The second case is when you have a group of items that each has a frequency associated with it. In these types of situations, using a weighted average can be much quicker and easier than the traditional method of adding up each individual value and dividing by the total.
This is especially useful when you are dealing with large data sets that may contain hundreds or even thousands of items but only a finite number of choices. However, since there are a total of students in the class, across four sections, the traditional method of finding an average would involve adding up individual numbers.
However, using a weighted average would probably only involve using 40 to 50 different numbers, along with their frequencies.
A student is enrolled in a biology course where the final grade is determined based on the following categories: The student has earned the following scores for each category: To calculate a weighted average with percentages, each category value must first be multiplied by its percentage. Then all of these new values must be added together.
A student has earned the following averages in his history course: We will use the same method for calculating a weighted average that we used in the previous problem except that now we already know the overall grade and do not know one of the category values.
First, we will multiply each value by its percentage to get the following: Note that a variable, x, is used in place of the value for the final exam score since that is what we are trying to find. Dividing both sides by. Thus, this student must earn a You are thinking about signing up for a two-year contract of new satellite television service which offers the following discounts: We have to find the average monthly savings for the first two years of your service.
Get access risk-free for 30 days, just create an account. Although this problem could be done by using a standard average calculation, it will be much quicker to calculate the average monthly savings by using a weighted average.
First, you will multiply each value the amount of savings in this example by the frequency with which it occurs. Then, you will add up all of these values and divide by the total number of months, since we are looking for the average monthly discount over the entire two-year 24 month period. However, it is much faster to simply multiply each value by its frequency and add those four numbers, which is the idea of a weighted average. This chart below shows the number of runs a major league baseball team scored in a game and the number of times each value occurred.
To calculate the average we need to first multiply each value of runs scored by its frequency and add up the values. The calculation should look like this:. The average , or arithmetic mean , of a series of items means you simply add up all the item values and divide by the total number of items to calculate the average. A weighted average is an average where each value has a specific weight or frequency assigned to it.
The second case is when you have a group of items and each has a frequency associated with it. To unlock this lesson you must be a Study. Did you know… We have over college courses that prepare you to earn credit by exam that is accepted by over 1, colleges and universities.
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Although the formula for calculating weighted averages is not complex, many students are not aware of it, finding it somewhat difficult to calculate the weighted average correctly. This is a topic that should not be neglected, since understanding how to calculate a weighted average is essential not only for solving average problems, but .
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dissertation francais aide Homework Help On Weighted Averages purchase a dissertation 3rd edition essaycustom com. Weighted arithmetic average means the relative importance of the data. As a matter of fact, all the items of a series are not equally important for the purpose of a study.
Video: Calculating Weighted Average: Method, Formula & Example This lesson will examine the concept of a weighted average and types of situations when it should be used instead of a standard average. Sep 01, · Want to know what weighted average method is and how its calculation works? If yes, seek Weighted-Average Method homework help!/5().