Use the method of finding the average -- adding up all of the numbers in the set and dividing the result by the amount of numbers -- to find the average of each category. Let's say you're trying to find your weighted average for a class and you're working with the following averages and weight categories:  Homework average = 93% Test average = 88% Quiz average = 91 % Remember that the weight categories should add up to 100%. Let's say you're working with the following weight categories:  Homework average = 30 % of final grade Test average = 50 % of final grade Quiz average = 20 % of final grade Now, simply convert each weight category into a decimal and then multiply it by the average it represents. 30% is really .3, or 3/10 of the final grade, 50% is really .5, or 1/2 of the total grade, and 20% is really .2, or 2/10 of the final grade. Now, multiply these decimal-converted weight categories by the averages they represent.  Homework average = 93x.3=27.9{\displaystyle 93x.3=27.9}  Test average = 88x.5=44{\displaystyle 88x.5=44}  Quiz average = 91x.2=18.2{\displaystyle 91x.2=18.2} To find the final weighted average, simply add up the three results. 27.9+44+18.2=90.1{\displaystyle 27.9+44+18.2=90.1}. The final weighted average of the three groups of numbers is 90.1{\displaystyle 90.1}.
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