Summing/taking weighted average within a range for a table

I am trying to find the sum of a certain column in my table within a certain range. So for example: 1-9, 10-18, 19-37, 38-90, ... 6330 - 6437 (the numbers are indices on the column im trying to use mathematical operations on). I have the starting points (1, 10, 19 ...) in one array and similarly the end points in another array.

How do I go about summing the terms? so summing 1st-9th, 10th-18th..?

Thanks

Answer 1

[Jon]

Let's say you have a table called T, that has a column called x. To find, for example, the sum row 10 through 18 of variable x and store it in a variable called y, you would use

y = sum(T.x(10:18))

If you have a vector of start indices, call it iStart and a vector of end indices call them iEnd you could do something like

iSum = sort([iStart(:);iEnd(:)]); % (:) makes sure the vectors are concatenated as columns
y = sum(T.x(iSum))

or alternatively (maybe more efficient, avoiding the sort) you can interleave the start and stop indices

iSum = zeros(2*length(iStart),1);
iSum(1:2:end) = iStart
iSum(2:2:end) = iEnd
y = sum(T.x(iSum))

[ak]

Hi thanks for the response.

An issue I am having is that I keep getting 1 summation, but I am trying to get a bunch of summations:

Say my table is what I have below, I am trying to get the summation of: 1-3,4-9,10-13,14-21 in 1 array output.

I have start points (1,4,10,14) in 1 array and the end points (3,9,13,21) in another array,

10.00
10.00
9.00
10.00
10.00
10.00
10.00
10.00
9.00
10.00
9.00
10.00
10.00
10.00
10.00
10.00
9.00
10.00
10.00
9.00
10.00

[Jon]

You could easily do it in a little loop like:

% preallocate array to hold results 
results = zeros(size(iStart));
% loop through the ranges computing sums of each range
for k = 1:length(results)
    results(k,1) = sum(T.x(iStart(k):iEnd(k)));
end

It should also be possible to do this using grouping variables, and the "split-apply" work flow see https://www.mathworks.com/help/matlab/matlab_prog/grouping-variables-for-splitting-data.html