Alternatives such as average absolute deviation and semivariance have been advanced for measuring financial risk.

So the median absolute deviation for this data is 1.

The median absolute deviation is a measure of statistical dispersion.

In other words, for a normal distribution, mean absolute deviation is about 0.8 times the standard deviation.

The median is the measure of central tendency most associated with the absolute deviation.

In the dice example the standard deviation is 2.9 1.7, slightly larger than the expected absolute deviation of 1.5.

The following is an enumeration of some least absolute deviations solving methods.

Simplex-based methods are the "preferred" way to solve the least absolute deviations problem.

It is algebraically simpler though practically less robust than the average absolute deviation.

The authors found an average absolute deviation of 10.6% against their database of experimental data.