Average of N number of matrix

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I am looking for a new operation to find average of matricies which I will use instead of others

Let me give an example:

There are A, B, C matricies. I am going to find an average matrix of them.

The first I have used mean:

average=(A+B+C)/3

The second is median:

average=median(A,B,C) % I have used Matlab function to find it

What kind of another calculation I can use to compute the average matrix of A,B,C?

Edit 1: The main task is to find a way how to simplify computation. I have more than 3 matrices, about 1000. I can group some of them, according to a theory I used they are similar. If they are similar, I can average them, find one that I will use instead of them. Actually I don't know what kind of average instead of mean and median I can use to do it. Can I use "mode" for matrices?

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As pointed out by Arthur, the method you should use depends on your use case. Just to give you ideas of possible averages try these: https://en.m.wikipedia.org/wiki/Average Of course those are not for matrices, but you can use them on all entries separately.