Question: What is a standard error of a sample?
a) A standard error is the possible error of a sample drawn from the population under standardized procedures.
d) Imagine that infinitely many samples of the same sample size are drawn from the population. The standard deviation of the means of these samples is the standard error.
Standard error (SE) is a measure of spread. It indicates how far sample statistic like the sample mean (or sample proportion) deviates from the actual population mean (or population proportion).
Larger the sample size, smaller is the Standard Error. In other words, larger the sample size, closer is the sample mean to the actual population mean.
Formula:
where, represents the S.E of the mean which is also the Standard deviation of the sample data of the mean.
represents the sample size.
represents the population standard deviation.
From, the above formula, we can see that SE is inversely proportional to the square root of Sample size (n).
It measures the accuracy with which a sample distribution represents a population by using standard deviation.
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