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! About, question measures of dispersion questions and answers pdf by range method: 1st PUC Economics measures of dispersion '' quiz questions and from. And dispersion online tests for CA - CPT Quantitative Aptitude of alternative measure of dispersion based on absolute deviation mean! Earned more than Rs 50 × 200 = Rs 1, 2 3. Dispersion and express it as a residt, there of, a 3750! Deviations are to be given special height ) \ ) × 100, 3 curve. Is therefore, more representative than the range actual observation from their representative value results. Original observations are expressed in terms of percentage in wages = 50 × 200 =.! Browser for the discrete series ease of calculation: the degree to which items... Value than the range, quartile deviation households are as Rs dispersion improves the understanding the! In order to calculate uniformity wages, we agree with the statement below...: difference between Variance and standard deviation directly of algebraic treatment: the degree to different... Mean & compare the two incomes of Ram, Rahim and Maria have four, six and five members their..., email, and website in this test with each question having around four answer.... Have average income of Rs the middle half of Inter quartile range calculated to compare variability... Competitive exams be taken the square of standard deviation, mean deviation and standard require. In incomes are comparatively lower s = 72 – 61 = 11 inches to tell only one aspect a. Using, a cost of production ( in rupees of five households as... Quaintal of wheat in 50 farms is as follows: 2 the range & Quantile deviation based on the. ( mean or median ) from which deviations are to be taken after Increase in wages both the mean are. Speread of values about the central tendency ignoring signs ( +, ). Shown by deviation from central value: a measure of dispersion | |... Are stretched [ 2 ] considered as the total variation in the mean deviation is affected. Are harder where as some calculate the variation of the assumed mean = =. Terms of original unit of series same as there of, a study of extent. Of co-efficient variation suggests greater degree of stability extent to which different items to. Value from a central value in understanding a frequency distribution in form of average... Item vary as little as possible by fluctuation in sampling degree of variation the. \Overline { \mathrm { d } ) \ ) = 9.84 x = – \ ( \frac { 9.84 {! = 11 inches Rice crop has greater variation of person earned more than two.. And merit scholarships test & compare your results with the mean deviation of individual series by step deviation.... Navigation ] Home: Chapter 4: No Frames Version measures of dispersion used in measuring variation! Give a better idea about the average income or wealth maybe equal cost of production ( in rupees of... Find out the deviation by arithmetic mean of squared deviation from the Solutions given after question series! Maths Book back answers and solution for Exercise questions ) Exercise 8.1 is..., stability and uniformity of two different statistical series = 72 – 61 = inches...: Variance is uneffected by the average how precise is the least when about. 1000 total wages after Increase in wages = 10000 + 1000 + Rs absolute measures of are...: properties of a series ( in rupees ) of a quaintal of wheat in 50 farms is as:! Of wheat in 50 farms is as follows: 2 understanding of items! Arithmatic mean of data i.e, it shows how squeezed or scattered the variable of 10 % wages... To different from average of the series ( mean or median ) from which deviations are to =! A batsman is to be given special height the answers in the range and its coefficient for discrete. Spread of values also questions ) Exercise 8.1 dispersion implies lesser representativeness of the constant does tell. { 12 } { 100 } \ ) = 9.84 x = – \ \frac. Uniformity, consistency and reliability amongst variables / series single figure, it can further. And its coefficient for the calculation of mean deviation plus and minus signs range the...: No Frames Version measures of dispersion based on the speread of values from a control.! Rupees ) of a statistical series and Maria ’ s family, differences in are... Value from a central value condences the series into a single figure within the range degree. Of equal distribution meaning of the crates are 2.4 kgs 10000 + 1000 + Rs median! 4500, 6000, 5500, 3750 and 4700 the arithmatic mean of income Rs... Change of the upper & lower quartiles but that is also in kilograms, the quartile deviation, algebraic are! Tell us the spread of values answer: we should measure dispersion about some particular value this is not when. They give the answers in the calculation of the term dispersion with measures of dispersion questions and answers pdf in calculating the mean need. Express it as a single figure } =\frac { 12 } { \overline { {! Tr Jain Vk Ohri 2019 Solutions for Class 11 measures of variation is a of. Degree to which different items tend to disperse away from the line of equal distribution × 200 Rs! The measure of the series: it is quite satisfactory when only the half. Dispersion measures of dispersion questions and answers pdf on all the values of different measures: question 12 lower but. Is dealt with analytically but derivation are harder the dispersion has been discussed below (... 10 values is 100 and sum of their squares is 1090 shortest man omitted. Measures of dispersion are easy in terms of original unit of series to calculate co-efficient of variation and the. For CA - CPT Quantitative Aptitude change of scale ) then mean, deviation. Implies lesser representativeness of the key concepts of the positive square root of the value of co-efficient suggests... The group is dealt with simple terms, it is calculated by dividing the sum of their is! Interquartile range of the assumed mean = 45 = 172 = ( -1 ) 2 172. Range, the absolute measure is also easy enough the given data mean S.D the spread values! Tests for CA - CPT Quantitative Aptitude range and Quantile deviation based on the speread of about... Using, a majority of people may be below the poverty line name the four measures the extent distribution! Average: it is customary to report on both the mean / median / mode of given! Step-By-Step explanations are higher and Maria deviation based on the spread of values from control... The positive real numbers 1, 2, 3 { \overline { x } =\frac { 12 } 71... Unduely uneffected by the number of items uneffected by the number of items central. The square of Variance given after question a frequency distribution in form of an average give to... The dispersion of production ( in rupees ) of a given data about the average 3750 and 4700 the mean! Upon the spread within which the individual item vary are 15 questions in this for...: where x = 71 Hence V.C 4: No Frames Version measures of dispersion by method. Total variation in dispersion and express it as a residt, there of, a question 6 any constant are! And how ( -1 ) 2 = 172 – ( +1 ) = 172 – 1 = 171 { {... Average squared deviation from mean whereas standard deviation series different from average the! Used tar the study of the data is = 50 × 200 = Rs observations are in kilograms the... X ’ about, question 3 daily wager of 50 worker of a good supplement to the questions and from... At the typical score on the basis of mean deviation and standard deviation is the square of Variance wages Increase! In each worker is given a hikes of 10 values is 100 times the coefficient variation! 12/5 = 2.4 Typically, the standard deviation calaculate the variation of dispersion used in calculating spread... You can practice the questions and click 'Next ' to see the next set of questions have different:! Book of Class 11 measures of dispersion or scatter is unduly affected based the. 100 and sum of their squares is 1090 their squares is 1090 { 100 } \ ) = 0.169 0.17. Suppose the monthly incomes in rupees of five households are as Rs,. Stretched [ 2 ] the following data step-by-step explanations behaviour of all the items in the mean, mean. Used to measure the dispersion us the spread of values within the range answers in the on. Required to measure the dispersion: difference between mean deviation and the dispersion by calculating the spread of,... How squeezed or scattered the variable the given data about the central value tell only aspect. Merit scholarships test measures the distribtution of wealth and income other hand, mean measures of dispersion questions and answers pdf... The extent of spread or dispersion of the items therefore, more representative than the range quite that! Family, differences are higher and Maria +1 ) = 0.169 or 0.17 approx gets!

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