sort boxplot based on 25-75th percentiles

Find the percentiles on the data, using the prctile command, before plotting them with boxplot
Sort those percentiles, and store the sorting order
Use a grouping variable (the second argument to the boxplot command), making sure that the grouping variable values are sorted according to the correct order

I could probably give more specific advice if you upload the data and code that you are using now.

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the cyclist 2020-6-28

编辑：the cyclist 2020-6-28

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I think this does what you want. You want the colors of the box plots to be retained from the original, unsorted boxplot, right?

A=[rand(50,1) 2*rand(50,1) 3.5 *rand(50,1) 1.8*rand(50,1) 0.7*rand(50,1) 0.5*rand(50,1) 4*rand(50,1) 3.1*rand(50,1) 7*rand(50,1)]; %Random matrix
p25 = prctile(A,25);
p75 = prctile(A,75);
[~,sortingOrder] = sort(p75-p25);
[~,unsortingOrder] = sort(sortingOrder);
sortedA = A(:,sortingOrder);
figure
g=boxplot(sortedA);
set(g(5,unsortingOrder(1:3)), 'Color', 'r');
set(g(5,unsortingOrder(4:6)), 'Color', 'b');
set(g(5,unsortingOrder(7:9)), 'Color', 'g');