advantages and disadvantages of measures of dispersion

Research interest in ozone (a powerful antimicrobial agent) has significantly increased over the past decade. Huang et al. (b) It is not generally computed taking deviations from the mode value and thereby disregards it as another important average value of the variable. While making any data analysis from the observations given on a variable, we, very often, observe that the degree or extent of variation of the observations individually from their central value (mean, median or mode) is not the same and hence becomes much relevant and important from the statistical point of view. Are visual representation of data which can help us in finding Q1, Q2 and Q3. Range Defined as the difference between the largest and smallest sample values. Disclaimer Copyright, Share Your Knowledge This is one of the constraint we have on any sample data. Due to the possibility that (on occasion) measures of central tendency wont be the best way for a number to represent a whole data set, it is important to present a measure of dispersion alongside a measure of central tendency. In a set of data that has many scores this would take a great deal of time to do. 3. Calculate the Coefficient of Quartile Deviation from the following data: To calculate the required CQD from the given data, let us proceed in the following way: Compute the Coefficient of Mean-Deviation for the following data: To calculate the coefficient of MD we take up the following technique. Range. Range as a measure of the variability of the values of a variable, is not widely accepted and spontaneously prescribed by the Statisticians of today However, it is not totally rejected even today as it has certain traditional accept abilities like representing temperate variations in a day by recording the maximum and the minimum values regularly by the weather department, while imposing controlling measures against wide fluctuations in the market prices of the essential goods and services bought and sold by the common people while imposing Price-control and Rationing measures through Public Sector Regulations, mainly to protect interests of both the buyers and sellers simultaneously. Example 3 Calculation of the standard deviation. (d) It is easy to calculate numerically and simple to understand. And finally, under the Relative measure, we have four other measures termed as Coefficient of Range, Coefficient of Variation, Coefficient of Quartile Deviation and the Coefficient of Mean Deviation. (c) The definition and the concept of dispersion should be complete and comprehensive enough. Standard Deviation: The concept of SD as a successful measure of dispersion was introduced by the renowned statistician Karl Pearson in the year 1893 and it is still recognised as the most important absolute measure of dispersion. When would you use either? what are the advantages of standard deviation? An intuitive way of looking at this is to suppose one had n telephone poles each 100 meters apart. Advantage 2: Easy to work with and use in further analysis. It is thus considered as an Absolute Measure of Dispersion. It is not only easy to compute, it takes into account all the given values of the variable and again the final result remains almost unaffected from any remarkably high value of the variable under consideration. It is easy to calculate. In this method, its not necessary for an instrument to be calibrated against a standard. Statistically speaking, it is a cumulative percentage curve which shows the percentage of items against the corresponding percentage of the different factors distributed among the items. Dispersion is also known as scatter, spread and variation. Variance is a measurement of the dispersion of numbers in a data set. WebMerits of Range: (1) Range is rigidly defined. *can be affected by An example of data being processed may be a unique identifier stored in a cookie. (d) The algebraic treatment used in the process should easily be applicable elsewhere. Box plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data. This is a strength because it means that the standard deviation is the most representative way of understating a set of day as it takes all scores into consideration. 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. WebThe disadvantages of mean, mode, and median are the same as their advantages: they are simple, not sophisticated enough to use when comparing data sets. It is used to compare the degree of variation between two or more data series that have different measures or values. For example, the number 3 makes up part of data set B, this score is not similar in the slightest to the much higher mean score of 49.. 2.1 Top-Down Approach. WebMerits and demerits of measures of dispersion are they indicate the dispersal character of a statistical series. When the skewness is 0 i.e when distribution is not skewed then the centrality measure used is mean. (b) The concept of SD is neither easy to take up, nor much simple to calculate. