# measures of dispersion questions and answers pdf

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Calculation of standard deviation from mean: Question 12. Variance co-coefficient (from mean deviation) = $$\frac{\mathrm{MD}}{\mathrm{x}}$$ It is calculated to compare the variability in two or more than two series. UNIT 17 Measures of Central CSEC Multiple Choice Tendency Questions MEP Jamaica: STRAND F UNIT 17 Measures of Central Tendency: CSEC Multiple Choice Questions Question 38. Answer : The study of the averages is only one sided distribution story.In order to understand the frequency distribution fully, it is essential to study the variability of the observations. Question 1. Quartile deviation = $$\frac{\mathrm{Q}_{3}-\mathrm{Q}_{1}}{2}=\frac{45000-18000}{2}$$ = 13500, 2. Karnataka 1st PUC Economics Question Bank Chapter 6 Measures of Dispersion As a residt, there of, a majority of people may be below the poverty line. their average are called the dispersion. We have different measures of dispersion used in measuring the variation in a data set. Answer: 18000 calculate absolute Value of dispersion. Exercise 8.1: Measures of Dispersion. Answer: The range is the easiest one to calculate. Measures of Dispersion Chapter Exam Instructions. 45000, where as 76% earned more than Rs. Thus the mean deviation and standard deviation give a better idea about the dispersion of values within the range. How is dispersion of the series different from average of the series? Question 32. 1. The time required to deal with each employee varies. Co – efficient of variance. 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. Here Standard deviation = $$\frac{\sigma}{\overline{\mathrm{X}}}$$ × 100, 2. Measures of Dispersion class 11 Notes Economics. Hence V.C. Answer: to know how much homogenous or heterogeneous the data is. Now more uniformity in wages has taken place. Now it is also used tar the study of the distribution of profit wages etc. = $$\frac{492}{50}$$ = 9.84 Question 30. Relative Value of dispersion ie., coefficient of How is coefficient of quartile deviation calculated? Define range. (i) 63, 89, 98, 125, 79, 108, 117, 68 Answer: H�c"[V ���ǀ |@6 �(���f2c}/�ćQ��!g�Ʌ��B? Mean deviation is the arithmetic average of the deviation of all the values taken from some average value (mean, median, mode) of the series, ignoring sign (+or-) of the deviations. Have the wages become or less uniform? $$\mathrm{C.V}_{\mathrm{w}}=\frac{\sigma}{\mathrm{X}} \times 100$$ Add the multiplies & express it as $$\sum \int(\mathrm{d})$$. 18000. The choice is between X and Y on the basis of their five previous scores which are: Which batsman should be selected if we want, Coefficient of S.D. . Variance = $$\frac{\sum X^{2}}{N}=\frac{5750}{5}$$ = 1150 Runs Mean deviation through mean for individual series. Ease of calculation: What is Lorenz curve? Variance is the square of standard deviation. 0000003933 00000 n Data in ascending order 3. This page contains short questions and answers about Measure of Dispersion which includes introduction to measure of Dispersion or variation, different types of dispersion such as range, standard deviation, variance, … The Ram’s family, differences in incomes are comparatively lower. The standard deviation is perhaps the earliest for analytical work. 0000000952 00000 n In a town 25% of the persons earned more than Rs. *�b�5tou��(ft9"ܣ�p��H��Ă�.&�. Mean or Median is used in calculating the mean deviation. vii) Compare the values of different measures for each crop. a. Answer: Quartile deviation 4. Yet there maybe great disparity in its distribution. Absolute value of dispersion ie. x = deviation 1. Given formula of standard deviation for discrete series. Answer: 200 When the observations are in kilograms, the absolute measure is also in kilograms. Write down the Unique feature of mean deviation. Hence, mean wages will be affected but standard deviation will not be affected are the stndard deviation is independent of origin. 9, 10, 10, 12, 15, 16, 18, 19,21,25, iv) Mean Deviation about mean Difference between mean deviation and standard deviation. Answer: Question 13. What will be the effect of change of origin and change of scale on the standard deviation, mean & variance? = $$\frac{37.62}{136.5}$$ × 100 = 27.34%. Answer: What is your conclusion about variation of cost. (a) X 1 = 4, 8, 7, 3, 5, 10, 24, 5 ... may need to be cleared up and answers any questions about individual’s schedule. Variance $$\frac{\sum x^{2}}{N}=\frac{1710}{10}$$ = 171, b. i) Range Define quartile deviation. 20 What is Variance? In a town 25% of person earned more than Rs. It does not tell us the spread of values. Knowledge of only average is sufficient. Average daily wager of 50 worker of a factory was Rs. Answer: Answer: Question 16. Percentage change in range = 3/11 × 100 = 27.2%. New Average wage Calculate mean deviation by dividing the sum total of the deviation by the number of items. What is dispersion? Mean deviation is the least when taken about median. Write down the formula of calculating Coefficient of Variation 4. Question 6. Question 8. a. demonstrate understanding of the key concepts of the different measures of tendency and measures of variability of a given data. = Rs. On the other hand, mean deviation & standard deviation calaculate the variation of value from a central value. = 172 = (-1)2 = 172 – (+1) = 172 – 1 = 171. Symbolically variance = σ². Treat all deviations as positive. Total of wages before increase worker in wagers = 50 × 200 = Rs. What is the main limitation of range? Save my name, email, and website in this browser for the next time I comment. It involves a harder calculation than the range & quantile deviation. What is the difference between Variance and standard deviation? Answer: Answer: Coefficient of variation = 30, 1st PUC Economics Measures of Dispersion Very Short Answer Type Questions. a representative size of the Value. Answer: Coefficient of Range of Rice. Open ended distributions are those distribution in which either the lower limit of the lower class or the upper limit of the highest class or both are not specified. Mean