A weighted mean is an average where some values count more than others. Each value is multiplied by its weight before you add. In each worked example, every value and its weight go into a table, then you multiply, add, and divide. Click through the steps one at a time.
Weighted mean problems show up everywhere: course grades, GPAs, average prices, average speeds, and survey results. Many students know how to find a regular average but get stuck when some numbers count more than others. This lesson is built to close that gap, one step at a time.
For students
Each worked example breaks a word problem into a simple table. You see where every value and weight comes from in the problem, then you multiply, add, and divide in separate steps. You can move through each example at your own pace and replay any step as often as you need.
At the end of each example, a balance picture shows why the answer makes sense. Bigger weights pull the weighted mean toward them, and you can compare it with the plain average to see the difference for yourself.
In the practice section, you do the work. You read the problem, decide which numbers are the values and which are the weights, and fill in the table yourself. If you get stuck, one click highlights the values and weights in the problem. If you make a mistake, the hint tells you exactly what went wrong, such as dividing by the number of rows instead of the total of the weights, or using 60 instead of 0.60 for a percent.
Every practice problem is new, so you can keep practicing until the method feels natural. When you are ready, the quiz gives you five problems and a sheet of scratch paper to work them out by hand, just like on a test.
For teachers
This lesson works well for whole-class instruction, small groups, and independent practice. You can project a worked example and reveal one step at a time while students predict what comes next. The balance picture gives students a visual reason for the answer, which helps start a discussion about why a weighted mean is not the same as a regular average.
The practice problems give students immediate feedback on common mistakes, so they can correct their thinking right away instead of waiting for graded work. Because new numbers appear each time, students can practice as much as they need without memorizing answers.
The quiz is a quick check for understanding at the end of a lesson, for homework, or as review before a test. The lesson works on computers, tablets, and phones, and it needs no login or setup.