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Applied Statistics 3 Mark Creative Question Paper With Answer Key

12th Standard

    Reg.No. :
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Business Maths

Time : 00:45:00 Hrs
Total Marks : 45

    3 Marks

    15 x 3 = 45
  1. Fit a straight line trend for the following data using the method of least squares.

    x 0 1 2 3 4
    y 1 1 3 4 6
  2. Fit a trend line to the following data by graphic  method.

    Year 1978 1979 1980 1981 1982 1983 1984 1985 1986
    Production of steel 20 22 24 21 23 25 23 26 25
  3. Find a trend line to the following data by the method of sami-averages.

    Years 1980 1981 1982 1983 1984 1985 1986
    Sales 102 105 114 110 108 116 112
  4. Calculate the seasonal indices for the following data by the method of simple average.

    Year Quarters
    I II III IV
    1994 78 66 84 80
    1995 76 74 82 78
    1996 72 68 80 70
    1997 74 70 84 74
    1998 76 74 86 82
  5. Compute Fisher's price index number for the following data.

    Commodity Base Year Current Year
    Price Quantity Price Quantity
    A 10 12 12 15
    B 7 15 5 20
    C 5 24 9 20
    D 16 5 14 5
  6. From the data given below, construct a cost of living index number by family budget method for 1986 with 1976 as the base year.

    Commodity P Q R S T U
    Quantity in 1976 50 25 10 20 30 40
    Price in 1976 (Rs) 10 5 8 7 9 6
    Price in 1986 (Rs) 6 4 3 8 10 12

     

  7. From the data given below calculate seasonal indices

    Year
    Quarter 1984 1985 1986 1987 1988
    I 40 42 41 45 44
    II  35 37 35 36 38
    III  38 39 38 36 38
    IV 40 39 40 41 42
  8. Using three year moving average determine the trend values for the following data.

    Year 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992
    Production
    (in tonnes)
    21 22 23 25 24 22 25 26 27 26
  9. Using four yearly moving average calculate the trend values

    Year 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990
    Production
    (in tonnes)
    464 515 518 467 502 540 557 571 586 612
  10. Calculate the trend values by tour year moving average method

    Year 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988
    Production
    (in tonnes)
    614 615 652 678 681 655 717 719 708 779 757
  11. Calculate the seasonal indices for the following data using average method

    Year Quarter 
     I   II III IV
    1982  72   68  80  70
    1983 76 70 82 74
    1984 74  66 84 80
    1985 76 74 84 78
    1986 78 74 86 82
  12. Calculate the cost of living index by aggregate expenditure method

    Year Quantity Price
    2000 2000 2003
    A 100 8 12
    B 25 6 7.50
    C 10 5 5.25
    D 20 48 52
    E 65 15 16.50
    F 30 19 27
  13. Construct the cost of living index number for 2003 on the basis of 2000 from the following data using family budget method

    Items Price Weight
    2000 2003 2000
    Food 200 280 30
    Rent 100 200 20
    Clothing 150 120 20
    Fuel and Lighting 50 100 10
    Miscellaneous 100 200 20
  14. Construct the cost of living index for 2000 taking 1999 as the base year from the following data using Aggregate Expenditure method.

    Commodity Quantity (kg) Price
    2000 2000 2003
    A 6 5.75 6
    B 1 5 8
    C 6 6 9
    D 4 8 10
    E 2 2 1.80
    F 1 20 15
  15. Calculate the cost of living index using family budget method for the following data talking the base year as 1995.

    Commodity Weight Price(per unit)
    1995 1996
    A 40 16 20
    B 25 40 60
    C 5 0.5 0.5
    D 20 5.12 6.25
    E 10 2 1.50

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