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In order to calculate measures such as mean, standard deviation, skewness, and kurtosis, various statistical theories can be applied. One common approach is to use the sample mean and sample standard deviation to estimate the population mean and population standard deviation. Additionally, a variety of methods can be used to measure the skewness and kurtosis of a distribution, such as the Pearson skewness coefficient and the Fisher kurtosis coefficient. By utilizing these statistical theories and methods, we can gain a deeper understanding of the characteristics of a dataset and draw more accurate conclusions from our analysis.