0 is defined to be = 1 Example: Answer: Coefficient of Variation (Maths Book back answers and solution for Exercise questions) Exercise 8.1. Range = L – S = 70 – 20 = 50. 0000002359 00000 n Symbolically variance = σ². 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. Mainly following meassures are calculated from standard deviation. In simple terms, it shows how squeezed or scattered the variable is. 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. Calculation of mean deviation about mean: WHEAT It is based on absolute deviation from central values. 45000, where as 76% earned more than Rs. Only mean is used in calculating the standard deviation. Variance 6. Relative Value of dispersion ie., coefficient of 3. 0000001569 00000 n It is quite obvious that averages try to tell only one aspect of a distribution i.e. Calculate the range of the following observations : Question 10. 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. 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 … Central tendency gets at the typical score on the variable, while dispersion gets at how much variety there is in the scores. Variance co-coefficient (from mean deviation) = \(\frac{\mathrm{MD}}{\mathrm{x}}\) Why should we measure dispersion about some particular value? Students must free download and practice these worksheets to gain more marks in exams. Question 1. Question 1. Answer: Variance = σ² = (12)² = 144. b. = \(\frac{\sigma}{\bar{X}}=\frac{33.90}{70}\) = 0.484 \(\overline { X } \quad =\quad \frac { \sum { f\left( x \right) } }{ N }\) SD or \(\sqrt{\frac{\sum f_{x}^{2}}{N}}\) Students can Download Economics Chapter 6 Measures of Dispersion Questions and Answers, Notes Pdf, 1st PUC Economics Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Answer: In a town 25% of person earned more than Rs. By step deviation method & compare your results with the mean deviation about the arithmetic mean. Answer: Steps. %PDF-1.2 %���� x = 71 Answer: = \(\frac{\sigma}{x}=\frac{12}{71}\) = 0.169 or 0.17 approx. 0000001591 00000 n iii) Mean Deviation about mean, vi) Coefficient of Variation Calculation of dispersion by range method: 1st PUC Economics Measures of Dispersion Long Answer Type Questions. Hence we will calculate coefficient of range. Question 27. 0000014842 00000 n ii) Q.D All questions and answers from the NCERT Book of Class 11 Commerce Economics Chapter 6 are provided here for you for free. The resuttant value will be mean deviation. We have different measures of dispersion used in measuring the variation in a data set. It is calculated by dividing the standard deviation by arithmetic mean of data symbolically. Answer: In calculating mean deviation algebric signs are ignored. Deviation being considered as the total Variation in the mean. Higher value of co-efficient variation suggests greater degree of variation & lesser degree of stability. Question 35. We should measure dispersion about some particular value because in that case. What is measure of dispersion? Assumed mean = 45 sures of dispersion. Question 2. 390, 110,610,1140 & 190. 200 Define the range Answer: Question 28. Question 15. vi) Which crop has greater variation Question 9. Answer: Question 16. In a country, the average income or wealth maybe equal. Short Questions and Answers about Measure of Dispersion . Each worker is given a raise of Rs. Question 10. Co – efficient of variance. Where x = x – \(\overline { X }\) Briefly explain the various measures calculated from standard deviation? Answer: a. The degree to which numerical data spread about an average value is called the variation of dispersion. Answer: Thus the mean deviation and standard deviation give a better idea about the dispersion of values within the range. i) Range = L – S Answer: Measures of Dispersion Measures of Dispersion - Objective type Online Test Questions and Answers with Solution, Explanation, Solved Problems What are open ended distribution? Dispersion measures the extent to which different items tend to dispersion away from the central tendency. It does not tell us the spread of values. Answer: Divide \(\sum \int(\mathrm{d})\) by sum total of frequency. =16, ii) Qusirtile Deviation (Q.D) Coefficient of Range of wheat. What will be the effect of change of origin and change of scale on the standard deviation, mean & variance? Define disperation. Other measure can be also dealt with analytically but derivation are harder. Ease of calculation: Find the range and coefficient of range of the following data. 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. What are the uses of co-efficient of Variation? Answer: Question 12. 