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**Unformatted text preview: **Measures of Center A. Bourhim Syracuse University MAT121-Fall 2011 A. Bourhim (Syracuse University) Measures of Center MAT121-Fall 2011 1 / 10 Introduction Mean, median, mode, midrange, standard deviation and variance are some of the tools for analyzing data. It is not only about determine the value of each of these but it is also important to interpret these values. Definition A measure of center is a value at the center or middle of a data set. There are several of these but, in this section, we will only cover mean , median , mode and midrange . The mean (or the arithmetic mean or average ) of a set of values (a population or a sample) is the measure of center obtained by adding the values and dividing the total by the number of values. A. Bourhim (Syracuse University) Measures of Center MAT121-Fall 2011 2 / 10 Definition The population mean is the mean of the whole population, and is ( pronounced mu ) = x N = sum of all data values of the population population size , where (pronounced sigma ) denotes the sum. x is the variable to represent the data values....

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