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Applied Statistics 2 Mark Book Back Question Paper With Answer Key

12th Standard

    Reg.No. :
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Business Maths

Time : 00:30:00 Hrs
Total Marks : 78

    2 Marks

    39 x 2 = 78
  1. Fit a trend line by the method of freehand method for the given data

    Year 2000 2001 2002 2003 2004 2005 2006 2007
    Sales 30 46 25 59 40 60 38 65
  2. Fit a trend line by the method of semi-averages for the given data.

    Year 1990 1991 1992 1993 1994 1995 1996 1997
    Sales 15 11 20 10 15 25 35 30
  3. Define Time series.

  4. What is the need for studying time series?

  5. State the uses of time series.

  6. Mention the components of the time series.

  7. Define secular trend.

  8. Explain cyclic variations.

  9. Discuss about irregular variation

  10. Define seasonal index.

  11. State the two normal equations used in fitting a straight line.

  12. Find the trend of production by the method of a five-yearly period of moving average for the following data:

    Year 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990
    Production(‘000) 126 123 117 128 125 124 130 114 122 129 118 123
  13. The following table gives the number of small-scale units registered with the Directorate of Industries between 1985 and 1991. Show the growth on a trend line by the free hand method.

    Years 1985 1986 1987 1988 1989 1990 1991 1992
    No. of units (in‘000) 10 22 36 62 55 40 34 50
  14. Define Index Number.

  15. State the uses of Index Number.

  16. Mention the classification of Index Number.

  17. Define Laspeyre’s price index number.

  18. Explain Paasche’s price index number.

  19. Write note on Fisher’s price index number.

  20. State the test of adequacy of index number.

  21. Define Time Reversal Test.

  22. Explain Factor Reversal Test.

  23. Define true value ratio.

  24. Discuss about Cost of Living Index Number.

  25. Define Family Budget Method.

  26. State the uses of Cost of Living Index Number.

  27. Define Statistical Quality Control.

  28. Mention the types of causes for variation in a production process. 

  29. Define Chance Cause.

  30. Define Assignable Cause.

  31. What do you mean by product control?

  32. What do you mean by process control?

  33. Define a control chart.

  34. Name the control charts for variables.

  35. Define mean chart.

  36. Define R Chart.

  37. What are the uses of statistical quality control?

  38. Write the control limits for the mean chart. 

  39. Write the control limits for the R chart.

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