Karnataka I PUC Statistics Model Question Paper 2021-22

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

Karnataka I PUC Statistics Model Question Paper

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

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Karnataka I PUC Statistics Questions

Section – A
I. Answer any ten of the following questions.
1. Give Boddington’s definition of Statistics.
2. Define an attribute.
3. What is meant by statistical enquiry?
4. Define sampling.
5. Define frequency.
6. What is tabulation of the data?
7. Mention a type of one dimensional diagram.
8. Name the graph used to locate median.
9. Find mode for the following data: 3, 4, 5, 5, 6, 8, 5, 7, 5, 5, 8, 5, 5, 4, 5.
10. If SD = 4 cms, find variance.
11. What is causation?
12. Write the co-ordinates of the point of intersection of the two regression equation.
13. What is interpolation?
14. Write the sample space when two coins are tossed once.
15. What is the value of E(8), if 8 is a constant.

Section – B
II. Answer any ten of the following questions.
16. Mention two functions of Statistics.
17. What is meant by nominal and ordinal scales?
18. Mention the sources of secondary data.
19. Write two causes of sampling errors.
20. Write down the types of classification.
21. Find frequency density for the following data. C.I 0 – 10 10 – 30 30- 50 50 – 60 f 10 25 40 15
22. Mention two needs of diagrams.
23. Write down the two limitations of diagrams and graphs?
24. If sum of 15 observations is 450. Find its mean.
25. For the following data compute coefficient of range. Height (cms): 160, 158, 159, 165, 148, 139, 142, 155.
26. Draw a scatter diagram to show that there exists perfect negative correlation between two variables.
27. Prove that √
28. What is the difference between coefficient of correlation and association of attributes?
29. If A and B are two independent events and P(A) = 0.6, P(B) = 0.5, then find P(A∪B).
30. If E(X) = 5 and E(X2) = 36, find SD(X)

Section – C
III. Answer any eight of the following questions.
31. Mention five characteristics of Statistics.
32. Distinguish between census enumeration and sample survey.
33. Mention the methods of samping and explain one of them.
34. Weights in kg of 50 students of a college are as follows.
42 62 46 54 41 37 54 44 32 45
47 50 58 49 51 42 46 37 42 39
54 39 51 58 47 64 43 48 49 48
49 61 41 40 58 49 59 57 37 34
56 38 45 52 46 40 63 41 51 41
Prepare a frequency distribution table with suitable class intervals.
35. Following figures represent the decadal change of population of India. Draw a simple bar
diagram.
Year 1971 1981 1991 2001 2011
Population(Million) 548 688 846 1028 1210
36. Prepare a histogram from the following data :
C.I 0-6 6-12 12-18 18-30 30-36 36-42
f 4 8 15 20 12 2
37. Calculate the harmonic mean from the following data.
X 10 20 30 40 50
f 2 4 6 5 3
38. Compute M.D from median for the data given below:
X 24 26 28 30 32 34
f 6 10 16 8 3 2
39. Calculate Pearson’s coefficient of correlation from the following data.
X 40 42 46 48 50 56
Y 10 12 15 23 27 30
40. Following are the marks of 8 students in Statistics and Mathematics. Find coefficient of rank correlation.
Marks in Statistics 25 43 27 35 54 61 37 45
Marks in Mathematics 35 47 20 37 63 54 28 40
41. Compute Yule’s coefficient of Association from the following data.
(AB) = 150, N = 1000, (A) = 200, (B) = 300.
42. From the following data interpolate the production of cement in 2007.
Year 2005 2006 2007 2008 2009 2010
Production (in tons) 44 90 ? 160 270 390
43. State and prove addition theorem of probability for two mutually exclusive events.
44. A box contains 6 white and 4 black marbles. Three marbles are drawn at random from this box.
Find the probability that they are:
(a) two white and one black marbles. (b) one white and two are black marbles.
45. State and prove multiplication theorem of expectation for two independent random variables X and Y.

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