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...Distribution Why is the normal distribution so important, particularly with respect to problems dealing with statistical inference? The reason why normal distribution is so important is because of the Central Limit Theorem. This theorem states that as long as there are a significantly large number of variables involved in the sampling process, then the average, or mean, will approximately located at the center of the curve. This is important when interpreting data because the best results can be attained through a sampling process that has very few outliers. Ideally, the number of participants, or variables, in a study should be totally random in order to attain validity. If a study has... Normal...