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Weighted Average Calculator

Write down data set values and the calculator will calculate their weighted average, with step-by-step calculations shown.

Value

Weight

x₁

x₂

x₃

x₄

x₅

x₆

x₇

x₈

x₉

x₁₀

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Weighted Average Calculator

Use this online weighted average calculator to calculate the weighted arithmetic mean of a data set. It also provides the sum of the weights and detailed step-by-step solutions. Understanding how this calculator works starts with knowing what a weighted average is.

What is a Weighted Average?

The weighted average accounts for the varying importance of numbers in a data set. Unlike a simple average, each number is multiplied by a weight representing its significance.

Weighted Average Formula:

Weighted Average = (x₁ × w₁ + x₂ × w₂ + … + xₙ × wₙ) / (w₁ + w₂ + … + wₙ)

Where:

x₁, x₂, …, xₙ are the numbers in the data set
w₁, w₂, …, wₙ are the corresponding weights

For grades, you can also use an online weighted grade calculator. For general averages, you can use an average calculator.

How to Calculate Weighted Average

Step 1: Determine the weight of each number.
Step 2: Find the sum of all weights.
Step 3: Multiply each number by its weight, sum the products, and divide by the total weight.

Solved Example

Problem: Find the weighted average of class assessments: 60, 60, 70, 70, 70, 80. All assessments have equal weight.

Solution:

Step 1: Sum of weighted scores:

(2 × 60) + (3 × 70) + (1 × 80) = 120 + 210 + 80 = 410

Step 2: Sum of weights:

2 + 3 + 1 = 6

Step 3: Weighted average:

Weighted Average = 410 / 6 ≈ 68.33

How the Weighted Average Calculator Works

Enter each value and its corresponding weight in the input fields.
Add more rows if needed.
Click "Calculate" to view results.

Output:

Weighted average
Sum of weights

FAQ

When should you use a weighted average calculator?

Use it when certain numbers have more importance or frequency than others. Weighted averages are also useful when calculating quantities of mixed items.

How is weighted average GPA calculated?

Multiply each class grade by its credit hours (weight), sum them, and divide by total credits. You can also use an online GPA calculator for convenience.

Is weighted average better than simple average?

Weighted average is more accurate when data points have different importance. Simple average treats all numbers equally, which can be less valid for complex data sets.

Benefits of Using Weighted Average

Reduces manual calculations for inventory and datasets
Faster computation with large data sets
Real-time visibility for changing data
Consistent and accurate results

Conclusion

The weighted average accounts for the relative contribution of items, giving a more accurate representation of a dataset than a simple average. Using a weighted average calculator is a convenient way to find averages for large or complex data sets.

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