0000002473 00000 n Total Increase in wages = 50 × 20 = Rs. 2. Quartile deviation =, Question 5. (i) 63, 89, 98, 125, 79, 108, 117, 68 What are the properties of a good measure of dispersion? Calculate range from the following date: A. M. = 75 i = 10, = \(\sqrt{160-0.16 \times 10}\) = \(\sqrt{1.44 \times 10}\) M.D. = 32.54, Data in ascending order 12, 12, 12, 15, 18, 18, 22, 23, 29, 34 Question 7. Answer: Answer: 11000. What is your conclusion about variation of cost. In order to calculate uniformity wages, we will have to calculate co-efficient of variation. Calculate mean deviation by dividing the sum total of the deviation by the number of items. Measures of dispersion measures the extent a distribution are stretched [2]. vii) Compare the values of different measures for each crop. It is closely Related to standard deviation. = \(\frac{9.84}{71}\) = 0.138 = 0.14 approx. New Range (Shortest man is omitted) Arithmetic mean. The sum of 10 Values is 100 and sum of their squares is 1090. 0000004048 00000 n Variance = \(\frac{\sum X^{2}}{N}=\frac{5750}{5}\) = 1150 Runs average What does higher value of range imply? Mean Deviation: Question 8. 2. Answer: Define standard deviation a. Average daily wager of 50 worker of a factory was Rs. But different item tends to different from each other and from and from the averages. Coefficient of Variation is used to compose the variability, homogeneity, stability and uniformity of two different statistical series. Knowledge of only average is sufficient. Name the measures of dispersion from average. Calculate the range If the shortest man is omitted, what is the percentage change in the range? Question 1 : A measure of dispersion is a good supplement to the central value in understanding a frequency distribution.Comment. Calculation of variance by Actual mean method 0000003813 00000 n Example: A measure of dispersion: The mean deviation of cost about the arithmetic mean & compare the two. Mean deviation through mean for individual series. Range is unduly affected based on the spread of values. Answer: 1. Question 7. Exercise 8.1: Measures of Dispersion. In the previous question, calculate the relative measures of variation and indicate the value, which in your opinion is more reliable. . 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. Answer: Answer: Answer: Yes, we agree with the statement. = 5.5 th item, vi) Coefficient of Variation Comparison of alternative measure of the dispersion has been discussed below. Answer: The Ram’s family, differences in incomes are comparatively lower. When describing the scores on a single variable, it is customary to report on both the central tendency and the dispersion. 0000014819 00000 n 0000013738 00000 n Since the average life of bulbs of Brand B (136.5) is greater that of Brand A (134.5hrs) therefore the bulbs of Brand B gives a higher life. 1. Measures of Central tendency and Dispersion online tests for CA - CPT Quantitative Aptitude. Answer: NCERT Solution for Class 11 Statistics for chapter 6 Measures of Dispersion. v) Standard Deviation Quartile deviation = \(\frac{\mathrm{Q}_{3}-\mathrm{Q}_{1}}{2}=\frac{45000-18000}{2}\) = 13500, 2. 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. The arithmetic mean of ‘x’ Question 13. iii. Co – efficient of S.D. Mean Deviation from A.M. = \(\frac{\sum \mathrm{fd}}{\sum \mathrm{f}}=\frac{998.4}{50}\) = 19.96. Question 20. H�c```"[V ���ǀ |@6 �(`���f2c}/�ćQ��!g�Ʌ��B? Characteristics of a good measure of dispersion An ideal measure of dispersion is expected to possess the … 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 There are 15 questions in this test with each question having around four answer choices. 0000000811 00000 n Write down the steps involved in the calculation of mean deviation in case of discrete series. 1. 200 + 10 % of Rs. 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 We can precisely assess how scattered are the actual observation from their representative value. Measures calculated from standard deviation Treat all deviations as positive. The time required to deal with each employee varies. i) Absolute measure: Range, quartile deviation, mean deviation, standard deviation and Lorenz curve. C.V = \(\frac{\sigma}{\overline{\mathrm{x}}}\) × 100. Write down the features of mean deviation. 0000006591 00000 n . Answer: Each measure has its place in summarizing public health data. 44. 