Statistical Parameter and Function

Statistical functions are mathematically described in terms of statistical parameters. The following statistical parameters are the most commonly used parameters in statistical analysis population, sample, variate, variance, standard deviation, mean, median, and skewness. 

The median is a statistical parameter representing the middle of a distribution half the variate values are above the median and half are below the median. The median is less sensitive to extreme variate values than the mean, and therefore a better measure than the mean for highly skewed distributions. The median score of a test is usually more representative than the mean score of the class of how well the average students did on the test. The set of numbers 1, 2, 3, 7, 8, 9, and 12 have a mean of 6 and a median of 7. The mode is the statistical parameter that represents the most frequently occurring variate value in a distribution and is used as a measure of central tendency. 

Several different terms are used for the same statistical functions by different statisticians and in different books. The cumulative distribution function, D(x) or F(x), is also referred to as the distribution function, the cumulative 

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