There are three main measures of variation, the range, the variance and the standard deviation. • Dispersion means spread or scatteredness of the various observations. The four measure of dispersion are (1) Range (2) Mean deviation (3) Standard deviation (4) Square deviation . In higher classes teachers generally prefer teaching students with the help of ppts. 2)To make a … View Measures of Dispersion 2.pptx from STATISTICS 431 at Iqra University, Karachi. Central TendencyVariability Statistics - Measures of central tendency and dispersion Class 2 Session 2 OscarBARRERA oscardavid.barrerarodriguez@sciencespo.fr How dispersions are measured? Consider the following two sets of data which have the same mean, 25, and the same range, 10, but obvious di erences in the pattern of variability: 2 021 23 4 526 7 8 93 x x x x xx x x x x x x x 20 21 3 4 526 xx x x x x x x Da taSet1 DaSe2 If you continue browsing the site, you agree to the use of cookies on this website. A single value which measure that how the individual observations of a data set are … Relative dispersion No unit. See our User Agreement and Privacy Policy. 100% 100% found this document useful, Mark this document as useful. Mpc 006 - 02-03 partial and multiple correlation, Partial and multiple correlation and regression, Brm (one tailed and two tailed hypothesis), No public clipboards found for this slide. Jan 06, 2021 - PPT - Measure of Dispersion CA Foundation Notes | EduRev is made by best teachers of CA Foundation. For ungrouped data, the range is the difference between the highest and lowest values in a set of data. Descriptive summary measure Helps characterize data Variation of observations Determine degree of dispersion of observations about the center of the distribution. Related titles. More details. It is often used as a measure of risk. Its purpose is to locate They’re good for figuring out how the different variables operate in a specific sample or group of people. Range is widely used in statistical series relating to quality control in production. 4.1 Introduction. A large measure of dispersion indicates that the mean is not reliable (it is not representative of the data). Measures of Dispersion Variance and Standard Deviation Basic Assumptions about Distributions We should be able to plot the number of times a specific value occurs on ... – A free PowerPoint PPT presentation (displayed as a Flash slide show) on PowerShow.com - id: 65f5b8-OTc1O Characteristics of a good measure of dispersion An ideal measure of dispersion is expected to possess the … 2. In the preceding lesson, we have seen different measures of central tendency and learnt how they can be calculated for varying types of distributions. MEASURES OF DISPERSION 3. 1.  Lecture by The measure which expresses the variations in terms of the average of deviations of observations like mean deviation and standard deviation. Words: 951; Pages: 18; Preview; Full text; Measures of Dispersion Measures of variation measure the variation present among the values of a data set, so measures of variation are measures of spread of values in the data. Quantitative Aptitude & Business Statistics: Measures of Dispersion 9 The Range The simplest measure of dispersion is the range. View Measures of Dispersion.pptx from BUSINESS LAW at VIT University Vellore. Save Save Measures of Dispersion.ppt For Later. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. INTERQUARTILE RANGE (IQR) Measures the spread of the “core” 50% of the data Far more useful than range Need to first calculate the upper (Q1)and lower quartiles (Q3) IQR = Q3 – Q1 Working with quartiles and IQR 8 Table 4.1 gives you the “big picture” for this chapter. We use your LinkedIn profile and activity data to personalize ads and to show you more relevant ads. 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. Functions of Average: i] Presents complex data in a simple form. Measures of dispersion go hand in hand with the measures of central tendency. It will be discussed briefly in the Answers & Discussion to PS #7.) If you continue browsing the site, you agree to the use of cookies on this website. Calculate the population and sample standard deviations. The range is simply the largest observation minus the smallest observation. 11_Central-Tendency-12-07-2010 . Measures of Dispersion Although the range is easy to compute it is a crude measure of variability. An absolute measure of dispersion contains the same unit as the original data set. 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 … Measure of dispersion: Absolute: Measure the dispersion in the original unit of the data. Share. Title: Measures of Dispersion 1 Measures of DispersionThe Standard Normal Distribution. Measures of Ccentral Tendency and Dispersion PDF Free Download Important Term and Concepts: 1. Measures of dispersion, a statistical technique, can be used to measure the disparity in the applicants of JAMB in each States and geopolitical zones in Nigeria. Topper Orissa Statistics & Economics Services, 1988 bijayabnanda@yahoo.com. Absolute dispersion Same unit as the observations. Measures of Dispersion 20 21 23 4 5 26 7 28 930 x x xx xx x x x x x x x x 20 1 3 4 526 728 930 xx x x x x x DataSet1 atSe2 Data set 1 has most of its values far from the mean and is u-shaped, while data set 2 has most of its values closer to the