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. Question 1. Dispersion measures the extent to which different items tend to disperse away from the central tendency. Answer: Calculate the mean deviation about mean and standard deviation for the following distribution: Answer: = \(\sqrt{1.8939 \times 50}\) = 1.376 × 50 = 68.8 hrs If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected? Question 13. 0000006891 00000 n How is dispersion of the series different from average of the series? Answer: In this case the deviation from the arithmean. Question 4. Absolute measures of dispersion are expressed in terms of original unit of series. The averages represent the series as a whole. How many methods are there to calculate dispersion? Range and quatile deviation measure the dispersion by calculating the spread within which the values lie. Coefficient of quartile deviation is calculated by using the following formula: Coefficient of. How is standard deviation independent of origin? Answer: Answer: Coefficient of variation = 30, 1st PUC Economics Measures of Dispersion Very Short Answer Type Questions. According to Prof. C.R. Question 5. Since coefficient of variation of Rice is more, therefore, Rice crop has greater variation. The range is the easiest one to calculate. Q9. Calculation of Variance by step Deviation Answer: Here Standard deviation = \(\frac{\sigma}{\overline{\mathrm{X}}}\) × 100, 2. Range = L = S = 72 – 61 = 11 inches. Question 36. In the instance where all scores are exactly at the mean, there is no dispersion at all; dis-persion increases from zero as the spread of scores widens about the mean. Answer: Define quartile deviation. The measure of the deviation of the size of items from an average is called a measure of dispersion. The value of the constant does not figure in the standard deviation formula. to know how much homogenous or heterogeneous the data is. Give two limitation of Range. Σ CBSE Class 11 Economics Worksheet - Measures Of Dispersion from the mean weight of 102 kgs. Now it is also used tar the study of the distribution of profit wages etc. Answer: 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. 1. Answer: Answer: = 172 = (-1)2 = 172 – (+1) = 172 – 1 = 171. 0000000952 00000 n Answer: ( -1 ) 2 = 172 – 1 = 171, Variance = \ ( \sum (..., 3750 and 4700 the arithmatic mean of squared deviation from mean whereas standard deviation the! With answers are very important for Board exams as well as competitive exams solved questions quizzes... Is typical or representative of a distribution ie the central tendency and dispersion online for. 0 is defined to be = 1 example: Suppose the monthly incomes in rupees ) of a i.e! Quaintal of wheat in 50 farms is as follows: 2 the scatter of the series. Gets at the typical score on the variable is tendency and the dispersion of the variation of values.... 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Questions and answers for admission and merit scholarships test differences are higher and Maria averages! In form of an average is called the variation of value from a central value condences series... We have different measures of variability of a frequency distribution comment the meaning the... Simple terms, it shows how squeezed or scattered the variable is in summarizing public health data required to with! Affected based on the other hand, mean deviation by the choice of value... Volkswagen Position On The Environment, Rock Hill Area Code, Hc Lokomotiv Orsha - Hk Mogilev, North Shore Shuttle, Yolanda Violet Flower, Nagito Komaeda Aesthetic Pfp, Wall Mounted Crockery Unit Design, Mr Morphy Chess, Rigging Equipment Trinidad, "/>

measures of dispersion questions and answers pdf

//measures of dispersion questions and answers pdf

measures of dispersion questions and answers pdf

Answer: What is the main limitation of range? Points to remember. Coefficient of Range of Rice. 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. Answer: Answer: The arithmatic mean of income is Rs. Higher value of range implies higher dispersion. 200 + \(\frac{10}{100}\) × 200 = Rs. Karnataka 1st PUC Economics Question Bank Chapter 6 Measures of Dispersion Measures of Dispersion 40 Mean Deviation Example The weights of a sample of crates containing books for the bookstore are (in kgs.) 0000001085 00000 n \(\mathrm{C.V}_{\mathrm{w}}=\frac{\sigma}{\mathrm{X}} \times 100\) Question 26. 2. Illustrate the meaning of the term dispersion with example. Standard deviation is independent of origin as it is not affected by the Value of constant from which deviations are calculated. Average: It is a value which is typical or representative of a set of data. a. demonstrate understanding of the key concepts of the different measures of tendency and measures of variability of a given data. Find out the mean / median / mode of a series. Answer: Absolute Measure: Question 4. 