# Mean¶

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