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In general, the probability distribution of a sample statistic is called its sampling distribution.

The value of the sample mean for any one sample will depend on the elements that included in that sample. Consequently the sample mean x?, is a random variable. Therefore, like other random variables, the sample mean possesses a probability distribution, which is more commonly called the sampling distribution of x?.

Other sample statistics, such as median, mode, and standard deviation, also possess sampling distribution.

Standard deviation of the sampling distribution=σ/√n.

1) 16

2) 1000

µ= 1020 and σ=153

1) Mean of the sampling distribution=µ= 1020

Standard deviation of the sampling distribution=σ/√n.

=153/√16

=153/4

=38.25

2) Similarly when n= 1000 then

Mean of the sampling distribution=µ= 1020

Standard deviation of the sampling distribution=σ/√n.

=153/√1000

=4.838