# average

'Average' is a vague term that usually refers to the arithmetic
mean but can also signify the median, mode, geometric
mean, or weighted mean. The word stems from a commercial practice of
the shipping age. The root *aver* means to declare, and the shippers
of goods would declare the value of their goods. When the goods were sold,
a deduction was made from each persons share, based on their declared value,
for a portion of the loss or "average."

## Average of a function

The average value A of a function between *x = a* and *x = b* is defined as the area under the curve of the function (see calculus)
divided by (*b - a*):

## Root-mean-square (RMS)

The RMS is the value obtained by taking the mean of a set of squared values. It provides the value of a periodic quantity and was developed at the beginning of the twentieth century as an accurate measure of voltage and electric current. An RMS error of approximity is also used for equations devised to predict outcomes, such as weather forecasts.