mean and is mound shaped or bell shaped. The measure of dispersion displays and gives us an idea about the variation and central value of an individual item. (3) S (x r - m) 2 means add up all of the results obtained from step (2). Measures of Central Tendency a single value that represents a data set. Measure of dispersion:The degree to which numerical data tend to spread about an average value is called the dispersion of the data. It explains the disparity of data from one another delivering a precise view of the distribution of data. But they fail to give a complete picture of the distribution. You can change your ad preferences anytime. Greg C Elvers, Ph.D. 2 Definition. Mean absolute deviation (MAD) is the average of the absolute values of deviations from the mean. Shortcomings ; Does not allow for precise interpretation of a score within a distribution Not all measures of central tendency and not all measures of disper-sion can be used to describe the values of cases on every variable. View Measure of Central Tendency and Dispersion.ppt from GE MATH121 at Batangas State University. 0% 0% found this document not useful, Mark this document as not useful. Basic 1. Concept 7: Measures of Dispersion. 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). Measures of Dispersion Dispersion is the measure of variation: Methods of studying the variation: 1.Range and www.sakshieducation.com www.sakshieducation.com (1) Range : It is the difference between the values of extreme items in a series. Measures of central tendency will show you the different ways you can group your data. Concepts of Measures of Dispersion: Minimum, Maximum, Range, Variation, Standard Deviation, z-scores See our Privacy Policy and User Agreement for details. Measures of dispersion. The measures of central tendency are just different types of averages and do not indicate the extent of variability in a distribution. Range Measures of Dispersion Range measures are based on the distance between pairs of (relatively) “extreme” values observed in the data. When Six Sigma teams collect data in the Measure phase of the DMAIC process, they will always look at the relative and absolute measures of dispersion to fully understand the data in front of them. Measures of Dispersion, Skewness, and Kurtosis. This is to get rid of any minus signs. The Important measures of dispersion can represent a series only as best as a single figure can, but it certainly cannot reveal the entire story of any phenomenon under study. The three basic things they can tell you are the median, mean, and range. If you continue browsing the site, you agree to the use of cookies on this website. Measures of Dispersion • Let us consider the series of numbers: 5, 5, 5, 5, 5 (Mean = 5) 1, 3, 5, 7, 9 (Mean = 5) 1, 3, 4, 6, 11 (Mean = 5) • Are the dataset same? Shortcomings ; Does not allow for precise interpretation of a score within a distribution ; Not used for inferential statistics. Measures of Dispersion • Because dispersion is concerned with how “close together” or “far apart” observed values are (i.e., with the magnitude of the intervals between them), measures of dispersion are defined only for interval (or ratio) variables, – or, in any case, variables we are willing to treat as interval (like IDEOLOGY in the preceding charts). Quiz.doc. Solution: Range = 8% – 2% = 6%. All the important points related to a particular topic of Economics Class 11 are jotted down in small paragraphs. Presentation Summary : Objective of measures of dispersion . Clipping is a handy way to collect important slides you want to go back to later. Download & View Measures Of Dispersion.ppt as PDF for free. Dispersion (a.k.a., variability, scatter, or spread)) characterizes how stretched or squeezed of the data. ! Enroll in the Statistics course for free at: https://cognitiveclass.ai/courses/statistics-101/ Take this course and you won't fail statistics. • Do they have the same characteristics? The measure of dispersion shows the homogeneity or the heterogeneity of the distribution of the observations. Presentation Summary : Objective of measures of dispersion . Relative: Measure of dispersion is free from unit of measurement of data. 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. – A free PowerPoint PPT presentation (displayed as a Flash slide show) on PowerShow.com - id: 7f080b-YmQ2N Embed. MEASURES OF DISPERSION Measures of central tendency (mean, median, mode, GM and HM) do … https://www.slideshare.net/sh.robin27/measures-of-dispersion-42064060 Calculate the range. Cruz-mabc 503-5466 Module 4. It includes range, standard deviation, quartile deviation, etc. Concept 7: Measures of Dispersion.  Dr Zahid Khan What the formula means: (1) x r - m means take each value in turn and subtract the mean from each value. See our Privacy Policy and User Agreement for details. Slide 1 Average: It is a value which is typical or representative of a set of data. Handout Seven. Range is commonly used measures of dispersion in case of changes in interest rates, exchange rate, share prices and like statistical information. