Asked by math seeker
on 20 Aug 2019

I have a data set of around 200000 lines. The data has 2 columns say x and y. I am giving a simplified example of the same below. X = [1, 5, 7, 12, 18, 25] Y= [20, 25, 32, 28, 27, 31]

This means for x values 1 to 4 y value is 20. For x =5 and 6 y = 25. For x=7 to 11 y =25 like that. Now I want to calcate average of subsets of x with 5 numbers. For example average of y of x values 1:5, then 6:10, 11:15 etc. For example, I expect average of 6:10 subset as [25*1(y value of x=6) + 32*4(y value of 7,8,9,10)] ÷ 5. What is the simplest way for doing this in matlab. I am a beginner in matlab programming.

Answer by the cyclist
on 20 Aug 2019

Edited by the cyclist
on 20 Aug 2019

Accepted Answer

Your example of averaging the values from 6:10 would be

mean(interp1(X,Y,6:10,"previous"))

Change where I put 6:10 to be the actual range you want.

The documentation for interp1 will explain the "previous" method of interpolation, which is crucial to how this works.

You can do multiple sets of 5 at once, like this:

mean(interp1(X,Y,[1:5; 6:10]',"previous"))

The first number is the average of the first 5 elements, and the second one is the next 5.

It's easy to generalize this even further.

math seeker
on 21 Aug 2019

Thank you very much for such a simple answer

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Answer by MARTIN FABRET
on 20 Aug 2019

function m = Meanfcn(X,Y,start,last)

firstIndex = 1;

while start < X(firstIndex)

firstIndex = firstIndex + 1;

end

l = last-start;

s = 0;

for i=0:1:l

if start+i>=X(firstIndex) && start+i<X(firstIndex+1)

s=s+Y(firstIndex);

else

firstIndex = firstIndex+1;

s=s+Y(firstIndex);

end

end

m = s/(l+1);

end

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