Mean

Global Algorithm - One-Dimensional Algorithm

Mean algorithm takes the average of the available values. The basic formula is stated as follows:

$$\mu = \frac{\sum_{i=1}^{N} Y_i}{N}$$

where $Y_i$ denotes the $i$th value in the data set, $N$ is the length of the data vector and $\mu$ is the computed mean value.

Input Parameters

Parameter	Type	Constraint	Description	Remarks
$Y$	$Y \in \mathbb R^N$	$N \in \mathbb{N}$	Input data vector of length $N$

Output Parameters

Parameter	Type	Constraint	Description	Remarks
$\mu$	$\mu \in \mathbb R$		Mean value of data values available in $Y$	The result is sensitive to improper values such as ‘nan’, ‘inf’, ‘null, ‘etc.

Tool Support

• Excel

  For details refer to the online documentation of the function ‘AVERAGE’.

• Maple

  For details refer to the online documentation of the function ‘MEAN’.

• Matlab

  For details refer to the online documentation of the function ‘mean’.

Single Steps using the Algorithm

• Computing Mean Value with Mean Algorithm
• Reconstructing Improper Values with Local Centered Moving Average
• Resolving Data Value Conflict with Mean