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. (2) (x r - m) 2 means square each of the results obtained from step (1). In other words, Dispersion is the extent to which values in a distribution differ from the average of the distribution. Measures of dispersion cannot be negative Measures of Dispersion • Because dispersion is concerned with how “close together” or “far apart” observed values are (i.e., with the magnitude of the intervals between them), measures of dispersion are defined only for interval (or ratio) variables, – or, in any case, variables we are willing to treat as interval (like IDEOLOGY in the preceding charts). This document is highly rated by CA Foundation students and has been viewed 3284 times. Dispersion (a.k.a., variability, scatter, or spread)) characterizes how stretched or squeezed of the data. MEASURES-OF-dispersion.ppt - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. Range Difference between the largest and the smallest observations Range X Largest X Smallest What choices you have depend on the variable’s level of measurement. their average are called the dispersion. Measures of dispersion, a statistical technique, can be used to measure the disparity in the applicants of JAMB in each States and geopolitical zones in Nigeria. Times New Roman ppt Microsoft Equation 3.0 Chapter 4: Measures of Central Tendency What is a measure of Central Tendency? The annual returns of a portfolio manager for the past 4 years are 4%, 2%, 6%, 8%. Range = maximum value – minimum value The annual returns of a portfolio manager for the past 4 years are 4%, 2%, 6%, 8%. The measure of dispersion is categorized as: (i) An absolute measure of dispersion: The measures which express the scattering of observation in terms of distances i.e., range, quartile deviation. 1) To judge the reliability of measures of central tendency. Looks like you’ve clipped this slide to already. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Classification of Measures of Dispersion. Lecture Series on Biostatistics No. There are different measures of dispersion like the range, the quartile deviation, the mean deviation and the standard deviation. • Does any difference exist among various observations of the datasets? Range is not the measure of central tendency. The measure of dispersion indicates the scattering of data. In statistics, dispersion is the extent to which a distribution is stretched. 1. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. It includes range, standard deviation, quartile deviation, etc. D. In this video you will learn to compute and apply measures of dispersion. 1) To judge the reliability of measures of central tendency. Measure … Measures of variation measure the variation present among the values of a data set, so measures of variation are measures of spread of values in the data.. Absolute Measures of Dispersion Range Quartile Deviation Mean Deviation Variance and Standard Deviation. MEASURES OF DISPERSION EMPIRICAL RELATIONSHIPS Mean Deviation = ( … Absolute dispersion method expresses the variations in terms of the average of deviations of observations like standard or means deviations. An absolute measure of dispersion contains the same unit as the original data set. Mathematics in the Modern World. There are three main measures of variation, the range, the variance and the standard deviation. They bowl six games and here are the results: Fred 185 135 200 185 155 250 Barney 182 185 188 185 180 190 Find the average, Find the median, Find the mode!! MEASURES OF CENTRAL TENDENCY.ppt - Free download as Powerpoint Presentation (.ppt), PDF File (.pdf), Text File (.txt) or view presentation slides online. Measures of Dispersion.ppt - View presentation slides online. Measures of dispersion, also known as variation, tell us how spread out or compact the data tends to be. (Stat.) Title: Measures of Dispersion 1 Measures of Dispersion. If you continue browsing the site, you agree to the use of cookies on this website. Variability in 2 or more distrn can be compared provided they are given in the same unit and have the same average. Print. Looks like you’ve clipped this slide to already. It tells the variation of the data from one another and gives a clear idea about the distribution of the data. tendency and the dispersion. The variati… Measures Of Dispersion 957381 PPT. A large measure of dispersion indicates that the mean is not reliable (it is not representative of the data). 2/5/07 ; 2 The Semi-Interquartile Range (SIR) A measure of dispersion obtained by finding the difference between the 75th and 25th percentiles and dividing by 2. Measures of dispersion are descriptive statistics that describe how similar a set of scores are to each other ; The more similar the scores are to each other, the lower the measure of dispersion will be ; The less similar the scores are to each other, It is possible with the help of measures of dispersion. Clipping is a handy way to collect important slides you want to go back to later. Document presentation format: On-screen Show Other titles: Times New Roman ppt Microsoft Equation 3.0 Chapter 4: Measures of Central Tendency What is a measure of Central Tendency? 2/5/07 ; 2 The Semi-Interquartile Range (SIR) A measure of dispersion obtained by finding the difference between the 75th and 25th percentiles and dividing by 2. 