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
-
Weighted arithmetic mean — Wikipedia contributors
Similar or alternative tools
- Golden Ratio Calculator
Split a total length into two parts whose ratio is the golden ratio φ.
- Silver Ratio Calculator
Split a total length into two parts whose ratio is the silver ratio δ = 1 + √2.
- Linear Blend Calculator
Blend two numbers linearly with an interpolation factor t, where zero returns a and one returns b.