MihsabaWeighted Average Calculator

Weighted Average Calculator

Calculate a weighted average from values and weights, with total weight, weighted sum, simple mean and an optional next value needed to hit a target.

How to use

A weighted average lets each value contribute according to its weight instead of treating every observation equally. Enter matching lists of values and weights to get the weighted mean, weighted sum, total weight and simple mean, plus an optional next value needed to reach a target average.

  1. Enter the values, then enter the same number of weights in matching order.
  2. Weights may be percentages such as 20,30,50 or proportional coefficients such as 2,3,5; they must be non-negative with a positive total.
  3. Optionally enter a target average and the next item’s weight to solve the required next value.

How it is calculated

Weighted average = Σ(value × weight) ÷ Σweights

Example

For values 85, 92 and 78 with weights 20, 30 and 50, the weighted sum is 8360 and total weight is 100, so the weighted average is 83.6. The simple average is 85, showing the effect of the weights.

Important notes

Weights are normalized automatically, so 20/30/50 gives the same result as 2/3/5. The calculator does not assume a grading scale or pass threshold. If a required next value lies outside your real allowed range, the target is not achievable with that one item under that range.

Frequently asked questions

Do weights have to add to 100?

No. The formula divides by the actual total weight, so any proportional non-negative weights work.

Can a weight be zero?

Yes. A zero-weight value contributes nothing, but the total weight across all entries must be positive.

How is the next value for a target calculated?

The calculator solves target = (current weighted sum + next value×next weight) ÷ (current total weight + next weight).

Is this calculator free?

Yes. It is free to use and requires no account.