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. It includes all the scores of a distribution. Characteristics of an ideal measure of dispersion:- The characterstics for an ideal measure of If outliers exist in a set of data such that the lowest or highest extremes are far away from almost every other data element in the set, then range may not be the best way to measure dispersion. Websures of dispersion. WebClassification of Measures of Dispersion. Platykurtic (Kurtosis < 3): The peak is lower and broader than Mesokurtic, which means that data has a lack of outliers. They enable the statisticians for making a comparison between two or more statistical series with regard to the character of their stability or consistency. The median is defined as the middle point of the ordered data. It holds for a large number of measurements commonly made in medicine. (1) It requires the mean to be the measure of central tendency and therefore, it can only be used with interval data, because ordinal and nominal data does not have a mean. It is easy to compute and comprehend. Compared to Range, Quartile Deviation, no doubt, is a better measure of dispersion and it is also easy to calculate. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. If the skewness is between -0.5 and 0.5, the data are fairly symmetrical. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Measures of dispersion describe the spread of the data. Measures of location describe the central tendency of the data. But the greatest objection against this measure is that it considers only the absolute values of the differences in between the individual observations and their Mean or Median and thereby further algebraic treatment with it becomes impossible. Moreover, these measures are not prepared on the basis of all the observations given for the variable. Lorenz Curve The curve of concentration: Measurement of Economic Inequality among the Weavers of Nadia, W.B: This cookie is set by GDPR Cookie Consent plugin. The expression 'bimodal' distribution is used to describe a distribution with two peaks in it. Under the Absolute measure we again have four separate measures, namely Range, Quartile Deviation, Standard Deviation and the Mean Deviation. (c) It can be used safely This is a weakness as the standard deviation does not cover all data types within its use and therefore is limited with regards to its use. They are liable to yield inappropriate results as there are different methods of calculating the dispersions. Its definition is complete and comprehensive in nature and it involves all the given observations of the variable. It does not necessarily follow, however, that outliers should be excluded from the final data summary, or that they always result from an erroneous measurement. This cookie is set by GDPR Cookie Consent plugin. If you have any concerns regarding content you should seek to independently verify this. Q1 is the middle value in the first half of the rank-ordered data set. Dispersion is the degree of scatter of variation of the variables about a central value. We thus express the magnitude of Range as: Range = (highest value lowest value) of the variable. Similarly the 3rd quartile would be the 5th observation in the upper half of the data, or the 14th observation, namely 2.40 kg. A high standard deviation suggests that, in the most part, themean (measure of central tendency)is not a goof representation of the whole data set. Divide the sum in #4 by (n 1). But the main disadvantage is that it is calculated only on the basis of the highest and the lowest values of the variable without giving any importance to the other values. The cookie is used to store the user consent for the cookies in the category "Performance". Advantages : The prime advantage of this measure of dispersion is that it is easy to calculate. as 99000 falls outside of the upper Boundary . Negative Skewness is when the tail of the left side of the distribution is longer or fatter than the tail on the right side. The cookies is used to store the user consent for the cookies in the category "Necessary". You may however be asked to interpret a standard deviation value (explain to the examiner what the measure means). The interquartile range is not vulnerable to outliers and, whatever the distribution of the data, we know that 50% of observations lie within the interquartile range. The expression (xi - )2is interpreted as: from each individual observation (xi) subtract the mean (), then square this difference. WebMeaning of Dispersion: Dispersion is the extent to which values in a distribution differ from the average of the distribution. Necessary cookies are absolutely essential for the website to function properly. This is the value that occurs most frequently, or, if the data are grouped, the grouping with the highest frequency. It is the average of the distances from each data point in the population to the mean, squared. x1 = x2 = x3 = xn), then they would equal the mean, and so s would be zero. The range is the difference In the Algebraic method we split them up into two main categories, one is Absolute measure and the other is Relative measure. In order to calculate the standard deviation use individual data score needs to be compared to the mean in order to calculate the standard deviation. (a) Quartile deviation as a measure of dispersion is not much popularly prescribed by the statisticians. The (arithmetic) mean, or average, of n observations (pronounced x bar) is simply the sum of the observations divided by the number of observations; thus: \(\bar x = \frac{{{\rm{Sum\;of\;all\;sample\;values}}}}{{{\rm{Sample\;size}}}} = \;\frac{{\sum {x_i}}}{n}\). This is a strength as this speeds up data analysis allowing psychologists and researchers to draw conclusions about their research at a faster pace. Low kurtosis in a data set is an indicator that data has lack of outliers. KSSM MATHEMATICS FORM 4Measures of Dispersion for Ungrouped DataAdvantages and disadvantages of various measures of dispersionExample 10 Example 11Page 224(Live version)Please post your math-related questions here:https://www.messenger.com/t/olzenmathsMy Facebook PageOlzen Mathematics 2020https://www.facebook.com/olzenmaths/SPM Mathematics Revisionhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5vjES5ilKAmpqxnr_ksmD0nhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5vq6Gvr7XxTA74pGo2tnv2hhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5tibouEfmmJMxVpepXTVO7ASPM Trial 2019 Mathematics (Penang)https://www.youtube.com/playlist?list=PLkQXp7Lpcc5sen1xdtmUOeBCnWUkQo6tlKBSM Mathematics Form 4 The Straight Linehttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uRnZeuuLmeH2uCRvsI1FWTSetshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5tCU4z6cHRyb8edITHnlz4dMathematical Reasoninghttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5tHoLE6SmXeMgJLfR-ppfLJKBSM Mathematics Form 5Chapter 1: Number Baseshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uM44q_Lh9qvTMlP37z48i_Chapter 3: Transformations IIIhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5vsAJJYlJNnhYS8uMSWPLr8Chapter 4: Matriceshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uFlFo3EAQaQO8FzKLVEltZChapter 5: Variationshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uWR1FgOFS3I0659p1KiAIiChapter 6: Gradient and Area under a Graphhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uLywl9PNUk7L3vKn1Q94kRChapter 7: Probability IIhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5vY4Qk6YKlhgt2RJnh49_uwChapter 8: Bearinghttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5sCBEcZtLLeRbCjMBN0WsQwChapter 9: Earth as a Spherehttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5sPJiCh5HrCyEsfTn9C0qfIChapter 10: Plans and Elevationshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5trEPI6kI7qGIuyKq_qSVNFKSSM Mathematics Form 4Chapter 1: Quadratic Functions and Equations in One Variablehttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uuLRIaZvhC6c7wy2Y2wAQxChapter 2: Number Baseshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uM44q_Lh9qvTMlP37z48i_Chapter 3: Logical Reasoninghttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5tW1FV9X0xuJiIoJWPzmR47Chapter 4: Operations on Setshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5t-vZJwjM-SwwHlnPXN3Y3aChapter 5: Network in Graph Theoryhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5sC3Ou4Z9_C1Mzc1AFLPbkCChapter 6: Linear Inequalities in Two Variableshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5tOjdt-dYMSGrjNXplO9zEqChapter 7: Graphs of Motionhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5sEQG0GawrUUABSN9vF-nT5Chapter 8: Measures of Dispersion for Ungrouped Datahttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5uSKEYCI0cfnU4OWTtpaLrWChapter 9: Probability of Combined Eventshttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5sAEsiFLHqo8ppw-D4oZo4Jhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5vY4Qk6YKlhgt2RJnh49_uwChapter 10: Consumer Mathematics: Financial Managementhttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5sR0fJUZSsbU7eh7X9kmT54Additional MathematicsLinear Programminghttps://www.youtube.com/playlist?list=PLkQXp7Lpcc5vZk4_ncie9c6fqgCf_Fhn3 Thus mean = (1.2+1.3++2.1)/5 = 1.50kg. Identify the batsman who is more consistent: Here, we can use Coefficient of Variation as the best measure of dispersion to identify the more consistent one having lesser variation. Measures of Dispersion: Standard Deviation: In order to summarise a set of scores, a measure of central tendency is important, but on its own it is not enough. It is the degree of distortion from the symmetrical bell curve or the normal distribution.It measures the lack of symmetry in data distribution . Now split the data in two (the lower half and upper half, based on the median). Characteristics of an ideal Moreover, the results of the absolute measure gets affected by the number of observations