HIGHER SECONDARY I ST YEAR STATISTICS MODEL QUESTION PAPER

Transcription

1 HIGHER SECONDARY I ST YEAR STATISTICS MODEL QUESTION PAPER Time - 2½ Hrs Max. Marks - 70 PART - I 15 x 1 = 15 Answer all the Questions I. Choose the Best Answer 1. Statistics may be called the Science of Counting is the definition given by a) Croxton b) A.L.Bowley c) Boddington d) Webster 2. Simple random Sample can be drawn with the help of a) Slip method b) Random number table c) Calculator d) All the above 3. The headings of the rows given in the first column of a table are called a) Stubs b) Captions c) Titles d) Reference notes 4. If the lower and upper limits of a class are 10 and 40 respectively, the mid points of the class is a) 15.0 b) 12.5 c) 25.0 d) Which Maps are used to give quantitative information as a geographical basis a) Pictogram b) Cartogram c) Histogram d) Pie diagram 6. Histogram is useful to determine graphically the value of a) Mean b) Median c) Mode d) All the above 7. What Percentage of values lies between 5 th and 25 th Percentiles? a) 5% b) 20% c) 30% d) 75% 8. Which measure of dispersion ensures highest degree of reliability? a) Range b) Mean deviation c) Q.D d) S.D 9. Variance is 36, the standard deviation is a) b) 6 c) 0.6 d) Limits for correlation coefficient a) b) c) d) 11. The nature of correlation for Shoe Size and IQ is a) Positive Correlation b) Negative Correlation

2 c) No Correlation d) None of these 12. If 2 regression coefficients are b1= and b2 = what would be the value of r? a) b) 0.6 c) d) Regression coefficient is independent of a) Origin b) Scale c) Both origin and scale d) neither origin nor scale 14. Most Preferred type of average for index number is a) arithmetic Mean b) geometric mean c) harmonic Mean d) none of the above 15. Laspeyre s Price index 4% and Paasche Price index number is 16% then the Fisher s ideal index number is a) 8% b) 64% c) 0.8% d) 6.4% PART - II 6 x 2 = 12 Answer any Six Questions Question 23 is compulsory 16. Write the definition of statistics given by Horace Secrist 17. What are the main objects of classification? 18. What is an array? 19. What is Lorenz curve? 20. From the given data calculate HM 5, 10, 17, 24, What are the uses of Index numbers? 22. Distinguish between Positive and Negative correlation 23. If the mean and median of a moderately asymmetrical Series are 35 and 36 respectively, what would be its most Probable mode? 24. Write any two Demerits of Arithmetic Mean

3 PART - III 6 x 3 = 18 Answer any Six Questions Question 30 is compulsory 25. State the Principles of Sampling 26. What are the essential Characteristics of a good table? 27. Write the types of class intervals 28. Draw a Pie diagram for the following data of Production of Sugar in quintals of Various Countries Country Production of Sugar (in quintals) Cuba 62 Australia 47 India 35 Japan 16 Egypt Compute median for the following data Mid Value Frequency Compute Bowley s coefficient of Skewness from the following data Size Frequency

4 31. Explain the types of correlation 32. Write the differences between Arithmetic mean and Geometric mean 33. Write the difference between correlation and Regression PART - IV 5 x 5 = 25 Answer all the Questions 34. Explain how Statistics used in our daily life The Following Series relates to the marks secured by students in an examination. Find the Quartiles Marks No. of Students ` Write the Methods of selection of a Simple random Sampling Write the Characteristics of a good questionnaire

5 Age of Age of wife husband The ages of 20 husband and wives are given below. Form a two way frequency table on the basis of ages of husbands and wives with the class intervals 20-25, Age of Age of wife husband Explain the types of diagrams 37. Calculate S.D from the following Series

6 Class interval Frequency Compute the two regression equations from the following data X Y If x = 2.5, what will be the value of y? 38. From the following data, calculate the coefficient of rank correlation X Y Calculate Fisher ideal index for the following data. Also test whether it Satisfies time reversal test and factor reversal test. Price Quantity Commodity A B C