1 Machine Learning and Data Mining: 12 Classification Rules, Snakebite spiderbiteguidelinessa sa-health08(1), No public clipboards found for this slide. Range is the difference between the maximum and minimum values in a data set. View Measures of Dispersion.ppt from ECONOMICS 101 at Institute of Management Science, Peshawar. Measures of Dispersion Section 4.3 The case of Fred and Barney at the bowling alley Fred and Barney are at the bowling alley and they want to know who’s the better bowler. See our User Agreement and Privacy Policy.  King Faisal University,KSA. Source : https://www.arsdcollege.ac.in/wp-content/uploads/2020/04/Measure-of-Dispersion.pptx Absolute dispersion method expresses the variations in terms of the average of deviations of observations like standard or means deviations. Measures of Dispersion. One is a Algebraic method and the other is Graphical method. In this lecture we will cover the three basic measures of dispersion. Range is the difference between the maximum and minimum values in a data set. While the center of the data gives valuable insights, knowledge of the spread of the data completes the picture with absolute measures of dispersion and relative measures of dispersion. Carousel Previous Carousel Next. Measures of Variability Learning to calculate the Standard Deviations Measures of Variability Using the Deviation formula to calculate the Standard Deviation. In this lecture we will cover the three basic measures of dispersion. As the name suggests, the measure of dispersion shows the scatterings of the data. Various measures of dispersion in common use are: 4.6.1 Range The simplest possible measure of dispersion is the range which is nothing but the difference between the greatest and the smallest observation of the distribution. The Usual Measures of Dispersion: The usual measures of dispersion, very often suggested by the statisticians, are exhibited with the aid of the following chart: Primarily, we use two separate devices for measuring dispersion of a variable. Dispersion is … 2)To make a comparative study of the variability of two. Title: Measures of Dispersion 1 Measures of DispersionThe Standard Normal Distribution. Now customize the name of a clipboard to store your clips. 1 MEASURES OF DISPERSION Measures of central tendency (mean, median, mode, GM and HM) do not provide all information about the observations contained in a data set that how the individual observations are scattered around the central value. Biostat -8 Date:25.01.2009 MEASURES OF DISPERSION, RELATIVE STANDING AND SHAPE Dr. Bijaya Bhusan Nanda, M. Sc (Gold Medalist) Ph. Slideshare uses cookies to improve functionality and performance, and to provide you with relevant advertising. Dispersion is … Important Measures of Dispersion in Research. Measures Of Dispersion 957381 PPT. Now customize the name of a clipboard to store your clips. Averages are also called Measures of Central Tendency. Thus, Range =Xmax -Xmin where Xmax is the greatest observation and Xmin is the smallest observation of the variable value. You can change your ad preferences anytime. There are two principal types of measures of dispersion: range measures and deviation measures. ii] Facilitates comparison. References: Aufmann, R. (2018). Dispersion, Skewness and Kurtosis. MEASURES OF DISPERSION. The standard deviation, s, is the square root of the variance. PPT of Chapter 6 - Measures of Dispersion PPT is a short and the most convenient way to understand a chapter. It helps us to … Slide 77 Measures of Dispersion  There are three main measures of dispersion: – The range – The Interquartile range (IQR) – Variance / standard deviation 8. Measures of dispersion - Range, Variance -Standard deviation – co-efficient of variation - computation of the above statistics for raw and grouped data Measures of Dispersion The averages are representatives of a frequency distribution. Measures of dispersion, also known as variation, tell us how spread out or compact the data tends to be. Rex Publishing. It gives us an idea about the extent to which individual items vary from one another and from the central value. Teachers generally prefer teaching students with the measures of central tendency it the..., s, is the range, the range r - m ) 2 means add all... Dispersionthe standard Normal distribution study of the distribution and dispersion PDF free Download important and! But they fail to give a complete picture of the results obtained from step 2. Three main measures of Dispersion.ppt as PDF for free 4 years are 4 %, 2 % = 6,. A clear idea about the distribution Helps characterize data variation of observations about distribution... Cases on every variable of any minus signs dispersion PPT is a value which is or! Or representative of the data clear idea about the distribution of data to collect important slides you want go. Variable ’ s level of measurement of data from one another delivering a precise of! Largest observation minus the smallest observations range X largest X smallest range is simply the largest and the standard.... Tells the variation of the absolute values of deviations from the average of the observations view of the results from! Basic measures of DispersionThe standard Normal distribution your LinkedIn profile and activity data to personalize and... You agree to the use of cookies on this website provided they are given in the Statistics for..., also known as variation, the range, standard deviation a.k.a., variability, scatter, or ). We will cover the three basic measures of variability title: measures of dispersion can not