obtainable on the given variable as they consider only the positive differences from their central value (Mean/Median). Advantages of Coefficient of Variation 1. Overall Introduction to Critical Appraisal, Chapter 2 Reasons for engaging stakeholders, Chapter 3 Identifying appropriate stakeholders, Chapter 4 Understanding engagement methods, Chapter 9 - Understanding the lessons learned, Programme Budgeting and Marginal Analysis, Chapter 8 - Programme Budgeting Spreadsheet, Chapter 4 - Measuring what screening does, Chapter 7 - Commissioning quality screening, Chapter 3 - Changing the Energy of the NHS, Chapter 4 - Distributed Health and Service and How to Reduce Travel, Chapter 6 - Sustainable Clinical Practice, Prioritisation and Performance Management, Campbell MJ, Machin D and Walters SJ. The measure of dispersion is categorized as: (i) An absolute measure of dispersion: The measures express the scattering of observation However, the interquartile range and standard deviation have the following key difference: The interquartile range (IQR) is not affected by extreme outliers. The locus of those points ultimately traces out the desired Lorenz Curve. Let us offer a suitable example of it to measure such a degree of income inequality persisting among the weavers of Nadia, W.B. (c) It is rarely used in practical purposes. A third measure of location is the mode. (a) The main complaint against this measure is that it ignores the algebraic signs of the deviations. They include the range, interquartile range, standard deviation and variance. Positive Skewness: means when the tail on the right side of the distribution is longer or fatter. 1. Advantage 1: Fast and easy to calculate. For example, height might appear bimodal if one had men and women on the population. 3. Content Guidelines 2. The range is given as the smallest and largest observations. Share Your PDF File Quartile Deviation: While measuring the degree of variability of a variable Quartile Deviation is claimed to be another useful device and an improved one in the sense it gives equal importance or weightage to all the observations of the variable. WebMeasures of location and measures of dispersion are two different ways of describing quantative variables measures of location known as average and measures of dispersion Before publishing your Articles on this site, please read the following pages: 1. Here the given observations are classified into four equal quartiles with the notations Q1, Q2, Q3 and Q4. Variance is measure to quantify degree of dispersion of each observation from mean values. Learn vocabulary, terms, and more with flashcards, games, and other study tools. (c) It can be used safely as a suitable measure of dispersion at all situations. 2.1 Top-Down Approach. The cookie is used to store the user consent for the cookies in the category "Other. Therefore, the result can only be influenced with changes in those two values, not by any other value of the variable. *sensitive measurement as all values are taken into account. Merits and Demerits of Measures of Dispersion Homework Help in Statistics If the variability is less, dispersion is insignificant. more. Webwhat are the advantages of standard deviation? (d) It remains unaffected from the extreme values of the variable. Not all measures of central tendency and not all measures of disper- Advantages and disadvantages of control charts (b) Control charts for sample mean, range and proportion (c) Distinction Wide and dynamic range. Compute the mean.2. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. (g) Statisticians very often prescribe SD as the true measure of dispersion of a series of information. To view the purposes they believe they have legitimate interest for, or to object to this data processing use the vendor list link below. The lower dispersion value shows the data points will be grouped nearer to the center. Using other methods of dispersion, such as measuring the interquartile range, the difference between the 25th and 75th percentile, provide a better representation of dispersion in cases where outliers are involved. All rights reserved. 6. They speak of the reliability, or dependability of the average value of a series. (f) The result finally achieved should be least affected by sampling fluctuations. The interquartile range (IQR) is a measure of variability, based on dividing a data set into quartiles. from a research paper relevant in this context. Bacteria in the human body are often found embedded in a dense 3D structure, the biofilm, which makes their eradication even more challenging. In order to understand what you are calculating with the variance, break it down into steps: Step 1: Calculate the mean (the average weight). Shows the relationship between standard deviation and mean. *can be affected by extreme values which give a skewed picture, Research Methods - Features of types of exper, Research Methods - Evaluating types of experi, studies for the capacity, duration etc of mem, Chapter 3 - Infection Control, Safety, First. Note that if we added all these deviations from the mean for one dataset, the sum would be 0 (or close, depending on round-off error).3. This type of a curve is often used as a graphical method of measuring divergence from the average value due to inequitable concentration of data. It is measured as= (highest value lowest value) of the variable. It can be found by mere inspection. Usually in this case mean and median are equal. 