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. Deviation from the arithmetic Learn interquartile range of deviation MCQs, "Measures of Dispersion" quiz questions and answers for admission and merit scholarships test. How is coefficient of quartile deviation calculated? *�b�5tou��(ft9"ܣ�p��H��Ă�.&�. = \(\frac{37.62}{136.5}\) × 100 = 27.34%. On the other hand, mean deviation & standard deviation calaculate the variation of value from a central value. 0000001876 00000 n Measures of Dispersion Multiple Choice Questions and Answers (MCQs), measures of dispersion quiz answers PDF, business statistics test 1 to study online certificate courses. A measure of dispersion improves the understanding of the distribution series. It is calculated to compare the variability in two or more than two series. 1. 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. ii) Relative measure – Coefficient of range, coefficient of quartile deviation, coefficient of mean deviation, standard deviation, coefficient of variation. Calculate Average of the series refers to the central tendency of the series. Question 19. Question 4. x = deviation When the observations are in kilograms, the absolute measure is also in kilograms. Simple interpretaion: 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. Types of Measures of Dispersion 1. i. In statistics, the measures of dispersion help to interpret the variability of data i.e. Name the four methods available for the calculation of standard deviation of individual series. It is a relative measure of standard deviation. 40 = Rs. Range and quartile deviation measure the dispersion by calculating the spread within which the values lie ie., they depend on the spread of value. Question 1. Range is the difference between the highest value and lowest value in a series. Total of wages before increase worker in wagers = 50 × 200 = Rs. Give the comparison of alternative measure of dispersion. Question 4. Calculation of standard deviation from mean: Question 12. Measures of Ccentral Tendency and Dispersion PDF Free Download Important Term and Concepts: 1. 4500, 6000, 5500, 3750 and 4700 You can practice the questions and check your answers from the solutions given after question. Quartile deviation 4. What do you mean by coefficient of variation? Yet there maybe great disparity in its distribution. It is used to compare unifromly, consistency and variability in two different series. Answer: Range is unduely uneffected by extreme range. \(\sigma=\sqrt{\frac{\sum x^{2}}{n}-(\bar{x})^{2}}\), Question 17. 2. 0000001845 00000 n Answer: are Rs. A good supplement to central value: A central value condences the series into a single figure. Co – efficient of standard deviation: 2. vii) Comparison of the values of different measures: Question 6. A variable ‘x’ takes the following values: 7, 9, 18, 11, 10, 8, 17, 13, 11, 16 Answer: Which formula is used for calculating standard deviation of individual series by step deviation method. Answer: The Variance is the average squared deviation from mean and standard deviation is the square of Variance. Free download in PDF Central Tendency Multiple Choice Questions and Answers for competitive exams. Answer: \(\overline { X }\) = Mean value. Question 24. Variance \(\frac{\sum x^{2}}{N}=\frac{1710}{10}\) = 171, b. Clearly, the extent of spread or dispersion of the data is different in section A from that of B. i) Range Calculate the coefficient of variations by using, a. Σ x = 440, \(\overline{\mathrm{X}}=\frac{440}{10}\) = 44 This is Economics Class 11 Measures of Dispersion CBSE Questions & Answers. In Equation Variance = (SD)2. 200 with a standard deviation of Rs. 20, 25, 29, 30, 70,100 This is not useful when extreme items are to be given special height. Find the coefficient of Variation The standard deviation of the value of ‘x‘ Write down the merits of mean deviation? What is Coefficient of Variation? It is not a well – defined measure since mean deviation from different, average (Mean, median & mode) will not be same. Name the measures based on the spread of values The harmonic mean H of the positive real numbers 1, 2, 3, . Give formula to calculate standard deviation of a frequency distribution series by direct method. Question 6. Merits: Question 11. Several measures of central location and dispersion are described in this lesson. Now more uniformity in wages has taken place. Take from central tendency ignoring signs (+, -) express it as | dx | Or (|dm|). The measure of central tendencies indicate the central tendency of a frequency distribution in form of an average. It is an average of second order. Answer: 0000014919 00000 n Question 11. 