Since the probabilities for each value of x will likely not all be the same, we can apply the weighted average formula. In statistics, you will often encounter a discrete probability distribution that has values for x and their associated probabilities. If the test scores are 75, 90, and 88, the quiz average is 70, and the homework grade is 86, the weighted average is as follows:Ĭompare this to a non-weighted average of (75 + 90 + 88 + 70 + 86) / 5 = 81.8 To calculate the average, you multiply the percentage by the grades and add them together. Each of the three exams is worth 25 percent of the grade, the quizzes are worth 15 percent, and the homework assignments are worth 10 percent. Typically, we present the weights in the form of a percentage or (in statistics) a probability of occurrence.įor example, let's suppose that exams, quizzes, and homework assignments all contribute to a class's grade. Sometimes it may be a really significant difference - like a grade difference or even whether you pass or fail your course.īut what does it mean? To figure out how to calculate a weighted average, we need to know the weight of each value. Then we don't take the credits into account, and we divide the sum of grades by its total number. Let's compare this result to an average that is not weighted. We may write the whole weighted average formula as: So, for our example, it's equal to 44.6/13 = 3.43 Divide the sum by the total number of credits.Take the value assigned to the grade and multiply it by the number of credits.4 + 4 + 3 + 2 = 13, that was a really easy step. Now that we have all the information, we can have a look at how to calculate the GPA using a weighted average method: So from the table, we know that A = 4.0, B = 3.0, and C+ = 2.3.
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