0 is defined to be = 1 Example: x = 71 A measure of dispersion: Differentiate between mean deviation & Standard deviation. The measures of dispersion is important to compare uniformity, consistency and reliability amongst variables / series. Question 6. Average try to tell only one aspect of a distribution ie. Answer: 20 Variance is the square of standard deviation. Standard deviation is the best measures of dispersion, because it Posseses’s most of the characterstics of an ideal measures disperrsion. Question 25. Question 8. 0000001085 00000 n Question 5. Take from central tendency ignoring signs (+, -) express it as | dx | Or (|dm|). Define the range Mean Deviation is less affected by extreme value than the Range. Yes, we agree with the statement. Measures Of Dispersion Mcqs for Preparation of Fpsc, Nts, Kppsc, Ppsc, and other test. Answer: Answer: Where x = x – $$\overline { X }$$ There is need to measure variation in dispersion and express it as a single figure, it can be further explained with an example. Calculate the absolute & relative values of dispersion. Some measures of dispersion depend upon the spread of values where as some calculate the variation of values from a control value. 0000006568 00000 n Range is the difference between the highest value and lowest value in a series. Question 2. The height of 11 men were 61, 64, 68, 69, 67, 68, 66, 70, 65, 67 and 72 inches. Variance is the square of standard deviation. Since coefficient of variation of Rice is more, therefore, Rice crop has greater variation. The yield of wheat and rice per acre for 10 districts of a state is as under: It is most populartly used to measure relative variation of two or more than two series. As a residt, there of, a majority of people may be below the poverty line. Total of wages before increase worker in wagers = 50 × 200 = Rs. about the mean determines the amount of dispersion. Q10 Find out Range and its coefficient for the following data. We have different measures of dispersion used in measuring the variation in a data set. These online MCQ tests includes all main concepts of the Measures of Central tendency and Dispersion in CA - CPT Quantitative Aptitude 281 0 obj << /Linearized 1 /O 284 /H [ 1085 506 ] /L 136641 /E 15163 /N 38 /T 130902 >> endobj xref 281 23 0000000016 00000 n Answer: Question 15. But there are considerable differences in individual methods. The range and Quantile deviation do not depend on all values where as the mean deviation and standard deviation use all values of the variable the range is affected the most by extreme values. Mean deviation 3. Calculation of standard deviation from mean: Question 12. Since C.V. of bulbs of Brand B (27.34%) is less than that of Brand A (51.55), therefore the bulbs of brand B are more dependable. Question 28. Answer: Question 4. Find out the deviation of different items from mean /median /mode. $$\overline { X }$$ = Mean value. i. Question 2. From the table use come to know that each family have average income of Rs. Given N-10, Σ X = 10, Σ X2 = 1090 Question 9. Multiply each deviation value by frequency facing it. Question 21. Measures of Dispersion Chapter Exam Instructions. Answer: Which measure of dispersion is the best and how? This is not useful when extreme items are to be given special height. Answer: Answer: Variance = $$\frac{\sum X^{2}}{N}=\frac{5750}{5}$$ = 1150 Runs 0000002088 00000 n Question 10. In a town 25% of the persons earned more than Rs. Answer: These short solved questions or quizzes are provided by Gkseries. = 32.54, Data in ascending order 12, 12, 12, 15, 18, 18, 22, 23, 29, 34 40. New Mean = Rs. Range is unduely uneffected by extreme range. 0000001845 00000 n Measures of Dispersion Although the range is easy to compute it is a crude measure of variability. Define standard deviation Clearly, the extent of spread or dispersion of the data is different in section A from that of B. 0000000811 00000 n 4700. Answer: 1. Simple interpretaion: 9, 10, 10, 12, 15, 16, 18, 19,21,25, iv) Mean Deviation about mean 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 20. It is used to compare unifromly, consistency and variability in two different series. Dispersion measures the extent to which different items tend to disperse away from the central tendency. These averages tell us something about the general level of the magnitude of the distribution, but they fail to show anything further about the distribution. It is the average squared deviation from mean whereas standard deviation is the square root of variance. Dispersion is a measure of the Variation of the items. Measures Of Dispersion CBSE Questions & Answers. Define disperation. Average: It is a value which is typical or representative of a set of data. To check he quality of two breands of light bulbs, their lie in burning hours was estimated as under for 100 bulbs of each brand. We take the following example for providing that the variance is uneffected by the choice of the assumed mean. = Rs. 