The Mean(A) command returns the mean of the array A, defined as the value of the expression

where $N$ is the number of elements of A.

The StandardDeviation(B) command returns the standard deviation of the Array B, defined as the value of the expression

where $N$ is the number of elements of B, and $\mathrm{\mu }$ is the mean of B.

The MeanStandardDeviation(B) command computes the mean and standard deviation of B simultaneously, and returns an expression sequence consisting of these values, respectively.

For all of these commands, Maple may convert the input signal. Before the code performing Mean runs, Maple converts A to a hardware datatype, first attempting float[8] and subsequently complex[8], unless it already has one of these datatypes. Similarly, before the code performing StandardDeviation or MeanStandardDeviation runs, B is converted to datatype float[8] if it does not have that datatype already. For this reason, it is most efficient if the input Array has an appropriate datatype already.

The SignalProcessing[Mean], SignalProcessing[StandardDeviation] and SignalProcessing[MeanStandardDeviation] commands are thread-safe as of Maple 17.

For more information on thread safety, see index/threadsafe.

$\mathrm{with}\left(\mathrm{SignalProcessing}\right)\:$

$a≔\mathrm{Array}\left(\left[1\,2\,3\,4\,5\right]\,\'\mathrm{datatype}\'\={\'\mathrm{float}\'}_8\right)\:$

$\mathrm{Mean}\left(a\right)$

$3.$

$\mathrm{StandardDeviation}\left(a\right)$

$1.58113883008418976$

$\mathrm{MeanStandardDeviation}\left(a\right)$

$3.,1.58113883008418976$

The SignalProcessing[Mean], SignalProcessing[StandardDeviation] and SignalProcessing[MeanStandardDeviation] commands were introduced in Maple 17.

For more information on Maple 17 changes, see Updates in Maple 17.