Limitations: 1. Marks It is denoted as C.D. An ideal measure of dispersion is expected to possess the following properties 1. Quartile Deviation (Q.D. Also calculate coefficient of mean deviation: Find out who is a good scorer and who is a consistent player? Calculate mean deviation from the mean and median respectively from the data: Estimate the coefficient of mean deviation from the median from the following data: The following table gives marks obtained by 7 students of a class. Range is commonly used measures of dispersion in case of changes in interest rates, exchange rate, share prices and like statistical information. 59 Where this value is equal to 1 there is a random or POISSON DISTRIBUTION ; greater than 1 aggregation or under-dispersion, and a value smaller than 1, indicates an even distribution or over-dispersion (e.g. ward dispersion model used in a source inversion problem in emergency response operations to characterize the source location and strength. ⇒    Q3 = 23 21 We know that the difference between the third quartile (Q3) and first Quartile (Q1) of a series is called the inter Quartile range i.e. 54 If … The index of dispersion is sometimes used for count data. The dispersion coefficient is also used when two series with different measurement unit, are compared. Using step-deviation method, calculate standard deviation of the following series: Find out standard deviation of the savings of the following 10 persons: Find out standard deviation and its coefficient of the following series: Calculate standard deviation of the following series: Calculate standard deviation of the following data, using step-deviation method. Another way to prevent getting this page in the future is to use Privacy Pass. Comment on how volatile are the share prices. Here, Following data relate to the age-difference of husbands and wives of a particular community. Calculate the range of share prices. 8, 9, 11, 12, 13, 17, 20, 21, 23, 25, 27 Coefficient of Q.D.=Q3 - Q1Q3 + Q1=26.5-20.7526.5+20.75=0.121. or, Q3 = Size of 6th item + 34Size of 7th item-Size of 6th item If the dispersion is expressed in terms of the original units of the series, it is called absolute measure of dispersion. Find out mean deviation of the following series from mean and median: Calculate mean deviation and coefficient of mean deviation with the help of median: Calculate mean deviation from mean of the following series: Given below are the marks obtained by the students of a class. … These solutions for Measures Of Dispersion are extremely popular among Class 11 Commerce students for Economics Measures Of Dispersion Solutions come handy for quickly completing your homework and preparing for exams. or,  Q1     = Size of 11+14th item Calculate mean deviation and standard deviation. R= H− L The coefficient of variation is the most representative of all the measures of dispersion we’ve talked about because it gives you an abstract number. 82, 100, 110, 116, 150, 150, 170, 200, 250 e.g. Statistics for Economics Class 11 Notes Chapter 6 Measures of Dispersion Dispersion “It is the measure of the variation of the item”. It helps us to determine changes in the … 28 R = H − L ∑|dM| = 115 1-12. 68 49 5 students obtained following marks in statistics: This general formula is usually applied in estimating the COD from non-stratified sales data, where the true representativeness of each sale is … Li Z H, Huang J and Li J 1998 Preliminary study on longitudinal dispersion coefficient for the gorges reservoir; In:Proceedings of the seventh International Symposium Environmental Hydraulics,16–18December,HongKong,China. ADVERTISEMENTS: Advantages: 1. Range is widely used in statistical series relating to quality control in production. Find out the mean deviation and its coefficient using median of the following data: The given data series is individual in nature, therefore, to calculate median, we first have to arrange the data in ascending order. This is done as below. Highest value (H) = 77 2 Range This is the simplest possible measure of dispersion … )=Q3-Q12or, Q.D.=23-112or, Q.D.=122⇒ Q.D.=6Coefficient of quartile deviation=Q3-Q1Q3+Q1or, Coefficient of Q.D.=23-1123+11=1234=0.353                               Hence, the range (R) of the above data is 20 and coefficient of Range (CR) is 0.4. However, Dataplot reserves this term for the ratio of the median absolute deviation to the mean. Coefficient of Range (CR)=H-LH+L or, CR=250-160250+160=90410⇒ CR =0.219 or 0.22 ( approx.) 28, 18, 20, 24, 30, 15, 47, 27, In order to find the quartile deviation in case of individual series, we need to find out the values of third quartile and first quartile using the following equations: 54 If the index of dispersion is larger than 1, a dataset is … or,   R  = 250 − 160 59 When the coefficient of dispersion is less than 1, a dataset is said to be "under-dispersed": this condition can relate to patterns of occurrence that are more regular than the randomness associated with a Poisson process. As we have discussed in Chapter 1, the scale dependency of the hydrodynamic dispersion coefficient is an outcome of the associated Fickian assumptions. 17 852, 635, 792, 836, 750, Weight of nine students of a class is given below. It's calculated by the following equations in excel. Since it is based on quantile information, it is less sensitive to outliers than measures such as the Coefficient of variation.As such, it is one of several Robust measures of scale. Find out quartile deviation and coefficient of quartile deviation of the following series: coefficient of dispersion: the variance divided by the mean. MCQ’s of Measures of Dispersion MCQ No 4.1 The scatter in a series of values about the average is called: (a) Central tendency (b) Dispersion (c) Skewness (d) Symmetry MCQ No 4.2 The measurements of spread or scatter of the individual values around the central point is called: Eng. Present the data by way of Lorenz curve. Events will be under-dispersed called chromatic dispersion three types of dispersion … ncert Solutions of on. A dispersion is a good scorer and who is a consistent player remains the as! Id: 618441ab9d73cc7f • your IP: 31.14.12.189 • Performance & security by cloudflare, Please complete the check... 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