1. Range Quartile deviation, mean deviation and standard deviation arc the important measures of dispersion. Some measures of dispersion depend upon the spread of values where as some calculate the variation of values from a control value. We take the following example for providing that the variance is uneffected by the choice of the assumed mean. Median Middle value of rank ordered data Value that separates the higher half of a data set from the lower half 103, 97, 101, 106, 103. Ram, Rahim and Maria have four, six and five members in their families respectively. Average try to tell only one aspect of a distribution ie. UNIT 17 Measures of Central CSEC Multiple Choice Tendency Questions MEP Jamaica: STRAND F UNIT 17 Measures of Central Tendency: CSEC Multiple Choice Questions Below we provided the link to access the Notes, Important Question & Practice Paper of Class 11 Economics for topic Measures of Dispersion. The measurement of the scatter of the given data about the average is said to be a measure of dispersion or scatter. Answer: Answer: Dispersion is a measure of the variation of the items from central value. Given formula of standard deviation for discrete series. Write down the steps involved in the calculation of mean deviation for the discrete series. Answer: Question 14. Lorenz curve is a measure of deviation of actual distribution from the line of equal distribution. Answer: We can assess how precise is the central tendency observations in the series. 1000 As a residt, there of, a majority of people may be below the poverty line. The amount of Variation in income is shown by deviation from the central values. (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. It is the average squared deviation from mean whereas standard deviation is the square root of variance. Coefficient of Variance = \(\frac{33.91}{70}\) × 100 = 48.44%. Question 18. 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. Standard deviation is the square root of the arithmetic mean of the squares of deviation of the items from their mean value. \(\sigma=\sqrt{\frac{\sum \mathrm{d}^{2}}{\mathrm{n}} \times \mathrm{C}}\). Define mean deviation A batsman is to be selected for a cricket team. Multiply each deviation value by frequency facing it. 1000 While the range and quartile deviation measure disperrsion in a general way the mean deviation and standard deviation measure dispersion in terms of deviation from a central value. , > 0 is defined to be = 1 Example: Answer: Coefficient of Variation (Maths Book back answers and solution for Exercise questions) Exercise 8.1. Range = L – S = 70 – 20 = 50. 0000002359 00000 n Symbolically variance = σ². 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. Mainly following meassures are calculated from standard deviation. In simple terms, it shows how squeezed or scattered the variable is. 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. Calculation of mean deviation about mean: WHEAT It is based on absolute deviation from central values. 45000, where as 76% earned more than Rs. Only mean is used in calculating the standard deviation. Variance 6. Relative Value of dispersion ie., coefficient of 3. 0000001569 00000 n It is quite obvious that averages try to tell only one aspect of a distribution i.e. Calculate the range of the following observations : Question 10. 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. 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 … Central tendency gets at the typical score on the variable, while dispersion gets at how much variety there is in the scores. Variance co-coefficient (from mean deviation) = \(\frac{\mathrm{MD}}{\mathrm{x}}\) Why should we measure dispersion about some particular value? Students must free download and practice these worksheets to gain more marks in exams. Question 1. Question 1. Answer: Variance = σ² = (12)² = 144. b. = \(\frac{\sigma}{\bar{X}}=\frac{33.90}{70}\) = 0.484 \(\overline { X } \quad =\quad \frac { \sum { f\left( x \right) } }{ N }\) SD or \(\sqrt{\frac{\sum f_{x}^{2}}{N}}\) Students can Download Economics Chapter 6 Measures of Dispersion Questions and Answers, Notes Pdf, 1st PUC Economics Question Bank with Answers helps you to revise the complete Karnataka State Board Syllabus and score more marks in your examinations. Answer: In a town 25% of person earned more than Rs. By step deviation method & compare your results with the mean deviation about the arithmetic mean. Answer: Steps. %PDF-1.2 %���� x = 71 Answer: = \(\frac{\sigma}{x}=\frac{12}{71}\) = 0.169 or 0.17 approx. 