most weeks, while there were relatively few weeks when you slept more or fewer hours.
The total number of weeks you looked at adds up as follows: 3 weeks + 2 weeks + 1 week + 9 weeks = 15 weeks.
5 hours per night (3 weeks) + 8 hours per night (2 weeks) + 4 hours per night (1 week) + 7 hours per night (9 weeks) = 5(3) + 8(2) + 4(1) + 7(9) = 15 + 16 + 4 + 63 = 98
98/15 = 6. 53. This means you slept an average of 6. 53 hours each night over the course of 15 weeks.
