mad

Syntax

mad(X, [useMedian=false])

Arguments

X is a vector, matrix or table.

useMedian is a Boolean value indicating whether the result is generated with the median absolute deviation or the mean absolute deviation. The default value is false and it returns the mean absolute deviation.

  • Mean Absolute Deviation: mean(abs(X - mean(X)))

  • Median Absolute Deviation: med(abs(X - med(X)))

Details

If X is a vector, return the average absolute deviation of X.

If X is a matrix, the calculation is based on each column and returns a matrix.

If X is a table, the calculation is based on each column and returns a table.

As with all aggregate functions, NULL values are not included in the calculation.

Examples

mad([85, 90, 95, NULL]);
// output
3.333333333333333

m=matrix(85 90 95, 185 190 195);
m;
#0 #1
85 185
90 190
95 195 
mad m;
// output
[3.333333333333333, 3.333333333333333]

mad([0, 19.618568, 67.900707, 71.65218, 73.103952, 58.275308, 18.819054, 36.940571, 48.114366], false)
// output
22.204817

Related function: mmad