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Applied Statistics 3 Mark Book Back Question Paper With Answer Key

12th Standard

    Reg.No. :
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Business Maths

Time : 00:45:00 Hrs
Total Marks : 51

    3 Marks

    17 x 3 = 51
  1. Fit a trend line by the method of semi-averages for the given data.

    Year 2000 2001 2002 2003 2004 2005 2006
    Production  105 115 120 100 110 125 135
  2. Calculate three-yearly moving averages of number of students studying in a higher secondary school in a particular village from the following data.

    Year 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004
    Number of students 332 317 357 392 402 405 410 427 435 438
  3. Calculate four-yearly moving averages of number of students studying in a higher secondary school in a particular city from the following data.

    Year 2001 2002 2003 2004 2005 2006 2007 2008 2009
    Sales 124 120 135 140 145 158 162 170 175
  4. A machine drills hole in a pipe with a mean diameter of 0.532 cm and a standard deviation of 0.002 cm. Calculate the control limits for mean of samples 5.

  5. The following data gives the readings for 8 samples of size 6 each in the production of a certain product. Find the control limits using mean chart.

    Sample 1 2 3 4 5 6
    Mean 300 342 351 319 326 333
    Range 25 37 20 28 30 22

    Given for n = 6, A2 = 0.483,

  6. Write a brief note on seasonal variations

  7. Explain the method of fitting a straight line.

  8. State the different methods of measuring trend.

  9. The following figures relates to the profits of a commercial concern for 8 years

    Year 1986 1987 1988 1989 1990 1991 1992 1993
    Profit (Rs.) 15,420 15,470 15,520 21,020 26,500 31,950 35,600 34,900

    Find the trend of profits by the method of three yearly moving averages.

  10. Calculate by a suitable method, the index number of price from the following data:

    Commodity 2002 2012
    Price Quantity Price Quantity
    A 10 20 16 10
    B 12 34 18 42
    C 15 30 20 26
  11. The following are the group index numbers and the group weights of an average working class family’s budget. Construct the cost of living index number:

    Groups Food Fuel and
    Lighting
    Clothing Rent Miscellaneous
    Index Number 2450 1240 3250 3750 4190
    Weight 48 20 12 15 10
  12. Construct the cost of living Index number for 2015 on the basis of 2012 from the following data using family budget method.

    Commodity Price Weight
    2012 2015
    Rice 250 280 10
    Wheat 70 280 5
    Corn 150 170 6
    Oil 25 35 4
    Dhal 85 90 3
  13. Calculate the cost of living index by aggregate expenditure method:

    Commodity Weights
    2010
    Price (Rs.)
    2010 2015
    P 80 22 25
    Q 30 30 45
    R 25 42 50
    S 40 25 35
    T 50 36 52
  14. Using three yearly moving averages, Determine the trend values from the following data.

    Year Profit Year Profit
    2001 142 2007 241
    2002 148 2008 263
    2003 154 2009 280
    2004 146 2010 302
    2005 157 2011 326
    2006 202 2012 353
  15. From the following data, calculate the trend values using fourly moving averages.

    Year 1990 1991 1992 199 1994 1995 1996 1997 1998
    Sales 506 620 1036 673 588 696 1116 738 663
  16. Compute the consumer price index for 2015 on the basis of 2014 from the following data.

    Commodities Quantities Prices in 2015 Prices in 2016
    A 6 5.75 6.00
    B 6 5.00 8.00
    C 1 6.00 9.00
    D 6 8.00 10.00
    E 4 2.00 1.50
    F 1 20.00 15.00
  17. An Enquiry was made into the budgets of the middle class families in a city gave the following information.

    Expenditure Food Rent Clothing Fuel Rice
    Price(2010) 150 50 100 20 60
    Price(2011) 174 60 125 25 90
    Weights 35 15 20 10 20

    What changes in the cost of living have taken place in the middle class families of a city?

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