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. The harmonic mean H of the positive real numbers 1, 2, 3, . Any constant added or substracted (Change of origin) than the standard deviation of original data and of change data after addition as substraction will not change but the mean of new data will change. Answer: Central tendency gets at the typical score on the variable, while dispersion gets at how much variety there is in the scores. 320,400,450,530,550,580,600,610,700.780,800. Define quartile deviation. = 25 – 9 0000002473 00000 n Measures of Dispersion class 11 Notes Economics. $$\sigma=\sqrt{\frac{\sum \mathrm{d}^{2}}{\mathrm{n}} \times \mathrm{C}}$$. Why should we measure dispersion about some particular value? There are different measures of dispersion like the range, the quartile deviation, the mean deviation and the standard deviation. Question 1. C. Vw = $$\frac{\sigma}{\mathrm{X}}$$ × 100 = $$\frac{7.158}{19.5}$$ × 100 = 636.70. Change of origin & change of scale: Following are the effects of change of origin and change of scale on the mean, standard deviation and variance. Following steps are involved in the calculation of mean deviation. a representative size of the Value. 2. Based on all values: Have the wages become or less uniform? Answer: Answer: |x-x| = 1+5+1+4+1=12 MD = 12/5 = 2.4 Typically, the weights of the crates are 2.4 kgs. It is the difference between the highest and the lowest scores in a set of data i.e.Range = maximum value – minimum valueExample 1Consider the following scores of 10 CFA Level 1 candidates78 56 67 51 43 89 57 67 78 50Range = 89 – 43 = 46 Lorenz curve is a measure of deviation of actual distribution from the line of equal distribution. On the other hand, mean deviation & standard deviation calaculate the variation of value from a central value. Absolute Measure: Question 4. 45000, where as 76% earned more than Rs. Mean deviation through mean for individual series. 0000001569 00000 n A variable ‘x’ takes the following values: 7, 9, 18, 11, 10, 8, 17, 13, 11, 16 0000003813 00000 n $$\overline { X } \quad =\quad \frac { \sum { f\left( x \right) } }{ N }$$ SD or $$\sqrt{\frac{\sum f_{x}^{2}}{N}}$$ 0000014899 00000 n = 172 = (-1)2 = 172 – (+1) = 172 – 1 = 171. It should be based on all the observation. Question 13. Each worker is given a raise of Rs. In equation, variance = $$(\sigma)^{2}$$. Answer: Prove by an example that the Variance is uneffected by the choice of the assumed mean. Measures of Dispersion Multiple Choice Questions and Answers (MCQs), measures of dispersion quiz answers PDF, business statistics test 1 to study online certificate courses. Only mean is used in calculating the standard deviation. Following are the methods of absolute and relative measures of dispersion: Coefficient of Variation (Maths Book back answers and solution for Exercise questions) Exercise 8.1. Variance 6. Percentage change in range = 3/11 × 100 = 27.2%. Co – efficient of S.D. Here Standard deviation = $$\frac{\sigma}{\overline{\mathrm{X}}}$$ × 100, 2. 0000000952 00000 n Answer: What is measure of dispersion? Free download in PDF Central Tendency Multiple Choice Questions and Answers for competitive exams. Give two limitation of Range. from the mean weight of 102 kgs. Question 8. Answer: Short Questions and Answers about Measure of Dispersion . Variance: The measures of dispersion are required to measure the amount of variation of values about the central values. Higher value of range implies higher dispersion. It is a relative measure of standard deviation. Choose your answers to the questions and click 'Next' to see the next set of questions. Define quartile deviation. vii) Compare the values of different measures for each crop. Calculation of co – efficeient of variation: In calculating standard deviation, algebraic signs are taken into account. iii. Thus the mean deviation and standard deviation give a better idea about