There are a few reasons why samples are used in statistics. One reason is that the whole population cannot be used and a sample is a good representation of the whole.
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They help to analyse data samples and therefore compare statistics. Normally all three methods are used as they all contain weaknesses. However the mean is usually the normal statistic used after anomalous results have been removed
Yes, statistics are used in financial formulas if they are available. The integrity and accuracy of the statistics determine if they are chosen to be used in the first place.
properties of mode as used in statistics
There are many applications of statistics in education. Statistics are used to better prepare students for the real world and testing for example.