There is no such thing. The standard error can be calculated for a sample of any size greater than 1.
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When the sample size is small
2
The standard deviation would generally decrease because the large the sample size is, the more we know about the population, so we can be more exact in our measurements.
In general the mean of a truly random sample is not dependent on the size of a sample. By inference, then, so is the variance and the standard deviation.
The standard deviation of the population. the standard deviation of the population.