Weighted Average Meaning Math

A method of computing a kind of arithmetic mean of a set of numbers in which some elements of the set carry more importance weight than others.

Weighted average meaning math. Weighted average is a calculation that takes into account the varying degrees of importance of the numbers in a data set. The power of weighted average is noticeable with a final exam. While weighted means gen. As an example suppose that a marketing firm conducts a survey of 1 000 households to determine the average number of tvs each household owns.

The weighted arithmetic mean is similar to an ordinary arithmetic mean the most common type of average except that instead of each of the data points contributing equally to the final average some data points contribute more than others. You find the weighted arithmetic mean by dividing the numerator by the denominator. In calculating a weighted average each number in the data set is. Add up the numbers divide by how many numbers.

Also called weighted average. The data show a large number of households with two or three tvs and a smaller number with one or four. The weighted mean also called weighted average is used a lot by teachers you will learn how to calculate the weighted average using a real life example. A mean where some values contribute more than others.

If pat has a homework grade of 92 a quiz grade of 68 and a test grade of 81 then. When we do a simple mean or average we give equal weight to each number. Mean 1 2 3 44 104 2 5. If all the weights are equal then the weighted mean is the same as the arithmetic mean.

As the name suggests a weighted average is one where the different numbers you re working with have different values or weights relative to each other. Suppose that homework counts 10 quizzes 20 and tests 70. Grades are often computed using a weighted average. The weighted mean is a type of mean that is calculated by multiplying the weight or probability associated with a particular event or outcome with its associated quantitative outcome and then summing all the products together.

A weighted average otherwise known as a weighted mean is a little more complicated to figure out than a regular arithmetic mean.