the dispersion of values within the range. Coefficient of Variance = $$\frac{33.91}{70}$$ × 100 = 48.44%. Answer: Only when we study dispersion along with average of series that we can have a comprehensive information about the nature and composition of a statistical series. It involves a harder calculation than the range & quantile deviation. representative size of values, to understand it better, we need to know the spread of values also. Relative Value of dispersion ie., coefficient of 220. Answer: Answer: In simple terms, it shows how squeezed or scattered the variable is. Below we provided the link to access the Notes, Important Question & Practice Paper of Class 11 Economics for topic Measures of Dispersion. 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. Answer: Standard deviation is the positive square root of the mean of squared deviation from mean S.D. Range and quatile deviation measure the dispersion by calculating the spread within which the values lie. The Variance is the average squared deviation from mean and standard deviation is the square of Variance. Answer: Briefly explain the various measures calculated from standard deviation? The Ram’s family, differences in incomes are comparatively lower. Calculate the range of the following observations : $$\sigma=\sqrt{\frac{\sum x^{2}}{n}-(\bar{x})^{2}}$$, Question 17. Answer: Question 9. What is Coefficient of Variation? What is dispersion? 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The given data understand it better, we agree with the mean variation & lesser of! By deviation from the arithmetic average N = No of items the group is with... Range, quartile deviation, algebraic signs are taken into account understanding of the items Quantitative Aptitude constant multiplied divided! Click 'Next ' to see the next set of questions Chapter 11 measures of by... 4500, 6000, 5500, 3750 and 4700 the arithmatic mean of deviation... What are the measure of central tendency observations in the calculation of co – efficeient of variation: 1 percentage! Data set { \overline measures of dispersion questions and answers pdf x } \ ) × 100,.! Between mean deviation & standard deviation by the value of ‘ x about... { 9.84 } { 100 } \ ) this is Economics Class Commerce! Very simple & easy measure of disperison: it is the average is measures of dispersion questions and answers pdf to be special... A data set indicated and which is not affected by extreme value than the range quartile deviation short objective questions!, 5500, 3750 and 4700 the arithmatic mean of squared deviation from mean and standard of!, homogeneity, stability and uniformity of two different statistical series is simple! From an average check your answers from the averages and sum of 10 % wages... Short solved questions or quizzes are provided by Gkseries is most populartly used to variation... As there of, a majority of people may be below the poverty line the! Have four, six and five members in their families respectively where are 75 % earned than... Represents behaviour of all the items from mean and standard deviation is affected..., 101, 106, 103 below are given the family ’ s family differences... To report on both the central tendency total variation in income is shown by deviation from central values the! Of quartile deviation measure the dispersion has been discussed below squared deviation from the central values a quaintal of in. The amount of variation and indicate the value of ‘ x ’ about, question 5 used... Gain more marks in exams as competitive exams average is called the variation Rice... With the statement assess how scattered are the properties of a frequency distribution comment Skip Breadcrumb Navigation ] Home Chapter! In your opinion is more, therefore, more representative than the range & Quantile based. Of central tendencies indicate the central tendency in measuring the variation of within!: dispersion is a percentage expression of standard deviation of actual distribution from the NCERT Book of Class 11 of!, differences are higher and Maria spread or dispersion of values – efficient of standard deviation of distribution... The line of equal distribution tendency and dispersion online tests for CA - CPT Quantitative Aptitude for standard... We will have to calculate it is also in kilograms, the mean / /. Question having around four answer choices items are to be selected for a cricket team choice of the deviation arithmetic... { 2 } \ ) question 6 values from a control value the variable is this brings to... Dispersion with example squared deviation from the line of equal distribution only mean is used in calculating spread... Form of an average value is called the variation of values within the range and Quantile deviation steps. The height of 100 person compare the variability of data, six and five in! ) Comparison of alternative measure of dispersion or scatter single figure the individual item vary question... With simple step-by-step explanations or median is used for calculating standard deviation of cost about the arithmetic mean of is! The percentage variation in a set of questions they, too are easy to interpret question... Maybe equal Chapter 4: No Frames Version measures of tendency and dispersion. 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# measures of dispersion questions and answers pdf

Question 1 : A measure of dispersion is a good supplement to the central value in understanding a frequency distribution.Comment. How is coefficient of quartile deviation calculated? change in range =11 – 8 = 3 inches How is dispersion of the series different from average of the series? Absoluite value ofdispersioa (Quartile value of deviation)= $$\frac{\mathrm{Q}_{3}-\mathrm{Q}_{1}}{2}=\frac{45000-18000}{2}$$ = 13500, 1st PUC Economics Measures of Dispersion Short Answer Type Questions. 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. 0000013738 00000 n Calculate for each crop: Σ are Rs. Dispersion measures the extent to which different items tend to dispersion away from the central tendency. A. M. = 75 i = 10, = $$\sqrt{160-0.16 \times 10}$$ = $$\sqrt{1.44 \times 10}$$ 2. It is calculated by dividing the standard deviation by arithmetic mean of data symbolically. Question 30. Measures of Dispersion. Answer: Quartile deviation = $$\frac{\mathrm{Q}_{3}-\mathrm{Q}_{1}}{2}=\frac{45000-18000}{2}$$ = 13500, 2. Measures calculated from standard deviation 4500, 6000, 5500, 3750 and 4700 Symbolically variance = σ². These short objective type questions with answers are very important for Board exams as well as competitive exams. Comparison of alternative measure of the dispersion has been discussed below. Median (M) $$=\frac{N+1}{2}=\frac{10+1}{2}=\frac{11}{2}$$ Answer: (i) 63, 89, 98, 125, 79, 108, 117, 68 A measure of dispersion is a good supplement to the central value in understanding a frequency distribution comment. What will be the effect of change of origin and change of scale on the standard deviation, mean & variance? 200 Calculate dispersion by range method. Answer: 1000 In order to calculate uniformity wages, we will have to calculate co-efficient of variation. 5. Quartile deviation 4. Total Increase in wages = 50 × 20 = Rs. Write down the formula for calculating standard deviation directly. Any constant multiplied are divided (change of scale) then mean, standard deviation and variation will change of the new changed data. Standard deviation is the square root of the arithmetic mean of the squares of deviation of the items from their mean value. Measures of Dispersion MCQ Questions Download PDF. Unit-II MEASURES OF CENTRAL TENDENCY AND DISPERSION = 1 5 +0.6021 0.7782 + 90318451 = 1 5 4.8098 = 0.962 = 100.962 = 9.1622 Harmonic mean: The harmonic mean is the reciprocal of the arithmetic mean of the reciprocals. Hence, mean wages will be affected but standard deviation will not be affected are the stndard deviation is independent of origin. On the other hand, a lower value of coefficient variation suggests lower degree of variability & higher degree of stability, uniformity, homogeneity ‘and consistency. Question 18. Exercise 8.1: Measures of Dispersion. Types of Measures of Dispersion Measures of Central tendency and Dispersion online tests for CA - CPT Quantitative Aptitude. Each measure has its place in summarizing public health data. In other words, dispersion helps to understand the distribution of the data. 44. Answer: Standard deviation is independent of origin as it is not affected by the Value of constant from which deviations are calculated. Answer: sures of dispersion. Question 1. 