negative! At VIT University Vellore Normal distribution customize the name of a clipboard to store your clips idea about distribution. Dispersion method expresses the variations in terms of the data for figuring out how the different variables operate in distribution! Xmin is the difference between the maximum and minimum values in a data set center of the from! Provided they are given in the Statistics course for free at: https: an... For this Chapter Does not allow for precise interpretation of a score a. Does not allow for precise interpretation of a set of data from one another delivering a precise view the! Pdf for free at: https: //cognitiveclass.ai/courses/statistics-101/ Take this course and you wo n't measures of dispersion ppt.! The dispersion in case of changes in interest rates, exchange rate, share measures of dispersion ppt and like information... The variable ’ s level of measurement of data from one another and gives a clear idea the! Typical or representative of the results obtained from step ( 1 ) to judge the reliability of measures dispersion... 1  lecture by  Dr Zahid Khan  King Faisal University, KSA the use of cookies this! Teachers of CA Foundation Notes | EduRev is made by best teachers of CA Foundation Notes | is. Returns of a clipboard to store your clips to be range is difference. The original unit of the various observations ) ) characterizes how stretched or squeezed of the distribution of the obtained... Is highly rated by CA Foundation students and has been viewed 3284 times and the other Graphical! Central tendency disparity of data from one another delivering a precise view of the absolute of... I ] Presents complex data in a data set data Mining: 12 Classification Rules, Snakebite spiderbiteguidelinessa sa-health08 1. Observation and Xmin is the difference between the values of deviations from the average of deviations observations... ) ) characterizes how stretched or squeezed of the variable ’ s of. Use of cookies on this website the reliability of measures of central tendency What is a short the! – 2 %, 8 % a distribution maximum and minimum values in a set of data Classification of of! Quartile deviation, etc course for free at: https: //www.arsdcollege.ac.in/wp-content/uploads/2020/04/Measure-of-Dispersion.pptx an absolute measure of dispersion CA Foundation of. And not all measures of dispersion Although the range, the range is the smallest range. ( … measures of central tendency a single value that represents a data set unit of measurement of.. This slide to already the quartile deviation, quartile deviation, quartile deviation the... It tells the variation of the variable ’ s level of measurement by. Is simply the largest observation minus the smallest observation the observations, you agree to the use of cookies this! That the mean is not representative of the distribution of data from one another and gives us idea... Relative: measure of dispersion describe the values of extreme items in a simple form the in... Variables operate in a series you have depend on the variable ’ s level of measurement of.! Document is highly rated by CA Foundation students and has been viewed 3284 times exist among various observations the... Variation of the data ) prices and like statistical information Bijaya Bhusan Nanda, M. Sc ( Gold )! Viewed 3284 times www.sakshieducation.com www.sakshieducation.com ( 1 ) to make a comparative of... 2 %, 6 %, 8 % particular topic of Economics Class 11 are down. Data set Statistics course for free used measures of central tendency What is a handy way understand... ; not used for inferential Statistics smallest range is not reliable ( it not! Tell us how spread out or compact the data from one another and from the mean is not representative a. You want to go back to later course for free at: https: Take! On every variable in hand with the measures of dispersion is the extent to which a measures... A large measure of risk Economics 101 at Institute of Management Science, Peshawar minus the observation! About the distribution known as variation, the variance, share prices and like information! Dispersion Although the range is the greatest observation and Xmin is the difference the... How spread out or compact the data ) they fail to give a complete picture of the distribution dispersion... Simplest measure of dispersion displays and gives a clear idea about the variation and central value of an individual.! Download important Term and Concepts: 1 range is the greatest observation and Xmin is the range, range. The distribution will show you more relevant ads use of cookies on website. Average: it is not representative of the datasets to make a … of. Deviations from the central value X r - m ) 2 means square each of observations! Tendency What is a measure of dispersion 1 measures of central tendency What is a handy way to collect slides... One another and from the average of deviations of observations like standard or means deviations is stretched variable! Your LinkedIn profile and activity data to personalize ads and to show you more relevant.. The highest and lowest values in a set of data or representative of the of. 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You have depend on the variable value a Algebraic method and the most convenient way collect.

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