Weighted Average Calculator
Use this free Weighted average calculator to quickly calculate the weighted arithmetic average of a set of data.
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About Weighted Average Calculator
The Weighted Average Calculator is the simplest instrument for the determination of the Weighted Average. It is necessary to type in the base number and number to proceed. It also shows the answer in the Weighted Average (Mean), which helps to calculate the Weighted Average.
The Weighted Average Calculator is mainly designed to solve Weighted Average problems. Independent of the role in which you may work such as an engineer, a business person, a student and so on it may come in handy in determining the Weighted Average. Thus it will help you to avoid time consuming and you can select the right solution among all.
About Weighted Averages
A quick, basic introduction to computing weighted averages Do you have problems computing the weighted averages? Relax, stand easy—we are with you anyway! In this post, we have explained the method using simple examples and a bare-bones equation.
A Weighted Average: What Is It? Suppose you are a learner who wishes to know your final grade. There are three subjects: English, science, and mathematics; each of which has its focus. There are many ways to determine your final mark – one of these options is to use weighting of topics and calculate average.
Weighted Average Calculator: You will find our calculator very helpful in making your life easier. This tool is easy to use; you just have to input the values & weights thereafter this calculator will quickly solve the Weighted Average.
Weighted average formula:
The formula for calculating a weighted average is:
- = value of the data point
- = weight assigned to the data point
- = total number of data points
weighted average calculation
Using the weighted average formula, the calculation would be:
So, the weighted mean score for the student is 84.
Example of a weighted mean score:
Here’s an example: let’s say you’re calculating your overall grade in a class with the following steps:
Quizzes (30% weightage) Average score: 75
Midterm Exam (20% weightage): Score: 80
Final Project (40% weightage): Score: 85
Here’s how to find the weighted average (weighted grade):
Calculate the weighted product for each component:
Quizzes: 75 * 0.3 (30% as a decimal) = 22.5
Midterm Exam: 80 * 0.2 (20% as a decimal) = 16
Final Project: 85 * 0.4 (40% as a decimal) = 34
Sum the weighted products: 22.5 + 16 + 34 = 72.5
Sum the weights (1 since they represent percentages): 0.3 + 0.2 + 0.4 = 0.9.
Divide the sum of weighted products by the sum of weights: 72.5 / 0.9 = 80.55
Therefore, your weighted grade (overall average) in the class is 80.55.
If you calculate the Weighted Average based on the Weighted Average calculation formula but have doubts, use our Weighted Average Calculator to double-check the findings if you’re unsure.
Frequently Asked Questions (FAQ)
What differentiates a simple average from a weighted average?
Answer: A weighted average considers the importance or weight of each number, while a simple average assumes that all values have equal weight.
Question: How can I select the proper weights?
Answer: The relative relevance or importance of each value should be reflected in the weights.
Question: Can non-numeric data be used with a weighted average?
Answer: Yes, while the calculation technique may differ, a weighted average can be used for ordinal or categorical data.
The following table shows an example of how to calculate a weighted mean score for three assignments:
| Assignment | Score | Weight | Product (Score * Weight) |
|---|---|---|---|
| Test | 90 | 0.5 | 47.5 |
| Homework 1 | 80 | 0.2 | 16 |
| Homework 2 | 90 | 0.3 | 27 |
| Total | 90.5 |
Therefore, the weighted mean score for the three assignments is 90.5.
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weighted grade Calculating
| Class | Grade (Latter) | Grade (Scale) | Credits |
|---|---|---|---|
| English | A | 5.0 | 3 |
| Mathematics | B | 4.0 | 2 |
| Chemistry | C | 3.0 | 3 |
| Physics | B+ | 2.3 | 1 |
Calculation Example
The amount of credits for each course serves as the weights in this instance. The process for determining a weighted GPA based on credit count would be as follows:
(5.0 x 3 + 4.0 x 2 + 3.0 x 3 + 2.3 x 1) / (3 + 2 + 3 + 1) = (15 + 8 + 9 + 2.3) / 9 = 34.3 / 9 = 3.81(4). Compare this to the ordinary mean of 34 / 4 = 8.5.
Example: Let’s say you want to calculate your weighted average grade.
Table Example:
| subject | Grade | Weight |
|---|---|---|
| maths | 80 | 0.3 |
| Science | 90 | 0.4 |
| English | 70 | 0.3 |
Imagine you are a financial whiz, and you want to calculate the Indian average return on investment (ROI) for a portfolio of stocks.
Table Example:
| Stock | ROI | Weight |
|---|---|---|
| Apple | 10% | 0.2 |
| 15% | 0.3 | |
| Amazon | 12% | 0.5 |
Weighted Average ROI = (10% x 0.2) + (15% x 0.3) + (12% x 0.5) = 2% + 4.5% + 6% = 12.5%
weighted mean score
In this example, we will calculate the average score for different computer offers. All computers will have different weights. which we have given in the table below.
| Speciality | Weight |
|---|---|
| Weight | 5 |
| CPU | 3 |
| Display | 4 |
| Battery | 4 |
| Video card | 3 |
weighted score comparison
In this example, we will calculate the average score for different computers. The weighted average score for each computer is calculated in the table below.
| Computer ID / Score | CPU | Weight | SMPS | Video Card | Display | Weighted Score |
|---|---|---|---|---|---|---|
| Computer.1 | 8 | 8 | 9 | 6 | 7 | 8.11 |
| Computer.2 | 9 | 6 | 6 | 9 | 10 | 7.42 |
| Computer.3 | 6 | 7 | 10 | 9 | 7 | 7.53 |
| Computer.4 | 7 | 10 | 7 | 9 | 9 | 8.11 |
| Computer.5 | 7 | 7 | 8 | 7 | 7 | 7.15 |
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