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STATISTICS FOR ECONOMICS CLASS: XI Unit I Chapter 1: INTRODUCTION 1. Define statistics in plural form. 2. What is economic activity? 3. Who is a service provider? 4. Who is a consumer? 5. What is meant by production? 6. Define statistics in singular sense. 7. How is statistics important in Economics? 8. How is statistics important to the Government? 9. Define Economics? Chapter 2: COLLECTION OF DATA 1. What are the main sources of data? 2. Which of the two types of data are collected for a definite purpose? 3. Which type of data involves less time and is less expensive? 4. Name 2 sources of errors in data collection. 5. Name 2 agencies at national level that deals with the collection, tabulation of statistical data. 6. What is pilot survey? 7. Define sampling error. 8. Name 2 examples of secondary data. 9. Which method is used for estimation of population? 10. Name the journal published by NSSO. 11. Which of the following methods give better results and why? a] sample b] census 12. Which of the following errors is more serious and why? a] Sampling error b] Non sampling error 13. Distinguish between primary data and secondary data. 14. Which of the following methods gives better results and why? a] Census b] Sample 15. Write four differences between census and sample methods. 16. What are the advantages of mailing questionnaire? 17. Distinguish between random and non-random sampling. 18. Write 3 advantages and disadvantages each of indirect oral investigation. 19. Distinguish between: a] Primary data and Secondary data b] Census method and Sample method 20. Distinguish between primary data and secondary data. Which data is more reliable and why? 21. What do you mean by questionnaire? State five principles which should be followed while drafting a good questionnaire. 22. Discuss the method of collecting data through questionnaires filled by enumerators. Also give its two merits and two demerits. UNIT 2 Chapter - 3 ORGANISATION OF DATA 1. What is meant by organisation of data? 2. State the meaning of classification. 3. What is meant by homogeneity of data? 4. State the meaning of qualitative classification. 5. Define raw data. 6. Define discrete series or frequency array. 7. What is meant by exclusive series? 8. Write the name of the series which include all items up to its upper limit. 9. What is meant by frequency? 10. State the meaning of class intervals. 11. State the objectives of classification. 12. Write the characteristics of a good classification. 13. Define the discrete and continuous variables with the help of example. 14. Write three importance of classification. 15. Make a frequency distribution from following data. Use exclusive method and first cla ss interval is 100-110 125 108 112 126 110 113 136 130 149 155 120 130 126 138 125 132 119 125 140 148 145 137 144 150 142 150 137 132 166 154 16. Make a frequency distribution by using the class interval of 4. Use inclusive me thod. 10 17 15 22 16 11 19 24 29 18 25 26 32 14 20 17 23 27 30 19 15 18 24 35 15 18 21 28 33 18 34 13 10 16 22 20 29 19 23 31 17. What is loss of information in classified data? 18. Do you agree that classified data is better than raw data? Why? 19. Explain types of classification of data? Chapter - 4 PRESENTATION OF DATA 1. What is meant by tabulation? 2. Define caption as a part of table. 3. What is meant by manifold table? 4. Define bar diagrams. 5. State the meaning of sub-divided bar diagrams. 6. Define pie diagram. 7. What is meant by histogram? 8. State the meaning of frequency curve. 9. Write the name of the curve which is formed by joining mid point of the top of all rectangles in a histogram. 10. Define the ogive curve. 11. What is meant by false base line? 12. State three features of a good table. 13. State the merits of tabular presentation. 14. Define pie diagram. Write the steps of making pie diagram. 15. Present the following data by multiple bar diagram. Year 1st Class 2nd Class Passed 2007 40 80 130 2008 80 100 120 2009 100 120 180 16. Present the following data of final consumption expenditure of a family with the help of a pie diagram. Items Expenditure (in rupees) Clothes 1600 Food 2400 Education 1000 Electricity 1500 Others 2500 17. Make a histogram from following data. Marks 30-35 35-40 40-45 45-50 50-55 55-60 60-65 65-70 No. 10 24 30 44 28 22 14 8 of students 18. Present the following data in a pie diagram. Items Wages Bricks Wooden Paint Steel Cement Supervision Others Work % 15 20 5 10 25 12 7 6 Expenditures 19. Make a Histogram and frequency curve. Marks 3035404535 40 45 50 No. of 10 12 20 26 Students 5055 38 20. Make a Histogram and frequency curve. Marks 0-10 10-20 20-30 30-40 No. 20 14 24 26 of Students 5560 28 40-50 28 6065 18 50-60 38 6570 12 60-70 40 70-80 10 Chapter -5 MEASURES OF CENTRAL TENDENCY 1. Define an average. 