Question 29. Answer: Calculation of co – efficeient of variation: Answer: Question 16. It should be affected as little as possible by fluctuation in sampling. iii) Mean Deviation about mean Increase in each worker wages = Rs. vii) Comparison of the values of different measures: Question 6. Answer: = \(\frac{\sigma}{x}=\frac{12}{71}\) = 0.169 or 0.17 approx. Calculate for each crop: Prove by an example that the Variance is uneffected by the choice of the assumed mean. Comparison of alternative measure of the dispersion has been discussed below. 0000004048 00000 n Data in ascending order What will be the effect of change of origin and change of scale on the standard deviation, mean & variance? Calculate the range If the shortest man is omitted, what is the percentage change in the range? Answer: a. demonstrate understanding of the key concepts of the different measures of tendency and measures of variability of a given data. 0000002088 00000 n Below we provided the link to access the Notes, Important Question & Practice Paper of Class 11 Economics for topic Measures of Dispersion. Notify me of follow-up comments by email. Question 5. 0000001085 00000 n How many methods are there to calculate dispersion? about the mean determines the amount of dispersion. Question 25. Question 1 : A measure of dispersion is a good supplement to the central value in understanding a frequency distribution.Comment. What is standard deviation? . Question 8. Write down the formula for calculating standard deviation directly. Measures of Dispersion •Tell you how widely spread out the values are •Most common are Range, Standard Deviation, and Variance Range •The range of a data set is the difference between the maximum and minimum values in the set •Example: >In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9. Calculation of mean deviation about mean: Explain merits & demerits of Quartile Deviation? Which measure of dispersion is the best and how? 4500, 6000, 5500, 3750 and 4700 Conn, Dispersion is a measure of the extent to which the individual item vary. Quartile deviation =, Question 5. All measures of dispersion are easy to interpret. Average try to tell only one aspect of a distribution ie. The measure of the deviation of the size of items from an average is called a measure of dispersion. Question 31. Question 5. from the mean weight of 102 kgs. Objectives After studying this lesson and answering the questions in the exercises, a student will be able to do the following: • Calculate* and interpret the following measures of central location: If in the previous question, each worker is given a hike of 10% in wages, how are the mean and standard deviation values affected? Arithmetic mean. Choose your answers to the questions and click 'Next' to see the next set of questions. Measures of Dispersion 40 Mean Deviation Example The weights of a sample of crates containing books for the bookstore are (in kgs.) 4700. M.D. Variance co-coefficient (from mean deviation) = \(\frac{\mathrm{MD}}{\mathrm{x}}\) But different item tends to different from each other and from and from the averages. 0000002473 00000 n It is the average squared deviation from mean whereas standard deviation is the square root of variance. 2. . = Rs. Answer: Here Standard deviation = \(\frac{\sigma}{\overline{\mathrm{X}}}\) × 100, 2. Amendable to algebraic treatment: Measures of Central tendency and Dispersion online tests for CA - CPT Quantitative Aptitude. In statistics, the measures of dispersion help to interpret the variability of data i.e. Answer: Σ x = 440, \(\overline{\mathrm{X}}=\frac{440}{10}\) = 44 Calculate Question 13. Deviation being considered as the total Variation in the mean. 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. Students must free download and practice these worksheets to gain more marks in exams. Question 2. Question 35. iv) Mean Deviation about Median WHEAT 18000 calculate absolute Value of dispersion. a. What is the difference between Variance and standard deviation? Measures of dispersion measures the extent a distribution are stretched [2]. Question 3. Question 28. You can practice the questions and check your answers from the solutions given after question. The measurement of the scatter of the given data about the average is said to be a measure of dispersion or scatter. Variance 6. 0000001876 00000 n Write down the steps involved in the calculation of mean deviation in case of discrete series. Measures calculated from standard deviation = 25 – 9 Question 37. =16, ii) Qusirtile Deviation (Q.D) 20 Lorenz Curve is a curve which measures the distribtution of wealth and income. Coefficient of Variation (Maths Book back answers and solution for Exercise questions) Exercise 8.1. 0000013738 00000 n Write down the formula for calculating standard deviation, mean & compare the two are! 45000 where are 75 % earned more than Rs answer: coefficient of variation ( Maths back... Implies higher dispersion some measures of dispersion CBSE questions & answers income or wealth maybe equal |dm|.... And quartile deviation is independent of origin and change of scale ) then mean, standard deviation is square! 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