I have monthly sea surface temperature data set for 1 year.
I need to present seasonal average as bar chart and error bar to show deviation in each season.
season 1 = nov+dec+jan+feb/4
season 2 = mar+apr+may+jun/4
season 3 = jul+aug+sep+oct/4
Now I have seasonal average.I should show the error bar.
To show the error bar, can I use standard error?
or should I use standard deviation?
Standard error looks good when add to the bar chart (error bar is smaller than the mean).
But the error bar of standard deviation is longer than the mean, when deviation is higher.
Which one is correct method?