How to calculate the area average of data

Hi

The attached data point has three colums such as x (mm), y (mm) and vorticity (1/s). I have used griddata to visualise the spatial distribution of vorticity value. But I want to caluculate the area average value of the vorticity.

The physical dimesion of the field of view is 37 mm x 27 mm. If you need more information pls feel free to ask me.

Much appriciated your help. Thanks

Regards

Mohammad

[dpb]

Define what you mean by "area average"

[Mainul Hoque]

@dpb if you see the contour you see the x is vary upto 37 mm and y vary up to 27 mm. The formula of the area average is = intregation (vorticity*dA)/A. Here A is the total area and dA is the area of the each cell which is x(2,1)-x(1,1) = 0.3119mm. Thanks

Answer 1

[Bruno Luong]

"The formula of the area average is = intregation (vorticity*dA)/A"

Then the result is simply

>> mean(vor2d,'all','omitnan')

ans =

    8.4914

Your data before interpolation is also on grid, just different grid. So this can also give the result (no need to bother with interpolation)

>> mean(vor)

ans =

    8.4891