1.55, 1.55, 1.79. Some of our partners may process your data as a part of their legitimate business interest without asking for consent. For determining Range of a variable, it is necessary to arrange the values in an increasing order. is the data made up of numbers that are similar or different? The median is the average of the 9th and 10th observations (2.18+2.22)/2 = 2.20 kg. Again, the use of Median while measuring dispersion of the values of a variable produces incorrect result on many occasions because computation of the Median value from the given observations usually include considerable errors when the observations represent wide disparity among themselves. Leptokurtic (Kurtosis > 3) : Peak is higher and sharper than Mesokurtic, which means that data has heavy outliers. Thus, it is a positively skewed distribution. The calculations required to determine the sum of the squared differences from the mean are given in Table 1, below. (c) It is least affected by sampling fluctuations. For some data it is very useful, because one would want to know these numbers, for example knowing in a sample the ages of youngest and oldest participant. WebThe major advantage of the mean is that it uses all the data values, and is, in a statistical sense, efficient. This is important to know the spread of your data when describing your data set. Again, the second lowest 20 per cent weavers have got a mere 11 per cent the third 20 per cent shared only 18 per cent and the fourth 20 per cent about 23 per cent of the total income. This is usually displayed in terms of inequalities existing in the distribution of income and wealth among the people under consideration. In particular, if the standard deviation is of a similar size to the mean, then the SD is not an informative summary measure, save to indicate that the data are skewed. There are four key measures of dispersion: Range. The sample is effectively a simple random sample. If outliers are present it may give a distorted impression of the variability of the data, since only two observations are included in the estimate. 2. The table represented above shows that the poorest 20 per cent of the income earners receive only 5 per cent of the total income whereas the richest 20 per cent of the sample respondents shared as much as 43 per cent of it. The following are thus unhesitatingly considered as important characteristics for an ideal measure of dispersion: (b) It should be easy to calculate and easily understandable. Note : When the client insist to have all the variable which he thinks are important, then we cannot directly ignore such variables even though their standard deviation is equal to 0. If the x's were widely scattered about, then s would be large. The Best Benefits of HughesNet for the Home Internet User, How to Maximize Your HughesNet Internet Services, Get the Best AT&T Phone Plan for Your Family, Floor & Decor: How to Choose the Right Flooring for Your Budget, Choose the Perfect Floor & Decor Stone Flooring for Your Home, How to Find Athleta Clothing That Fits You, How to Dress for Maximum Comfort in Athleta Clothing, Update Your Homes Interior Design With Raymour and Flanigan, How to Find Raymour and Flanigan Home Office Furniture. For example, the standard deviation considers all available scores in the data set, unlike the range. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. In order to get the df for the estimate, you have to subtract 1 from the number of items. *sensitive measurement as all values are taken into account. Merits and Demerits of Measures of Dispersion. Indeed, bacteria in biofilm are protected from external hazards and are more prone to develop antibiotic resistance. It is usually expressed by the Greek small letter (pronounced as Sigma) and measured for the information without having frequencies as: But, for the data having their respective frequencies, it should be measured as: The following six successive steps are to be followed while computing SD from a group of information given on a variable: Like the other measures of dispersion SD also has a number of advantages and disadvantages of its own. In order to avoid such limitations, we use another better method (as it is claimed) of dispersion known as the Mean Deviation. The mean of data set B is49. (b) It uses AM of the given data as an important component which is simply computable. 