Chapter3 - Measures of Center A Bourhim Syracuse University MAT121 Spring 2015 A Bourhim(Syracuse University Measures of Center MAT121 Spring 2015 1\/1

# Chapter3 - Measures of Center A Bourhim Syracuse University...

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Measures of Center A. Bourhim Syracuse University MAT121, Spring 2015 A. Bourhim (Syracuse University) Measures of Center MAT121, Spring 2015 1 / 1
Other details, examples and thesolution of the examples will bepresented in the class. Yourattendance is therefore required. A. Bourhim (Syracuse University)Measures of CenterMAT121, Spring 2015 2 / 1
Median, mode, midrange, Mean, standard deviation and variance are some ofthe tools for analyzing data.DefinitionMedian, denoted byex(pronouncedx-tilde), is the middle value when theoriginal data values are arranged in an increasing order. It is either avalue or the average of two values from the given list.Modeis the value that occurs with the greatest frequency. A data set canhave one, more than one, or no mode.MidrangeisMidrange=maximum value + minimum value 2.ExampleFind the median, mode and midrange of each of the following lists:3,1,4,7,6,8,1.2,7,4,8,1,2,7,2. 3 / 1
Remark Mode is the only measure of center that can be used with nominal data. Example Suppose 100 people are asked for their favorite color. Color Frequency Blue 20 Red 35 White 15 Yellow 30 A. Bourhim (Syracuse University) Measures of Center MAT121, Spring 2015 4 / 1
Definition The population mean is μ = x N = sum of all data values of the population population size , where μ is pronounced mu . is pronounced sigma and denotes the sum. x represents the data values. N is the size of the population. Note that μ is a parameter. A. Bourhim (Syracuse University) Measures of Center MAT121, Spring 2015 5 / 1