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Statistics

Comparison against the plain average

The equal-weights case. Comparing it with the weighted result isolates how much the weights actually changed the answer.

The Formula

Plain Average = (v1 + v2 + v3) / n

The equal-weights case. Comparing it with the weighted result isolates how much the weights actually changed the answer.

SymbolMeaning
nNumber of observations

What Each Symbol Means

ncount

Number of observations

Identical in effect to assigning every weight the value one.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate a weighted average page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate A Weighted Average, filed under Math. Every number the guide produces comes from substituting into this one line.