How to separate a vector into bins and average each bin

Question

Holmbrero 2022-8-1

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评论： Holmbrero 2022-8-1

I have a vector A (exemplified below) which contains the size of pores and i want to create a vector which bins the data in A and creates a new vector containing the number of pores within a bin size multiplied by the size of these pores (for example by taking the average out of the values within each bin)

Example:

A = [1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 7 8 9 10]

Lets say that i want the bin size to be 2, then i want something like:

B = [12 32 22 29 19]

Any suggestions would be greatly appriciated.

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Answer 1

Cris LaPierre 2022-8-1

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I don't exactly follow how you get from A to B, and I'm fairly certain there isn't a single function that will get you what you want. Here's one possible solution based on what I understood.

A = [1 1 1 1 1 1 2 2 2 3 3 3 3 4 4 4 4 4 5 5 6 6 7 7 7 8 9 10];
% Use discretize to split the data into bins with width of 2
b = discretize(A,1:2:11)
b = 1×28
     1     1     1     1     1     1     1     1     1     2     2     2     2     2     2     2     2     2     3     3     3     3     4     4     4     4     5     5
% Use splitapply to calculate the mean of each bin
mn = splitapply(@mean,A,b)
mn = 1×5
    1.3333    3.5556    5.5000    7.2500    9.5000
% use splitapply to count the number of points in each bin
cnt = splitapply(@numel,A,b)
cnt = 1×5
     9     9     4     4     2
% multiply the mean and the count to get B
B = mn.*cnt
B = 1×5
    12    32    22    29    19