Weighted Average Calculator

Weighted Average is evaluated from Value 1, Weight 1 and Value 2. The calculation reports Weighted Average, Total Weight and Simple Average.

Results

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About the Weighted Average Calculator

Weighted Average is treated here as a quantitative relation between Value 1, Weight 1, Value 2 and Weight 2 and Weighted Average, Total Weight and Simple Average.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
Weighted Average = (v1 x w1 + v2 x w2 +... + vn x wn) / (w1 + w2 +... + wn)

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

Weighted Average = (v1 x w1 + v2 x w2 +... + vn x wn) / (w1 + w2 +... + wn)

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: College GPA — Semester Grades

Inputs

v1: 3.7 w1: 4 v2: 3.3 w2: 3 v3: 4 w3: 3 v4: 2.7 w4: 2
Weighted Average: 3.5083. Total Weight: 12. Simple Average: 3.425

With Value 1 = 3.7, Weight 1 = 4, Value 2 = 3.3 and Weight 2 = 3 as the stated inputs, the result is Weighted Average = 3.5083, Total Weight = 12 and Simple Average = 3.425. Each value corresponds to the declared output fields.

Example 2: Investment Portfolio Return

Inputs

v1: 12.5 w1: 50000 v2: 7.2 w2: 30000 v3: -3.1 w3: 20000
Weighted Average: 7.79. Total Weight: 100,000. Simple Average: 5.5333

With Value 1 = 12.5, Weight 1 = 50,000, Value 2 = 7.2 and Weight 2 = 30,000 as the stated inputs, the result is Weighted Average = 7.79, Total Weight = 100,000 and Simple Average = 5.5333. Each value corresponds to the declared output fields.

Example 3: Weighted Exam Score

Inputs

v1: 88 w1: 20 v2: 75 w2: 20 v3: 91 w3: 20 v4: 82 w4: 40
Weighted Average: 83.6. Total Weight: 100. Simple Average: 84

With Value 1 = 88, Weight 1 = 20, Value 2 = 75 and Weight 2 = 20 as the stated inputs, the result is Weighted Average = 83.6, Total Weight = 100 and Simple Average = 84. Each value corresponds to the declared output fields.

Example 4: Weighted Average Cost of Inventory

Inputs

v1: 10.5 w1: 200 v2: 11.25 w2: 300 v3: 10.8 w3: 150
Weighted Average: 10.9154. Total Weight: 650. Simple Average: 10.85

With Value 1 = 10.5, Weight 1 = 200, Value 2 = 11.25 and Weight 2 = 300 as the stated inputs, the result is Weighted Average = 10.9154, Total Weight = 650 and Simple Average = 10.85. Each value corresponds to the declared output fields.

Common Use Cases

  • Calculate GPA from course grades and credit hours
  • Compute weighted average cost of inventory
  • Find weighted average interest rate on multiple loans
  • Determine average test score with different point values