Can Arithmetic Mean Be Negative?

The arithmetic mean is appropriate when all values in the data sample have the same units of measure, e.g. all numbers are heights, or dollars, or miles, etc. When calculating the arithmetic mean, the values can be positive, negative, or zero.

Is arithmetic mean always positive?

Arithmetic mean is not always positive. Arithmetic mean can be negative and zero too.

Can a geometric mean be negative?

Like zero, it is impossible to calculate Geometric Mean with negative numbers. However, there are several work-arounds for this problem, all of which require that the negative values be converted or transformed to a meaningful positive equivalent value.