MATLAB by default places categories in alphabetical order. One of the possible approaches to switching the order of the bars is as follows (tested in R2017a):
% Setup data
std =[ 0.4041 0.7670 1.0682 0.6582 0.0475]
lyer = categorical({'crust' 'upper mantle' 'lower mantle' 'outer core' 'inner core'})
figure
bar(lyer,std)
% Reorder the categories in the order you want using reordercats
reorder_lyer = reordercats(lyer,{'crust','lower mantle' ,'upper mantle' ,'inner core' ,'outer core'});
figure
bar(reorder_lyer,std)
Another approach may involve switching the XData, YData or XDataMode.