3. However, some illnesses are defined by the measure (e.g. WebExpert Answer. More precisely, it measures the degree of variability in the given observation on a variable from their central value (usually the mean or the median). For example, if we had entered '21' instead of '2.1' in the calculation of the mean in Example 1, we would find the mean changed from 1.50kg to 7.98kg. 4. Due to Standard Deviation being criticised for the complex nation in which it is calculates, the most straightforward measure of dispersion to calculate would betheRange. They facilitate in making further statistical analysis of the series through the devices like co-efficient of skewness, co-efficient of correlation, variance analysis etc. WebThe control of infectious diseases can be improved via carefully designed decontamination equipment and systems. This measures the average deviation (difference) of each score from themean. But opting out of some of these cookies may affect your browsing experience. Hence range cannot be completely representative of the data as all other middle values are ignored. Again, the concept of Range cannot provide us any idea about the nature of distribution of the concerned variable and practically it is not possible for us to determine the final result for opened classes. Advantages and disadvantages of Quartile Deviation: (a) Quartile Deviation is easy to calculate numerically. In this way, s reflects the variability in the data. The estimate of the median is either the observation at the centre of the ordering in the case of an odd number of observations, or the simple average of the middle two observations if the total number of observations is even. The median has the advantage that it is not affected by outliers, so for example the median in the example would be unaffected by replacing '2.1' with '21'. 2. specially in making predictions for future purposes. the values of the variable are scattered within 11 units. The well-known statistical device to exhibit this kind of a ground level reality is to trace out a Lorenz-Curve, also called the Curve of Concentration and measure the exact nature and degree of economic inequality existing among the weavers of Nadia with the aid of GINI- COEFFICIENT, an unit free positive fraction (lying in between 0 and 1). Yes, it matters!! Thus, the distribution of most people will be near the higher extreme, or the right side. The quartiles, namely the lower quartile, the median and the upper quartile, divide the data into four equal parts; that is there will be approximately equal numbers of observations in the four sections (and exactly equal if the sample size is divisible by four and the measures are all distinct). In this set of data it can be seen that the scores in data set A are a lot more similar than the scores in data set B. It is thus known as the Curve of Concentration. (f) QD at least is a better measure of dispersion compared to Range. WebBacterial infections are a growing concern to the health care systems. Indeed, bacteria in biofilm are protected from external hazards and are more prone to develop antibiotic resistance. The lower variability considers being ideal as it provides better predictions related to the population. Outliers and skewed data have a smaller effect on the mean vs median as measures of central tendency. However, five of the six quizzes show consistency in the students performance, achieving within 10 points of each other on all of these. Question. A moment's thought should convince one that n-1 lengths of wire are required to link n telegraph poles. Consider the following three datasets:(1) 5, 25, 25, 25, 25, 25, 45(2) 5, 15, 20, 25, 30, 35, 45(3) 5, 5, 5, 25, 45, 45, 45. WebClassification of Measures of Dispersion. The consent submitted will only be used for data processing originating from this website. In particular, it holds for data that follow a Normal distribution. Central tendency gets at the typical score on the variable, while dispersion gets at how much variety there is in the scores. The main disadvantage of the mean is that it is vulnerable to outliers. They are liable to misinterpretations, and wrong generalizations by a statistician of based character. Exclusive offers can be provided to our target group via direct mail, allowing us to personalize the buying They are liable to misinterpretations, and wrong generalizations by a When it comes to releasing new items, direct mail may be a very effective method. Determine the Coefficient of Range for the marks obtained by a student in various subjects given below: Here, the highest and the lowest marks are 52 and 40 respectively. (e) It should be least affected from sampling fluctuations. WebWhat are the characteristics, uses, advantages, and disadvantages of each of the measures of location and measures of dispersion? They also show how far the extreme values are from most of the data. WebThere are various methods that can be used to measure the dispersion of a dataset, each with its own set of advantages and disadvantages.

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