It is not a well – defined measure since mean deviation from different, average (Mean, median & mode) will not be same. What is the difference between Variance and standard deviation? v) Standard Deviation a. Higher value of co-efficient variation suggests greater degree of variation & lesser degree of stability. 40. It is quite satisfactory when only the middle half of the group is dealt with. Characteristics of a good measure of dispersion An ideal measure of dispersion is expected to possess the … It is very simple & easy measure of dispersion. 0000001876 00000 n Measures of Dispersion Chapter Exam Instructions. Coefficient of Range of Rice. How do Range and Quartile deviation measure the dispersion? Answer: = \(\sqrt{1.8939 \times 50}\) = 1.376 × 50 = 68.8 hrs x = 71 We have different measures of dispersion used in measuring the variation in a data set. Standard deviation is the square root of the arithmetic mean of the squares of deviation of the items from their mean value. CVA = \(\frac{\sigma A}{\bar{X} A}\) × 100 = \(\frac{68.8}{134.5}\) × 100 CVA = 51.15%, CVB = \(\frac{\sigma \mathrm{B}}{\overline{\mathrm{X}} \mathrm{B}}\) × 100 40 + \(\frac{10}{100}\) × 40 = Rs. Find out central tendency of the series (mean or median) from which deviations are to be taken. Answer: Quartile deviation is half of Inter quartile Range. Mean Deviation is less affected by extreme value than the Range. In this lesson, you will read about the following measures of dispersion : (a) Range (b) Mean deviation from mean (c) Variance It is the average squared deviation from mean whereas standard deviation is the square root of variance. change in range =11 – 8 = 3 inches Question 33. Answer: 1. Answer: In other words, dispersion helps to understand the distribution of the data. = 172 = (-1)2 = 172 – (+1) = 172 – 1 = 171. 1. Question 2. Dispersion measures the extent to which different items tend to disperse away from the central tendency. Answer: Question 30. (i) 63, 89, 98, 125, 79, 108, 117, 68 A measure of dispersion: Arithmetic mean. Which measure of dispersion is the best and how? New Mean = Rs. Average of the series refers to the central tendency of the series. Write down the steps involved in the calculation of mean deviation for the discrete series. One may now be keen to know how for the various values of the series tend to dispense from each other or from their averages. Question 19. How many methods are there to calculate dispersion? Quartile deviation requires calculation of the upper & lower quartiles but that is also easy enough. A measure of dispersion is a good supplement to the central value in understanding a frequency distribution comment. There is need to measure variation in dispersion and express it as a single figure, it can be further explained with an example. Data in ascending order 103, 97, 101, 106, 103. If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected? You can practice the questions and check your answers from the solutions given after question. Answer: Answer: Average: It is a value which is typical or representative of a set of data. Rigidly defined: 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. Notify me of follow-up comments by email. Write down the merits of mean deviation? However, the mean deviation & standard deviation require a little more systematic calculation they, too are easy. Question 6. Answer: Measures of Dispersion MCQ Questions Download PDF. 9, 10, 10, 12, 15, 16, 18, 19,21,25, iv) Mean Deviation about mean Calculate the absolute & relative values of dispersion. From the table use come to know that each family have average income of Rs. Answer: Question 12. Question 29. New Range (Shortest man is omitted) What is a Lorenz Curve? 4. The following table gives you the height of 100 person. Co – efficient of variance. Question 12. 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: where x = – \(\overline { X }\) Each measure has its place in summarizing public health data. Following are the methods of absolute and relative measures of dispersion: Answer: How is coefficient of quartile deviation calculated? When the observations are in kilograms, the absolute measure is also in kilograms. 18000. 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. a. demonstrate understanding of the key concepts of the different measures of tendency and measures of variability of a given data. How is dispersion of the series different from average of the series? In the previous question, calculate the relative measures of variation and indicate the value, which in your opinion is more reliable. Write down the Unique feature of mean deviation. 0000002088 00000 n Now it is also used tar the study of the distribution of profit wages etc. Deviation being considered as the total Variation in the mean. Students must free download and practice these worksheets to gain more marks in exams. CBSE Class 11 Economics Worksheet - 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. Question 15. Answer: The arithmetic mean of ‘x’ Calculation of mean deviation about mean: A good supplement to central value: A central value condences the series into a single figure. A measure of dispersion improves the understanding of the distribution series. Coefficient of range is the relative measure of range. Choose your answers to the questions and click 'Next' to see the next set of questions. Question 7. The amount of Variation in income is shown by deviation from the central values. 0000002473 00000 n What are open ended distribution? There are 15 questions in this test with each question having around four answer choices. 2. Types of Measures of Dispersion = \(\frac{\sigma}{x}=\frac{12}{71}\) = 0.169 or 0.17 approx. 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 What does higher value of range imply? Answer: 1. 0000001591 00000 n Measures of Dispersion Measures of Dispersion - Objective type Online Test Questions and Answers with Solution, Explanation, Solved Problems 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. Properties of a good measure of disperison. Calculate the coefficient of variations by using, a. Quartile deviation =, Question 5. Answer: 5. Coefficient of Variation is used to compose the variability, homogeneity, stability and uniformity of two different statistical series. Measures of Dispersion Although the range is easy to compute it is a crude measure of variability. Question 8. Answer: 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. Mean deviation is not capable of algebraic treatment, because it ignores plus and minus signs. Name the important measure of dispersion? Question 9. Here Standard deviation = \(\frac{\sigma}{\overline{\mathrm{X}}}\) × 100, 2. It should the relationship between the S.D and the arithmetic mean expressed in terms of percentage. vii) Comparison of the values of different measures: Question 6. Answer: = \(\frac{\sigma}{\bar{X}}=\frac{33.90}{70}\) = 0.484 Answer: In statistics, the measures of dispersion help to interpret the variability of data i.e. What is the main limitation of range? Answer: In a town 25% of the persons earned more than Rs. Answer: Conn, Dispersion is a measure of the extent to which the individual item vary. N = No of Items. = \(\frac{37.62}{136.5}\) × 100 = 27.34%. Median (M) \(=\frac{N+1}{2}=\frac{10+1}{2}=\frac{11}{2}\) ii) Relative measure – Coefficient of range, coefficient of quartile deviation, coefficient of mean deviation, standard deviation, coefficient of variation. Measures of Ccentral Tendency and Dispersion PDF Free Download Important Term and Concepts: 1. Coefficient of Variance = \(\frac{33.91}{70}\) × 100 = 48.44%. It is closely Related to standard deviation. The measurement of the scatter of the given data about the average is said to be a measure of dispersion or scatter. Measures of dispersion measures the extent a distribution are stretched [2]. 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. It does not tell us the spread of values. Percentage change in range = 3/11 × 100 = 27.2%. [Skip Breadcrumb Navigation]: [Skip Breadcrumb Navigation] Home: Chapter 4 : No Frames Version Measures of Dispersion. Question 3. Question 14. a. Amendable to algebraic treatment: These measures give us an idea about the amount of dispersion in a set of observations. It should be based on all the observation. 0000006891 00000 n 0000000811 00000 n Only mean is used in calculating the standard deviation. How is standard deviation independent of origin? Question 7. Illustrate the meaning of the term dispersion with example. Example: Calculate variance of 25, 60, 45, 30, 70, 42, 36, 48, 34 and 60 by actual mean assumed mean method. 1. Treat all deviations as positive. Question 13. Standard deviation is independent of origin as it is not affected by the Value of constant from which deviations are calculated. Mean or Median is used in calculating the mean deviation. Variance co – efficent (from S.D.) 200 The harmonic mean H of the positive real numbers 1, 2, 3, . 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