2. Define mode. 3. Age of 5 students is 22, 24, 26, 21, and 20. Find the modal age. 4. What is the relationship of Mean, Median and Mode in a symmetrical distribution? 5. List the merits and demerits of arithmetic mean. 6. Explain the advantages and disadvantages of median and mode. 7. Explain the characteristics of a good average? 8. “Arithmetic mean is affected by very large and very small values but median and mode are not affected by them.” Explain. 9. Calculate the Mean & Median from the following data: Marks 10-20 20-30 30-40 40-50 50-60 60-70 No. of Students 5 5 5 20 10 5 10. Calculate Mode from the following data. Marks 0-10 1020- 30-40 40506020 30 50 60 70 No. of 2 5 8 10 8 5 2 Students 11. Calculate Arithmetic mean from the following data using direct and short cut method / Assumed mean method: Size 10 20 30 40 50 60 Frequency 7 8 12 15 5 3 12. Calculate Arithmetic mean from the following data using step- deviation method:Size 20-29 30-39 40-49 50-59 60-69 Frequency 10 8 6 4 2 13. Find median of the following observations: 20, 15,25,28,18, 16, and 30 14. Calculate median of the following data. Marks 11-15 16-20 21-25 26-30 31-35 364140 45 No. of 7 10 13 26 35 22 11 Students 15. Calculate Q1 and Q3 from the following data Marks 10 20 30 40 No. of 4 10 20 8 Students 50 6 4650 5 60 3 16. Calculate the value of median and Q1 from the following data: Marks 0-10 10-20 20-30 30-40 40-50 No. of 5 8 10 4 3 Students 17. Calculate the mode of the following data: 4,6,5,7,9,8,10,4,7,6,5,8,7,7,9 18. Calculate mode from the following data Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 No. of 2 5 8 10 8 5 2 Students 19. The following table gives the daily income of ten workers in a factory. Find the arithmetic mean. Workers A B C D E F G H I J Daily Income (in 120 150 180 200 250 300 220 350 370 260 Rs) 20. Following information pertains to the daily income of 150 families. Calculate the arithmetic mean. Income (in Number of Rs) families More than 75 150 More than 85 140 More than 95 More than 105 More than 115 More than 125 More than 135 More than 145 115 95 70 60 40 25 21. The size of land holdings of 380 families in a village is given below. Find the median size of land holdings. Size of Land Holdings Less than 100 – 200 – 300 – 400 and (in 100 200 300 400 above acres) Number of families 40 89 148 64 39 Chapter- 6 MEASURES OF DISPERSION 1. Define the following and give their respective formulae. a). Range b). Coefficient of variation c). Lorenz curve d). Dispersion e). Mean deviation f). Quartile deviation g). Standard deviation h). Variance 2. What is relative measure of dispersion? 3. What is coefficient of variation? 4. If Q1=41, Q3=49, find the value of coefficient of Quartile deviation. 5. Name the important absolute and relative measures of dispersion. 6. Why standard deviation is measured from the mean? 7. Find out the standard deviation, if variance is, 144? 8. Write the formula of calculating mean deviation from mean. 9. Name the various measures of dispersion. Explain the merits and demerits of any two. 10. From the following data, calculate range and coefficient of range. Marks: 10 20 30 40 50 60 70 No of students 8 12 7 30 10 5 2 11. Calculate quartile deviation and coefficient of quartile deviation from the data given below. 320, 400, 450, 530, 550, 580, 600, 610, 700, 780, and 800 12. Find out mean deviation of the following data (use median method) Marks 12 18 25 35 47 55 62 75 Frequency 8 12 15 16 17 18 13 12 13. Calculate mean and standard deviation from the following data:Class 0-10 10-20 20-30 30-40 40-50 Interval Frequency 8 13 16 8 5 14. Explain the characteristics of a good measure of dispersion. 15. Find the mean deviation from the median and its coefficient for the following data: Class 10-19 20-29 30-39 40-49 50-59 Interval Frequency 3 4 6 5 2 16. Calculate mean and standard deviation from the following data: Marks in 10-20 20-30 30-40 40-50 Hindi No. of 13 16 8 5 students 17. Find out range and coefficient of range of the following series. Size 5-10 10-15 15-20 20-25 25-30 Frequency 4 9 15 8 5 18. Find out Standard deviation (6) from the following data: Class 0-10 10-20 20-30 30-40 Interval Frequency 10 3 2 1 40-50 4