Applied Statistics Book Back Questions

12th Standard EM

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Business Maths

Time : 00:45:00 Hrs
Total Marks : 30
    5 x 1 = 5
  1. A time series is a set of data recorded

    (a)

    Periodically

    (b)

    Weekly

    (c)

    successive points of time

    (d)

    all the above

  2. The value of ‘b’ in the trend line y=a+bx is

    (a)

    Always positive

    (b)

    Always negative

    (c)

    Either positive or negative

    (d)

    Zero

  3. The component of a time series attached to long term variation is trended as

    (a)

    Cyclic variation

    (b)

    Secular variations

    (c)

    Irregular variation

    (d)

    Seasonal variations

  4. Laspeyre’s index = 110, Paasche’s index = 108, then Fisher’s Ideal index is equal to:

    (a)

    110

    (b)

    108

    (c)

    100

    (d)

    109

  5. Which of the following Index number satisfy the time reversal test?

    (a)

    Laspeyre’s Index number

    (b)

    Paasche’s Index number

    (c)

    Fisher Index number

    (d)

    All of them

  6. 3 x 2 = 6
  7. Explain cyclic variations.

  8. Discuss about irregular variation

  9. Define seasonal index.

  10. 3 x 3 = 9
  11. 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
  12. Given below are the data relating to the production of sugarcane in a district.
    Fit a straight line trend by the method of least squares and tabulate the trend values.

    Year 2000 2001 2002 2003 2004 2005 2006
    Prod. of Sugarcane 40 45 46 42 47 50 46
  13. Calculate the seasonal index for the quarterly production of a product using the method of simple averages.

    Year I Quarter II Quarter III Quarter IV Quarter
    2005 255 351 425 400
    2006 269 310 396 410
    2007 291 332 358 395
    2008 198 289 310 357
    2009 200 290 331 359
    2010 250 300 350 400
  14. 2 x 5 = 10
  15. Construct the Laspeyre’s , Paasche’s and Fisher’s price index number for the following data. Comment on the result.

    Commodities Base Year Current Year
    Price Quantity Price Quantity
    Rice 15 5 16 8
    Wheat  10 6 18 9
    Rent 8 7 15 8
    Fuel 9 5 12 6
    Transport 11 4 11 7
    Miscellaneous 16 6 15 10
  16. Calculate Fisher’s price index number and show that it satisfies both Time Reversal Test and Factor Reversal Test for data given below.

    Commodities Base Year Current Year
    Price Quantity Price Quantity
    Rice 150 5 11 6
    Wheat  12 6 13 4
    Rent 14 8 15 7
    Fuel 16 9 17 8
    Transport 18 7 19 5
    Miscellaneous 20 4 21 3

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