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#### Applied Statistics Book Back Questions

12th Standard EM

Reg.No. :
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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