# Geometric mean

From AMS Glossary

## geometric mean

For

*n*positive numbers, the positive*n*th root of their product; that is, for the set of positive numbers*x*_{1},*x*_{2}, . . .,*x*_{n}, the geometric mean is the quantity (*x*_{1}*x*_{2}· · ·*x*_{n})^{1/n}.