# how to describe a sampling distribution?Also,What parameters are required to express this distribution? Thanks!

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Generally, we describe many things on a normal distribution. You have seen this before. It looks like a bell, because most of the average numbers are in the middle, and there are a few on either side that are higher or lower.

Can you give us more information? Generally, you would want to describe it by giving a mean and/or a median. You would also want to give the standarad deviation so that we would know how tightly the data is clustered around the mean. Is that what you need?

The mean, variance, and standard error of the distribution are generally used to describe a sampling distribution. See http://en.wikipedia.org/wiki/Sampling_distribution for the following examples of descriptions and more information on describing sampling distributions:

PopulationStatisticSampling distribution Normal: Sample mean from samples of size*n*Bernoulli: Sample proportion of "successful trials" Two independent normal populations:

and

Difference between sample means, Any absolutely continuous distribution*F*with density

*ƒ*Median from a sample of size

*n*= 2

*k*− 1, where sample is ordered to Any distribution with distribution function

*F*Maximum from a random sample of size

*n*