\(\renewcommand\AA{\unicode{x212B}}\)

Mean v1

Summary

Calculates the arithemetic mean of the workspaces provided.

See Also

MostLikelyMean, WeightedMean, WeightedMeanOfWorkspace

Properties

Name	Direction	Type	Default	Description
Workspaces	Input	string	Mandatory	Input workspaces. Comma separated workspace names
OutputWorkspace	Output	MatrixWorkspace	Mandatory	Output mean workspace

Description

Calculates the arithmetic mean of the y values of the workspaces provided. If each input workspace is labelled \(w_i\) and there are N workspaces then the mean is computed as:

\[m = \frac{1}{N} \sum_{i=0}^{N-1} w_i\]

where m is the output workspace. The x values are copied from the first input workspace.

Restrictions

All input workspaces must have the same shape and the x axis must be in the same order.

Usage:

Example: Simple mean of two workspaces

# Create two  2-spectrum workspaces with Y values 1->8 & 3->10
dataX = [0,1,2,3,4,
         0,1,2,3,4]
dataY = [1,2,3,4,
         5,6,7,8]
ws_1 = CreateWorkspace(dataX, dataY, NSpec=2)
dataY = [3,4,5,6,
         7,8,9,10]
ws_2 = CreateWorkspace(dataX, dataY, NSpec=2)

result = Mean("ws_1, ws_2") # note the comma-separate strings
print("Mean of y values in first spectrum: {}".format(result.readY(0)))
print("Mean of y values in second spectrum: {}".format(result.readY(1)))

Output:

Mean of y values in first spectrum: [2. 3. 4. 5.]
Mean of y values in second spectrum: [6. 7. 8. 9.]

Categories: AlgorithmIndex | Arithmetic

Source

Python: Mean.py