Measures of Central Tendency & Dispersion Chapter Goals After completing this chapter, you should If you continue browsing the site, you agree to the use of cookies on this website. There are three main measures of variation, the range, the variance and the standard deviation. Slide 1 22 22. STANDARD DEVIATION Measure of spread around the mean Commonly used in statistical investigations Takes all data values into account Can be calculated using a table or your calculator … Understanding Standard Deviation 11 Measures of Dispersion The Range of a set of data is the largest measurement minus the smallest measurement. Measures of dispersion include range, interquartile range, variance, standard deviation and absolute deviation. o Population variance. UNIT III -Measures of Dispersion - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. You can change your ad preferences anytime. RANGE (R)  It is the simplest measures of dispersion  It is defined as the difference between the largest and smallest values in the series R = L – S R = Range, L = Largest Value, S = Smallest Value  Coefficient of Range = − + BirinderSingh,AssistantProfessor,PCTE 8. The dispersion or scatter in a data is measured on the basis of the observations and the types of the measure of central tendency, used there. 10 Measures of Variability. The variati… Quantitative Aptitude & Business Statistics: Measures of Dispersion 8 A small value for a measure of dispersion indicates that the data are clustered closely (the mean is therefore representative of the data). Boddington. Measures of dispersion - Measures of dispersion Standard deviation (from the mean) ready Measures of dispersion Standard deviation (from the mean) ready Mean = 2 + 3 + 7 3 = 4 Data: 2; 3; 7 0 ... | PowerPoint PPT presentation | free to view. Dispersion is contrasted with location or central tendency, and together they are the most used properties of distributions. Presentation Summary : Statistics presents a rigorous scientific method for gaining insight into data. In the Measure phase of the DMAIC process in Six Sigma, there are many types of statistical parameters that graduates of Lean Six Sigma Green Belt training or other Online Six Sigma courses should know. o Understand the difference between measures of dispersion for populations and for samples. Basics Of Statistics PPT. 1 ii] Facilitates comparison. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. déviation, It gives us an idea about the extent to which individual items vary from one another and from the central value. Average: It is a value which is typical or representative of a set of data. Clipping is a handy way to collect important slides you want to go back to later. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. If you continue browsing the site, you agree to the use of cookies on this website. Just as the arithmetic mean is the most of all the averages, the standard deviation is the best of all measures of dispersion. … The standard deviation is the most useful and the most popular measure of dispersion. Measures of Dispersion There are three main measures of dispersion: The range The semi-interquartile range (SIR) Variance / standard deviation The Range The range is defined as the difference between the largest score in the set of data and the smallest score in the set of data, XL - XS What is the range of the following data: 4 8 1 6 6 2 9 3 6 9 The largest score (XL) is 9; the smallest score (XS) is 1; the range is … Probability and probability distributions (a table or an equation that links each outcome of a statistical experiment with its probability of occurrence) The types of absolute measures of dispersion are: Range:It is simply the difference between the maximum value and the minimum value given in a data set. This is where some measure of how dispersed your data is can be helpful. Do you have PowerPoint slides to share? These measures go along with the measures of central tendency and show you the variability of your data. In this article, we will … Title: Measures of Dispersion 1 Measures of Dispersion. You can change your ad preferences anytime. Measures of Dispersion. There are many types of dispersion measures: Range Mean Absolute Deviation Example Calculate the range for the data for Quarterback A and Quarterback B in the example above. range, mean deviation, and; standard deviation. The measure of dispersion shows the homogeneity or the heterogeneity of the distribution of the observations. If so, share your PPT presentation slides … MEASURES OF DISPERSION 6. Measures of Ccentral Tendency and Dispersion PDF Free Download Important Term and Concepts: 1. Objectives . There are following measures of.  Dr Zahid Khan The measure of dispersion indicates the scattering of data. In order to measure this scatter, statistical devices called measures of dispersion are calculated. Clipping is a handy way to collect important slides you want to go back to later. It tells the variation of the data from one another and gives a clear idea about the distribution of the data. Measures of Dispersion. DISPERSION Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Soda Dispensed (ounces) Machine 1 Machine 2 9.52 8.01 6.41 7.99 10.07 7.95 5.85 8.03 8.15 8.02 ഥ = ഥ = Measures of Dispersion-tells us how much the observations spread out from the mean.-the higher the variability, the more dispersed are the observations; the lower it is, the more consistent are the observations.-the range and the standard deviation are statistical values that … https://www.slideshare.net/bijayabnanda/ls-bs-8measures-of-dispersion The PowerPoint PPT presentation: "Measures of Dispersion" is the property of its rightful owner. 95.4 of the scores fall 2 S.D. It includes all the measures of dispersion with detailed methodology along with required practice problems. Bowley-A.L . 2. A measure of statistical dispersion is a nonnegative real number that is zero if all the data are the same and increases as the data become more diverse. Characteristics of a good measure of dispersion An ideal measure of dispersion is expected to possess the following properties 1. Key Terms . Both kinds of measures focus on different essential char-acteristics of distributions. See our Privacy Policy and User Agreement for details. Thus, The measure of dispersion displays and gives us an idea about the variation and central value of an individual item. Find PowerPoint Presentations and Slides using the power of XPowerPoint.com, find free presentations research about Measures Of Dispersion PPT. Statistics may be rightly called the science of average and their estimates.-A.L .  King Faisal University,KSA. o Standard deviation. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. 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