Math calculator

Average Calculator

Paste numbers separated by spaces, commas, tabs or lines to calculate mean, median, mode, sum, standard deviation, range and weighted average.

Dataset

Enter data numbers

mean = sum / count

Enter at least one number.

Count0
Sum0
Median-
Mode-
Population SD-
Sample SD-
Minimum-
Maximum-
Range-
Geometric mean-
Root mean square-
Sorted values-

Average calculation steps

Enter numbers to see each calculation step.

Values graph

Distribution graph

Weighted average calculator

Enter one value and one weight per line.

Weighted average78.3333470 / 6

Average formulas

StatisticFormulaMeaning
Average (mean)sum / countAdd all values and divide by count.
Medianmiddle sorted valueSort and take the middle value.
Modemost frequent valueValue or values appearing most often.
Population SD√(Σ(x-mean)² / n)Spread of the complete population.
Sample SD√(Σ(x-mean)² / (n-1))Estimated spread from a sample.
Weighted averageΣ(value × weight) / Σ(weight)Some values contribute more than others.

Average calculator FAQ

Which separators can I use?

Spaces, commas, semicolons, tabs and line breaks.

Why do sample and population SD differ?

Sample SD divides by n-1; population SD divides by n.

Can geometric mean use negative numbers?

No. It is shown only when every value is positive.

What is weighted average?

An average where each value has an assigned importance weight.