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The representative part of Population is called Sample.
http://www.ma.utexas.edu/users/parker/sampling/repl.htm
Sampling error occurs when the sampling protocol does not produce a representative sample. It may be that the sampling technique over represented a certain portion of the population, causing sample bias in the final study population.
In probability sampling,every item in the population has a known chance of being selected as a member.In non-probability sampling, the probability that any item in the population will be selected for a sample cannot be determined.
Sampling makes it possible to make assumptions about the larger population based on a small sample. This is beneficial in the study of population and demographics.