Q3/2E/04-13 Reg. No

St. Joseph’s College of Arts & Science (Autonomous) St. Joseph’s College Road, Cuddalore – 607001 ASBM301T – BUSINESS STATISTICS Time : 3 hrs Max Marks :75 SECTION – A (10X2=20) Answer ALL Questions 1. What is the relationship between mean, median and mode? 2. Write the different sources of collecting secondary data? 3. What is the formula to calculate Mean deviation from mean for raw data? 4. State the different types of skewness? 5. Define correlation co.efficient. 6. Write the two regression equations. 7. State any two methods of obtaining weighted price index. 8. What are the components of Time Series? 9. Write the control limit for Mean chart? 10. Distinguish between chance cause and assignable cause of variation. SECTION – B (5X5=25) Answer ALL Questions 11. a) Explain the different method of measuring central values.

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Q3/2E/04-13 (or) b) Compute Median from the following data X: 5 10 15 20 25 F: 2 5 8 10 8

30 7

35 3

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12. a) Calculate the value of range and its co.efficient from the following data. X: 10 20 30 40 50 60 70 80 F: 5 10 20 25 45 30 15 5 (or) b) For two series the following information is obtained. Series A Series B No. of Workers: 50 60 Average 60 45 S.D 10 12 Find which series is more consistent. 13. a) Explain Scatter diagram. (or) b) Compute Spearman’s rank correlation co.efficient from the following data. X: 110 100 140 120 80 90 Y: 70 60 80 55 10 20 14. a) Construct the cost of living index number for the following data. Group: A B C D E Index: 330 308 200 162 180 Weight: 50 10 12 12 16 (or) b) Calculate 5 Yearly moving average trend values from the following data. Year: 2001 03 04 05 06 07 08 09 10 11 Value: 332 317 357 392 402 405 410 417 405 431 15. a) Explain the assumptions of interpolation. (or) b) Explain the various methods of interpolation.

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Q3/2E/04-13 SECTION - C (3X10=30) Answer any THREE Questions 16. Explain the various methods of collection of primary data. 17. Compute Karl-Pearson’s co.efficient of skewness from the following data. Value: 5 10 15 20 25 30 35 Freq.: 2 5 8 12 15 8 6

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18. Construct the two regression equations for the following data: A: 23 43 53 63 73 83 B: 5 6 7 8 9 10 19. Calculate Laspeyre’s, Paasche’s and Fisher’s Ideal Index from the following data: Base Year Current Year Commodity Price Value Price Value A 10 100 8 96 B 16 96 14 98 C 12 36 10 40 D 15 60 5 25 20. The number of units of a product exported during 2007-12 is given below. Fit straight line trend by the method of least squares. Estimate the export for 2013. Year: 2007 2008 2009 2010 2011 2012 No. of Units: 12 13 14 15 22 26 (‘000)

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BUSINESS STATISTICS 2 - 04 14.pdf

State any two methods of obtaining weighted price index. ... 15. a) Explain the assumptions of interpolation. (or). b) Explain the various methods of interpolation.

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