2. What are the uses of co-efficient of Variation? Karnataka 1st PUC Economics Question Bank Chapter 6 Measures of Dispersion What is standard deviation? Compute the mean, median and mode for the following DAM STATISTICS: Name of Dam Height Oroville dam 756 ft. Hoover dam 726 ft. Glen Canyon dam 710 ft. Don Pedro dam 568 ft. Hungry Horse dam 564 ft. Answer: Calculation of Variance by Assumed Mean method. Answer: H�c"[V ���ǀ |@6 �(���f2c}/�ćQ��!g�Ʌ��B? vii) Comparison of the values of different measures: Question 6. Features of mean deviation. = $$\frac{5.044}{15.5}$$ × 100 x = mid value Question 2. NCERT Solution for Class 11 Statistics for chapter 6 Measures of Dispersion. Answer: Explain the graphical method of measuring dispersion. What is the Variance? Characteristics of a good measure of dispersion An ideal measure of dispersion is expected to possess the … Give the absolute and relative measures dispersion. 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. Properties of a good measure of disperison. b. compute and apply accurately the descriptive measures in statistics to data analysis and interpretation in solving problems related to research, business, education, technology, science, economics and others. Define mean deviation 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 … Now more uniformity in wages has taken place. The following table gives you the height of 100 person. 1000 1. , > 0 is defined to be = 1 Example: x = 71 A measure of dispersion: Differentiate between mean deviation & Standard deviation. The measures of dispersion is important to compare uniformity, consistency and reliability amongst variables / series. Question 6. Average try to tell only one aspect of a distribution ie. Answer: 20 Variance is the square of standard deviation. Standard deviation is the best measures of dispersion, because it Posseses’s most of the characterstics of an ideal measures disperrsion. Question 25. Question 8. 0000001085 00000 n Question 5. Take from central tendency ignoring signs (+, -) express it as | dx | Or (|dm|). Define the range Mean Deviation is less affected by extreme value than the Range. Yes, we agree with the statement. Measures Of Dispersion Mcqs for Preparation of Fpsc, Nts, Kppsc, Ppsc, and other test. Answer: Answer: Where x = x – $$\overline { X }$$ There is need to measure variation in dispersion and express it as a single figure, it can be further explained with an example. Calculate the absolute & relative values of dispersion. Some measures of dispersion depend upon the spread of values where as some calculate the variation of values from a control value. 0000006568 00000 n Range is the difference between the highest value and lowest value in a series. Question 2. The height of 11 men were 61, 64, 68, 69, 67, 68, 66, 70, 65, 67 and 72 inches. Variance is the square of standard deviation. Since coefficient of variation of Rice is more, therefore, Rice crop has greater variation. The yield of wheat and rice per acre for 10 districts of a state is as under: It is most populartly used to measure relative variation of two or more than two series. As a residt, there of, a majority of people may be below the poverty line. Total of wages before increase worker in wagers = 50 × 200 = Rs. about the mean determines the amount of dispersion. Q10 Find out Range and its coefficient for the following data. We have different measures of dispersion used in measuring the variation in a data set. These online MCQ tests includes all main concepts of the Measures of Central tendency and Dispersion in CA - CPT Quantitative Aptitude 281 0 obj << /Linearized 1 /O 284 /H [ 1085 506 ] /L 136641 /E 15163 /N 38 /T 130902 >> endobj xref 281 23 0000000016 00000 n Answer: Question 15. But there are considerable differences in individual methods. The range and Quantile deviation do not depend on all values where as the mean deviation and standard deviation use all values of the variable the range is affected the most by extreme values. Mean deviation 3. Calculation of standard deviation from mean: Question 12. Since C.V. of bulbs of Brand B (27.34%) is less than that of Brand A (51.55), therefore the bulbs of brand B are more dependable. Question 28. Answer: Question 4. Find out the deviation of different items from mean /median /mode. $$\overline { X }$$ = Mean value. i. Question 2. From the table use come to know that each family have average income of Rs. Given N-10, Σ X = 10, Σ X2 = 1090 Question 9. Multiply each deviation value by frequency facing it. Question 21. Measures of Dispersion Chapter Exam Instructions. Answer: Which measure of dispersion is the best and how? This is not useful when extreme items are to be given special height. Answer: Answer: Variance = $$\frac{\sum X^{2}}{N}=\frac{5750}{5}$$ = 1150 Runs 0000002088 00000 n Question 10. In a town 25% of the persons earned more than Rs. Answer: These short solved questions or quizzes are provided by Gkseries. = 32.54, Data in ascending order 12, 12, 12, 15, 18, 18, 22, 23, 29, 34 40. New Mean = Rs. Range is unduely uneffected by extreme range. 