Weighted Sum Calculator

Compute the sum of products of weights and values from two parallel lists.

Description

Compute the sum of products of weights and values from two parallel lists.

Compute the sum of products of weights and values from two parallel lists.

When to use Weighted Sum Calculator

Use this calculator to verify a hand calculation, normalize a value before another tool, or make the exact arithmetic convention explicit in a reproducible workflow.

Values
Value list.
Weights
Corresponding weight list.

How the calculation works

The formula below determines the tool output. Weighted sum: The calculated weighted sum.1

weighted sum = Σ(wᵢ × xᵢ)

Limitations and assumptions

Calculations use JavaScript number arithmetic. Binary floating-point representation can make some decimal results inexact, and values outside the supported numeric range can overflow or lose precision. Round only for presentation unless the selected rounding tool is itself the intended operation.

Alternative or Complementary approaches

Use the inverse operation to check a result when one exists: addition pairs with subtraction, multiplication with division, and powers with roots. For rounding or normalization tools, retain the unmodified value when later calculations still require full precision.

References

  1. Weighted arithmetic mean — Wikipedia contributors

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