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Karnataka II PUC Statistics Model Question Paper 2021-22

Name of the Organisation : Department of Post University Education, Karnataka
Exam : II PUC Statistics Exam
Subject : Statistics
Document Type : Model Question Paper
Website : https://pue.karnataka.gov.in

Karnataka II PUC Statistics Model Question Paper

Department of Post University Education, Karnataka Statistics Model Question Paper II PUC for the year 2021-22.

Related / Similar Question Paper : Karnataka II PUC Logic Model Question Paper 2021-22

Karnataka II PUC Statistics Questions

Section – A
I. Answer anyten of the following questions.
1. Define fecundity.
2. Define life table.
3. Name the index number which does not satisfy unit test.
4. Define consumer price index number.
5. What is Historigram?
6. Which variation of the time series is unpredictable?
7. Write the parameter of a Bernoulli distribution.
8. What is the total area under the normal curve?
9. For a chi square, find median.
10. What is meant by estimation?
11. Define null hypothesis.
12. Define confidence interval.
13. What is a control chart?
14. In L.P.P define solution.
15. Define ‘strategy’ in a game.

Section – B
II. Answer anyten of the following questions.
16. Mention two uses of vital statistics.
17. In a life table, if l1 = 95,400 and l2 = 93,492 then, find d1.
18. Mention two characteristics of index numbers.
19. If p1q = 450 and p0q= 400, find Kelly’s price index number.
20. Find consumer price index number from the following data.
Group A B C D
Group Index 100 120 130 110
Weight 2 3 1 4
21. Mention two uses of time series.
22. Diagrammatically represent ‘Business Cycle’ with stages.
23. Write down the conditions for applying of Binomial expansion method of interpolation and extrapolation.
24. Find P(X = 0) in a Poisson distribution with mean 5.
25. If n = 4 for student’s t-distribution, find S.D.
26. If P = 0.1 and n = 100, then find S.E(p).
27. Define type I and type II errors.
28. If X = 40, R =2.5 and A2= 0.577, find lower control limit of X – chart.
29. What are degenerate and non-degenerate solutions in T.P?
30. Mention two needs for replacement of equipments.

Section – C
III. Answer any eight of the following questions.
31. From the following data, find CBR and GFR.
Age [in
years]
Male
Population
Female
Population
Number of live
births
0 14 46000 43000
15 24 34000 32000 6846
25 39 39000 38000 3893
40 49 30000 28000 674
50 79 27000 26000
80 & above 15000 12000

32. For the following data, calculate gross reproduction rate.
Age group
[in years] 15 – 19 20 – 24 25 – 29 30 – 34 35 – 39 40 – 44 45 – 49
Female
population 14,000 15,000 14,000 13,000 12,000 11,000 10,000
Female
births 630 870 980 650 600 220 30

33. What are the steps involved in the construction of index number? Explain any
two of them.

34. The following are the prices (in Rs.) of items in 2010 and 2015. Find simple
geometric mean price index number.
Item A B C D E F
Price 2010 50 60 20 50 80 125
(Rs.) 2015 55 75 30 75 70 130

35. Obtain trend values by 3 yearly moving averages for the following data.
Year 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004
Sales
(‘000) 86 63 45 58 43 57 98 120 100 150

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