Both Standard Error and Standard Deviation are functions of Mean. However, Which of them is more related to the mean of a population and which is better to be presented alongside with the mean in a scientific and social research reports?
It is more common to report the standard deviation, because anyone who wants the standard error can combine the SD with the N to get the SE.
I present the mean and the standard deviation of the mean (sdom) (i.e. sd/sqrt(n)) representing an estimate of the standard deviation of the mean (i.e. the precision of the mean). While sd represents the spread of samples (required when you present the samples of material used) the sdom is pertinent to results you obtained from experiments and it represents (in some manner, i.e. x1.96) the confidence interval (usually at alpha=5%, i.e. p-value
The SD is just a descriptive statistic. The SE (SE=SD/sqrt(n)) is more used, but this practice is not correct because the confidence interval (CI), that is most related to the p-value, should be used, mainly when we are making comparisons.
Regards!
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