Calculating and add the std error bar from the mean values

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Hi everyone
I have data vector (named: Mean_data) representing the mean of 6 different treatments. I already plotted this Mean_data as a bar graph, but I would like to add the std error bar on the top of each bar. My question is, how can I calculate the std error bar from the mean that I have already got and plot it on the top of each bar.
here is my code and data.
Mean_data=[20.43 8.61 15.37 2.70 29.09 31.59];
% Create figure
figure('Color',[1 1 1]);
% Create axes
axes1 = axes;
hold(axes1,'on');
% Create bar
bar(Mean_data,'DisplayName','Photosynthesis','FaceColor',[0 0 1],...
'BarWidth',0.4);
% Create ylabel
ylabel('µmol m⁻² s⁻¹','FontSize',15);
% Create title
title({'Average of response to each treatment'});
hold(axes1,'off');
% Set the remaining axes properties
set(axes1,'FontSize',12,'FontWeight','bold','XColor',[0 0 0],'XGrid','on',...
'XTick',[1 2 3 4 5 6],'XTickLabel',...
{'treatment1','treatment2','treatment3','treatment4','treatment5','treatment6'},...
'YColor',[0 0 0],'YGrid','on','ZColor',[0 0 0]);
Thanks in advance

采纳的回答

Scott MacKenzie
Scott MacKenzie 2022-4-28
编辑:Scott MacKenzie 2022-4-28
You can't calculate the standard error from the means. You need the raw data. If the raw data (used to calculate the means) are in a matrix M, then the standard error vector is
se = std(M) / sqrt(size(M,1));

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