# 3.1 - Measures of Center.pdf - Measures of Center...

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Measures of CenterSection 3.1Objectives:Mean, Median, Mode and Midrange.Def:Ameasure of centeris a value at the center or middle of a data set.Note: We'll look at mean, median and mode as measures of center of our data. Each has their owndefinition.Def:Thearithmetic mean, or mean,of a set of data is the measure of center found by adding the datavalues and dividing the total by the number of data values.The greek letter,µ(mu), represents the population mean.The symbol,𝑥𝑥̅(x-bar), represents the sample mean.Note: Greek letters are used to represent parameters and Roman letters are used to represent statistics.So, if x1, x2, ..., xNare N observations from a population, thenµ=and if x1, x2, ..., xnare n observations from a sample, then𝑥𝑥̅=Ex: 1) Find the mean of the following samples:a) {1,2,3,4,5}b) {1,2,3,4,5,75}Note: Throughout the course, we'll round final answers to one more decimal place than is present in theoriginal data set (So in the examples above, we should round our answers to one decimal place ifnecessary.).

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