Measures of CenterA. BourhimSyracuse UniversityMAT121-Fall 2011A. Bourhim (Syracuse University)Measures of CenterMAT121-Fall 20111 / 10
IntroductionMean, median, mode, midrange, standard deviation and variance are some ofthe tools for analyzing data. It is not only about determine the value of each ofthese but it is also important to interpret these values.DefinitionAmeasure of centeris a value at the center or middle of a data set.There are several of these but, in this section, we will only covermean,median,modeandmidrange.Themean(orthe arithmetic meanoraverage) of a set of values (apopulation or a sample) is the measure of center obtained by adding thevalues and dividing the total by the number of values.A. Bourhim (Syracuse University)Measures of CenterMAT121-Fall 20112 / 10
DefinitionThepopulation meanis the mean of the whole population, and isμ(pronouncedmu)=∑xN=sum of all data values of the populationpopulation size,where∑(pronouncedsigma) denotes the sum.xis the variable to represent the data values.