deviation is not capable of algebraic treatment, because it ignores plus and minus signs. Measures of Dispersion 40 Mean Deviation Example The weights of a sample of crates containing books for the bookstore are (in kgs.) $$\overline { X } \quad =\quad \frac { \sum { f\left( x \right) } }{ N }$$ SD or $$\sqrt{\frac{\sum f_{x}^{2}}{N}}$$ Question 27. Illustrate the meaning of the term dispersion with example. In simple terms, it shows how squeezed or scattered the variable is. Define the range Absolute measures of dispersion are expressed in terms of original unit of series. Coefficient of range is the relative measure of range. It depends on all the values of the variable. Which measure of dispersion is the best and how? trailer << /Size 304 /Info 268 0 R /Root 282 0 R /Prev 130891 /ID[<5c38e2c274ce36de66f7fe195cd5b9b7><5c38e2c274ce36de66f7fe195cd5b9b7>] >> startxref 0 %%EOF 282 0 obj << /Pages 278 0 R /Type /Catalog /DefaultGray 279 0 R /DefaultRGB 280 0 R /AcroForm 283 0 R /PageMode /UseThumbs >> endobj 283 0 obj << /Fields [ 188 0 R ] /DR << /Font << /ZaDb 187 0 R /Helv 186 0 R /HeBo 288 0 R >> >> /DA (/Helv 0 Tf 0 g ) >> endobj 302 0 obj << /S 370 /T 491 /V 567 /Filter /FlateDecode /Length 303 0 R >> stream Measures of Dispersion. This is not useful when extreme items are to be given special height. Write down the merits of mean deviation? From the table use come to know that each family have average income of Rs. Question 14. Each worker is given a raise of Rs. In calculating mean deviation algebric signs are ignored. Deviation from the arithmetic Measures of dispersion measures the extent a distribution are stretched [2]. Define quartile deviation. Answer: Any constant multiplied are divided (change of scale) then mean, standard deviation and variation will change of the new changed data. Mean deviation and standard deviation are the measure of dispersion from average. . It is an average of second order. Question 36. $$\sigma=\sqrt{\frac{\sum x^{2}}{n}-(\bar{x})^{2}}$$, Question 17. PRACTICS QUESTION FOR CH 10 MEASURES OF DISPERSION Exercise 1(p 268): - Calculate the mean and the range of each of the following sets of data. Name the measures based on the spread of values 45000 where are 75% earned more than Rs. Median Middle value of rank ordered data Value that separates the higher half of a data set from the lower half %PDF-1.2 %���� Measures calculated from standard deviation It ignores 50 percent of the extreme items. It is a relative measure of standard deviation. Tr Jain Vk Ohri 2019 Solutions for Class 11 Commerce Economics Chapter 11 Measures Of Dispersion are provided here with simple step-by-step explanations. Merits: Question 11. Calculate |x-x| = 1+5+1+4+1=12 MD = 12/5 = 2.4 Typically, the weights of the crates are 2.4 kgs. Other measure can be also dealt with analytically but derivation are harder. The range is defined as the difference between the largest and the smallest value of variable in the given set of value R = L – S. Question 22. Answer: The Variance is the average squared deviation from mean and standard deviation is the square of Variance. Answer: Question 13. 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 … sures of dispersion. Each measure has its place in summarizing public health data. Question 9. Answer: Students must free download and practice these worksheets to gain more marks in exams. 2. 103, 97, 101, 106, 103. Range is the difference between the highest value and lowest value in a series. They give the answers in the same units as the units of the original observations. Question 1. According to Prof. C.R. Mean Deviation from A.M. = $$\frac{\sum \mathrm{fd}}{\sum \mathrm{f}}=\frac{998.4}{50}$$ = 19.96. 45000, where as 76 % earned more than Rs S.D and the standard deviation scholarships... Of all the items measures of dispersion questions and answers pdf the series into a single figure, it shows squeezed... = 11 inches by the average squared deviation from the arithmetic mean expressed terms..., Rice crop has greater variation scale ) then mean, standard deviation are the units... Give formula to calculate uniformity wages, we agree with the mean deviation in case discrete... Have different measures of dispersion other hand, mean & Variance = 171 spread of values =\frac { }. And sum of 10 % in wages = Rs direct method add the multiplies & express it as (! Find the range, quartile deviation, the standard deviation are rigidy defined \frac { 10 {. In understanding a frequency distribution comment have different measures of dispersion used in calculating the standard is... Central values are 75 % earned more than Rs as \ ( \frac { \sigma } 100! & answers not capable of algebraic treatment, because it ignores plus and minus signs in this test with employee... Not useful when extreme items are to be taken are provided here with simple step-by-step explanations are kgs... = 11 inches range implies higher dispersion new changed data, differences are higher Maria. The line of equal distribution when taken about median why should we dispersion... Mean expressed in terms of original unit of series all the four measures the range, quartile deviation, deviation. 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Middle half of Inter quartile range greater variation and practice these worksheets to gain more marks in.... What are the highest values also to dispersion away from the averages single figure, can... And solution for Exercise questions ) Exercise 8.1 Maths Book back answers and solution for Exercise ). And website in this browser for the calculation of mean deviation & deviation... Is more reliable and from the line of equal distribution mean H of the term with. The central tendency of a series Maria ’ s family, differences in incomes are comparatively.! We can assess how scattered are the highest, a a hikes of 10 values is 100 times the of. Distribution series of scale on the spread of values from a central value: a good measure dispersion. Tendency observations in the standard deviation and standard deviation: it is also used tar the study of the refers... 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