standard deviation in errorbar

[a very silly question!] How to calculate the errorbar with 2 standard deviations in this example?
x=1:10;
y=rand(10,50);
errorbar(x, mean(y,2), std(y,[],2)) % 1 standard deviation
Just multiplying std by 2 in the errorbar, right?
errorbar(x, mean(y,2), 2 * std(y,[],2))

 Accepted Answer

Not silly at all, however it may not produce the result you want.
It might be more appropriate to calculate the errors as the standard error of the mean (S.E.M.) :
err = 2*(std(y,[],2)/sqrt(size(y,2))); % 2 x Standard Error Of The Mean
then:
figure
errorbar(x, mean(y,2), err) % 2 standard errors of the mean
rather than the standard deviation of the observations themselves.

4 Comments

Sim
Sim on 3 Mar 2021
Edited: Sim on 3 Mar 2021
Thanks a lot @Star Strider, very kind!
@Rik: many thanks for your reply too, even though I cannot see it anymore!
P.S.: I would have accepted both answers!
As always, my pleasure!
You're welcome.
(I deleted my answer as it overlapped with this answer too much, and this one was better)
@Rik I very much appreciate your compliment!

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Asked:

Sim
on 3 Mar 2021

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on 3 Mar 2021

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