Averages & Means

Weighted Average Calculator

Combine values according to non-negative weights without losing decimal precision.

Averages & Means

Pair each value with a weight

Exact weighted result
Enter one ordinary decimal per line. Commas and scientific notation are not accepted.
Enter one ordinary decimal per line. Commas and scientific notation are not accepted.

Exact weighted average

Enter valid values to see the result.

Your entries are calculated in this browser and are not submitted to 365CALCS.COM.

Quick guide

How to use this calculator

  1. Enter values in the first list and their matching weights in the second.
  2. Keep the same number of non-empty rows in both lists.
  3. Read the exact weighted sum, total weight, and average.

Calculation method

Divide the weighted sum by total weight

Each value is multiplied by its matching weight. Those products are added exactly, then divided by the exact sum of the weights.

Worked example

Two differently weighted scores

A score of 80 with weight 1 and 90 with weight 3 has weighted sum 350 and total weight 4.

(80×1 + 90×3) / (1+3) = 87.5

Supported inputs

Precision and limits

List size

Enter 1–100 values, one per line.

Decimal size

Each value may contain up to 200 digits and 100 decimal places.

Exactness

Exact rational results are never replaced by a rounded decimal; approximations are labelled.

Weights

Weights may be zero but not negative, and their total must be greater than zero.