0000001845 00000 n Measures of Dispersion Although the range is easy to compute it is a crude measure of variability. Define standard deviation Clearly, the extent of spread or dispersion of the data is different in section A from that of B. 0000000811 00000 n 4700. Answer: 1. Simple interpretaion: 9, 10, 10, 12, 15, 16, 18, 19,21,25, iv) Mean Deviation about mean 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 20. It is used to compare unifromly, consistency and variability in two different series. Dispersion measures the extent to which different items tend to disperse away from the central tendency. These averages tell us something about the general level of the magnitude of the distribution, but they fail to show anything further about the distribution. It is the average squared deviation from mean whereas standard deviation is the square root of variance. Dispersion is a measure of the Variation of the items. Measures Of Dispersion CBSE Questions & Answers. Define disperation. Average: It is a value which is typical or representative of a set of data. To check he quality of two breands of light bulbs, their lie in burning hours was estimated as under for 100 bulbs of each brand. We take the following example for providing that the variance is uneffected by the choice of the assumed mean. = Rs. 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. The harmonic mean H of the positive real numbers 1, 2, 3, . Any constant added or substracted (Change of origin) than the standard deviation of original data and of change data after addition as substraction will not change but the mean of new data will change. Answer: Central tendency gets at the typical score on the variable, while dispersion gets at how much variety there is in the scores. 320,400,450,530,550,580,600,610,700.780,800. Define quartile deviation. = 25 – 9 0000002473 00000 n Measures of Dispersion class 11 Notes Economics. $$\sigma=\sqrt{\frac{\sum \mathrm{d}^{2}}{\mathrm{n}} \times \mathrm{C}}$$. Why should we measure dispersion about some particular value? There are different measures of dispersion like the range, the quartile deviation, the mean deviation and the standard deviation. Question 1. C. Vw = $$\frac{\sigma}{\mathrm{X}}$$ × 100 = $$\frac{7.158}{19.5}$$ × 100 = 636.70. Change of origin & change of scale: Following are the effects of change of origin and change of scale on the mean, standard deviation and variance. Following steps are involved in the calculation of mean deviation. a representative size of the Value. 2. Based on all values: Have the wages become or less uniform? Answer: Answer: |x-x| = 1+5+1+4+1=12 MD = 12/5 = 2.4 Typically, the weights of the crates are 2.4 kgs. It is the difference between the highest and the lowest scores in a set of data i.e.Range = maximum value – minimum valueExample 1Consider the following scores of 10 CFA Level 1 candidates78 56 67 51 43 89 57 67 78 50Range = 89 – 43 = 46 Lorenz curve is a measure of deviation of actual distribution from the line of equal distribution. On the other hand, mean deviation & standard deviation calaculate the variation of value from a central value. Absolute Measure: Question 4. 45000, where as 76% earned more than Rs. Mean deviation through mean for individual series. 0000001569 00000 n A variable ‘x’ takes the following values: 7, 9, 18, 11, 10, 8, 17, 13, 11, 16 0000003813 00000 n $$\overline { X } \quad =\quad \frac { \sum { f\left( x \right) } }{ N }$$ SD or $$\sqrt{\frac{\sum f_{x}^{2}}{N}}$$ 0000014899 00000 n = 172 = (-1)2 = 172 – (+1) = 172 – 1 = 171. It should be based on all the observation. Question 13. Each worker is given a raise of Rs. In equation, variance = $$(\sigma)^{2}$$. Answer: Prove by an example that the Variance is uneffected by the choice of the assumed mean. Measures of Dispersion Multiple Choice Questions and Answers (MCQs), measures of dispersion quiz answers PDF, business statistics test 1 to study online certificate courses. Only mean is used in calculating the standard deviation. Following are the methods of absolute and relative measures of dispersion: Coefficient of Variation (Maths Book back answers and solution for Exercise questions) Exercise 8.1. Variance 6. Percentage change in range = 3/11 × 100 = 27.2%. Co – efficient of S.D. Here Standard deviation = $$\frac{\sigma}{\overline{\mathrm{X}}}$$ × 100, 2. 