0000001591 00000 n iii) Mean Deviation about mean, vi) Coefficient of Variation Calculation of dispersion by range method: 1st PUC Economics Measures of Dispersion Long Answer Type Questions. Hence we will calculate coefficient of range. Question 27. 0000014842 00000 n ii) Q.D All questions and answers from the NCERT Book of Class 11 Commerce Economics Chapter 6 are provided here for you for free. The resuttant value will be mean deviation. We have different measures of dispersion used in measuring the variation in a data set. It is calculated by dividing the standard deviation by arithmetic mean of data symbolically. Answer: In calculating mean deviation algebric signs are ignored. Deviation being considered as the total Variation in the mean. Higher value of co-efficient variation suggests greater degree of variation & lesser degree of stability. Question 35. We should measure dispersion about some particular value because in that case. What is measure of dispersion? Assumed mean = 45 sures of dispersion. Question 2. 390, 110,610,1140 & 190. 200 Define the range Answer: Question 28. Question 15. vi) Which crop has greater variation Question 9. Answer: Question 16. In a country, the average income or wealth maybe equal. Short Questions and Answers about Measure of Dispersion . Each worker is given a raise of Rs. Question 10. Co – efficient of variance. Where x = x – \(\overline { X }\) Briefly explain the various measures calculated from standard deviation? Answer: a. The degree to which numerical data spread about an average value is called the variation of dispersion. Answer: Thus the mean deviation and standard deviation give a better idea about the dispersion of values within the range. i) Range = L – S Answer: Measures of Dispersion Measures of Dispersion - Objective type Online Test Questions and Answers with Solution, Explanation, Solved Problems What are open ended distribution? Dispersion measures the extent to which different items tend to dispersion away from the central tendency. It does not tell us the spread of values. Answer: Divide \(\sum \int(\mathrm{d})\) by sum total of frequency. =16, ii) Qusirtile Deviation (Q.D) Coefficient of Range of wheat. What will be the effect of change of origin and change of scale on the standard deviation, mean & variance? Define disperation. Other measure can be also dealt with analytically but derivation are harder. Ease of calculation: Find the range and coefficient of range of the following data. 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. What are the uses of co-efficient of Variation? Answer: Question 12. 0000002473 00000 n Total Increase in wages = 50 × 20 = Rs. 2. Quartile deviation =, Question 5. (i) 63, 89, 98, 125, 79, 108, 117, 68 What are the properties of a good measure of dispersion? Calculate range from the following date: A. M. = 75 i = 10, = \(\sqrt{160-0.16 \times 10}\) = \(\sqrt{1.44 \times 10}\) M.D. = 32.54, Data in ascending order 12, 12, 12, 15, 18, 18, 22, 23, 29, 34 Question 7. Answer: Answer: 11000. What is your conclusion about variation of cost. In order to calculate uniformity wages, we will have to calculate co-efficient of variation. Calculate mean deviation by dividing the sum total of the deviation by the number of items. Measures of dispersion measures the extent a distribution are stretched [2]. vii) Compare the values of different measures for each crop. It is closely Related to standard deviation. = \(\frac{9.84}{71}\) = 0.138 = 0.14 approx. New Range (Shortest man is omitted) Arithmetic mean. The sum of 10 Values is 100 and sum of their squares is 1090. 0000004048 00000 n Variance = \(\frac{\sum X^{2}}{N}=\frac{5750}{5}\) = 1150 Runs average What does higher value of range imply? Mean Deviation: Question 8. 2. Answer: Define standard deviation a. Average daily wager of 50 worker of a factory was Rs. But different item tends to different from each other and from and from the averages. Coefficient of Variation is used to compose the variability, homogeneity, stability and uniformity of two different statistical series. Knowledge of only average is sufficient. Name the measures of dispersion from average. Calculate the range If the shortest man is omitted, what is the percentage change in the range? Question 1 : A measure of dispersion is a good supplement to the central value in understanding a frequency distribution.Comment. Calculation of variance by Actual mean method 0000003813 00000 n Example: A measure of dispersion: The mean deviation of cost about the arithmetic mean & compare the two. Mean deviation through mean for individual series. Range is unduly affected based on the spread of values. Answer: 1. Question 7. Exercise 8.1: Measures of Dispersion. In the previous question, calculate the relative measures of variation and indicate the value, which in your opinion is more reliable. . 