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[QUOTE=mariammal;186248][B]Document Described : [/B]Statistics Question Paper, Jharkhand Question Paper
[B]
STATISTICS
(Optional)[/B]
Full Marks - 100
Pass Marks - 33
Time - 3 Hours
Candidates are required to give their answers in their own words as far as practicable.
Figures in the margin indicate ful marks.
The candidates are required to write both Group number and Question number with every answer.

[URL]http://jac.nic.in/model_questions.htm[/URL]
[URL]http://jac.nic.in/pdf/model_questions/Science_Statistics12_08.pdf[/URL]

[B]Instructions  [/B]:
This question paper consists of three Groups ? A, B and C. Groups ?A? is compulsory. Attempt eight questions from Group-B and five questions from Group-C.
[B]Group - A  [/B]:
[B]1. Answer all questions  [/B]: 2×8=16
(a) Component of a Time-Series associated with Demand of T.V. during international games:
(i) Trend (i) Irregular
(ii) Seasonal (iv) Cyclical.
(b) Which  is  not  a  method  for  measuring Trend ?
(i) Least square (i)  Graphic
(ii) Differential (iv) Semi-average.
(c) Consider the folowing data  : 
Year : 1970 1971 1972 1973 1974
Price of oil per kg.: 20 18 22 24 25
If the base year is 1970, index number for 1973 is:
(i) 110 (i) 120
(ii) 130 (iv) 125.
(e) Which is not termed as Index Number?
(i) Laspeyre?s (i) Paasche?s
(ii) Fisher?s (iv) Newton?s.
(f) Components of a Decision Theory are:
(i) Acts, inputs, outputs
(i) Inputs, events, outcomes
(ii) Acts, events, remarks
(iv) Acts, events, outcomes.
(g) If population size = N = 5, sample size =  n  =  2,  then  the  number  of  samples without replacement is  :
(i) 10 (i) 20
(ii) 25 (iv) 32.

[B]Group  [/B]: B
[B]Answer any  eight questions  [/B]: 3×8=24
2. Define  ?Trend?  and  mention  the  methods  of determining trend in Time-series.
3. Define ?Index Number and its uses?.
4. Mention various steps of conducting a large Sample Survey.
5. A  random  sample  size  5  is  drawn  without replacement from a finite population of size 54.
If the Standard Deviation (S.D.) is 5.5 ; what is Standard Error (S.E.) of sample mean ?
6. Define ?Regret? or ?Opportunity Loss? in a pay- off Table.
7. Write  in  short  about  Central  Statistical Organization (C.S.O.) in India.
8. A bag contains defective articles, the exact number  of  which  is  unknown.  A  sample  of
100 from the bag gives 8 defective articles. Find the possible limits for the proportion of
defective articles in that bag.
9. The birth rate of a town is 10% per annum and death rate is 7% per annum. What wil
be  population  of  the  town  after  4  years  if present population is 25000 ?

[B]Group  [/B]: C
[B]Answer any  five questions  [/B]: 12×5=60
11. Determine the trend of the folowing data by using semi-average method:
12. From the data given below, calculate the Index number  of  prices  for  all  the  years  with reference to 1990, as base year using Simple Aggregative method:
Items Prices
1990 1991 1992 1993
Rice 56.4 58.7 57.2 60.4
Wheat 46.2 50.3 51.7 53.3
Pulse 121.3 124.6 130.3 133.5
13. (a) Write a short note on Prospect of Indian Statistical System.
(b) Discuss  the  measures  of  changes  in population  size  through  births  and deaths.
14. A random sample of size 900 items is taken from a normal population whose mean and the variance are 4. Can the sample mean 4.5
be regarded as truely random one at 1% level of significance ? (Table value of 1% level is 2.58)
15. A die was thrown 400 times and ?six? resulted 80 times. Do the data justify the hypothesis of an unbiased die ?
17. The folowing table gives the index numbers for different groups together with their respec-tive weights for 2002 (base year 1997):
Group Group Group
Index No. Weight
Food 130 60
Clothing 280 5
Lighting and Fuel 190 7
Rent 300 9
Miscelaneous 200 19
Find out the overal cost of living index for the
year 2002.[/QUOTE]

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