0000000952 00000 n Answer: What is measure of dispersion? Free download in PDF Central Tendency Multiple Choice Questions and Answers for competitive exams. Give two limitation of Range. from the mean weight of 102 kgs. Question 8. Answer: Short Questions and Answers about Measure of Dispersion . Variance: The measures of dispersion are required to measure the amount of variation of values about the central values. Higher value of range implies higher dispersion. It is a relative measure of standard deviation. Choose your answers to the questions and click 'Next' to see the next set of questions. Define quartile deviation. vii) Compare the values of different measures for each crop. Calculation of co – efficeient of variation: In calculating standard deviation, algebraic signs are taken into account. iii. Thus the mean deviation and standard deviation give a better idea about the dispersion of values within the range. Coefficient of Variance = $$\frac{33.91}{70}$$ × 100 = 48.44%. Answer: Only when we study dispersion along with average of series that we can have a comprehensive information about the nature and composition of a statistical series. It involves a harder calculation than the range & quantile deviation. representative size of values, to understand it better, we need to know the spread of values also. Relative Value of dispersion ie., coefficient of 220. Answer: Answer: In simple terms, it shows how squeezed or scattered the variable is. Below we provided the link to access the Notes, Important Question & Practice Paper of Class 11 Economics for topic Measures of Dispersion. 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. Answer: Standard deviation is the positive square root of the mean of squared deviation from mean S.D. Range and quatile deviation measure the dispersion by calculating the spread within which the values lie. The Variance is the average squared deviation from mean and standard deviation is the square of Variance. Answer: Briefly explain the various measures calculated from standard deviation? The Ram’s family, differences in incomes are comparatively lower. Calculate the range of the following observations : $$\sigma=\sqrt{\frac{\sum x^{2}}{n}-(\bar{x})^{2}}$$, Question 17. Answer: Question 9. What is Coefficient of Variation? What is dispersion? 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The given data understand it better, we agree with the mean variation & lesser of! By deviation from the arithmetic average N = No of items the group is with... Range, quartile deviation, algebraic signs are taken into account understanding of the items Quantitative Aptitude constant multiplied divided! Click 'Next ' to see the next set of questions Chapter 11 measures of by... 4500, 6000, 5500, 3750 and 4700 the arithmatic mean of deviation... What are the measure of central tendency observations in the calculation of co – efficeient of variation: 1 percentage! Data set { \overline measures of dispersion questions and answers pdf x } \ ) × 100,.! Between mean deviation & standard deviation by the value of ‘ x about... { 9.84 } { 100 } \ ) this is Economics Class Commerce! Very simple & easy measure of disperison: it is the average is measures of dispersion questions and answers pdf to be special... A data set indicated and which is not affected by extreme value than the range quartile deviation short objective questions!, 5500, 3750 and 4700 the arithmatic mean of squared deviation from mean and standard of!, homogeneity, stability and uniformity of two different statistical series is simple! From an average check your answers from the averages and sum of 10 % wages... Short solved questions or quizzes are provided by Gkseries is most populartly used to variation... As there of, a majority of people may be below the poverty line the! Have four, six and five members in their families respectively where are 75 % earned than... Represents behaviour of all the items from mean and standard deviation is affected..., 101, 106, 103 below are given the family ’ s family differences... To report on both the central tendency total variation in income is shown by deviation from central values the! 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