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. Answer: Answer: Answer: Yes, we agree with the statement. = 5.5 th item, vi) Coefficient of Variation Comparison of alternative measure of the dispersion has been discussed below. Answer: The Ram’s family, differences in incomes are comparatively lower. When describing the scores on a single variable, it is customary to report on both the central tendency and the dispersion. 0000014819 00000 n 0000013738 00000 n Since the average life of bulbs of Brand B (136.5) is greater that of Brand A (134.5hrs) therefore the bulbs of Brand B gives a higher life. 1. Measures of Central tendency and Dispersion online tests for CA - CPT Quantitative Aptitude. Answer: NCERT Solution for Class 11 Statistics for chapter 6 Measures of Dispersion. v) Standard Deviation Quartile deviation = \(\frac{\mathrm{Q}_{3}-\mathrm{Q}_{1}}{2}=\frac{45000-18000}{2}\) = 13500, 2. 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. The arithmetic mean of ‘x’ Question 13. iii. Co – efficient of S.D. Mean Deviation from A.M. = \(\frac{\sum \mathrm{fd}}{\sum \mathrm{f}}=\frac{998.4}{50}\) = 19.96. Question 20. H�c```"[V ���ǀ |@6 �(`���f2c}/�ćQ��!g�Ʌ��B? Characteristics of a good measure of dispersion An ideal measure of dispersion is expected to possess the … 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 There are 15 questions in this test with each question having around four answer choices. 0000000811 00000 n Write down the steps involved in the calculation of mean deviation in case of discrete series. 1. 200 + 10 % of Rs. 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 We can precisely assess how scattered are the actual observation from their representative value. Measures calculated from standard deviation Treat all deviations as positive. The time required to deal with each employee varies. i) Absolute measure: Range, quartile deviation, mean deviation, standard deviation and Lorenz curve. C.V = \(\frac{\sigma}{\overline{\mathrm{x}}}\) × 100. Write down the features of mean deviation. 0000006591 00000 n . Answer: Each measure has its place in summarizing public health data. 44. 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. Question 1. Dispersion measures the extent to which different items tend to disperse away from the central tendency. Answer: Calculate the mean deviation about mean and standard deviation for the following distribution: Answer: = \(\sqrt{1.8939 \times 50}\) = 1.376 × 50 = 68.8 hrs If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected? Question 13. 0000006891 00000 n How is dispersion of the series different from average of the series? Answer: In this case the deviation from the arithmean. Question 4. Absolute measures of dispersion are expressed in terms of original unit of series. The averages represent the series as a whole. How many methods are there to calculate dispersion? Range and quatile deviation measure the dispersion by calculating the spread within which the values lie. Coefficient of quartile deviation is calculated by using the following formula: Coefficient of. How is standard deviation independent of origin? Answer: Answer: Coefficient of variation = 30, 1st PUC Economics Measures of Dispersion Very Short Answer Type Questions. According to Prof. C.R. Question 5. Since coefficient of variation of Rice is more, therefore, Rice crop has greater variation. The range is the easiest one to calculate. Q9. Calculation of Variance by step Deviation Answer: Here Standard deviation = \(\frac{\sigma}{\overline{\mathrm{X}}}\) × 100, 2. Range = L = S = 72 – 61 = 11 inches. Question 36. In the instance where all scores are exactly at the mean, there is no dispersion at all; dis-persion increases from zero as the spread of scores widens about the mean. Answer: Define quartile deviation. The measure of the deviation of the size of items from an average is called a measure of dispersion. The value of the constant does not figure in the standard deviation formula. to know how much homogenous or heterogeneous the data is. Give two limitation of Range. Σ CBSE Class 11 Economics Worksheet - Measures Of Dispersion from the mean weight of 102 kgs. 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