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It is said that the sample mean is an unbiased estimator of the population mean when a technique like simple random sampling is used to gather a sample.
Why does the sample mean's average match the mean exactly?
Even while each sample can provide you with a result that has some mistake, the predicted number is exactly what you were looking for: the population mean. In other words, if the experiment is repeated repeatedly.
What impact does sample size have on the sample mean's distribution?
No matter how the population is distributed, when the sample size is raised, the sample mean's distribution takes on an increasingly bell-shaped form and is centered around the population mean.
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