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Organization : Karnataka Department of Pre-University Education
Exam : II PU Statistics
Document type : Question Paper
Website : http://pue.kar.nic.in/

PUE Karnataka Statistics Question Paper

Total No. of Questions : 42
Total No. of Printed Pages : 16

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March, 2009 Statistics Question

Time : 3 Hours 15 Minutes
Max. Marks : 100

Note :
i) Statistical tables will be supplied on request.
ii) Scientific calculators may be used.
iii) All working steps should be clearly shown.

SECTION – A

I. Answer the following questions : 10 × 1 = 10
1. Which measure should be used for comparing health conditions of two towns –
2. Theoretically which best average is used in the construction of index numbers –
3. Which weights are used in the construction of Paasche’s price index number –
4. Mention any one of the factors causing seasonal variations.
5. For a Binomial distribution mean = 7 and variance =11.
6. For the application of – 2 -distribution, what is the condition for
7. Define Standard Error.
8. Which is the best estimator of the population mean –
9. What is the principle adopted for replacement of equipment which
10. SQC helps in detecting which type of variation –

SECTION – B

II. Answer any ten of the following questions : 10 × 2 = 20
11. The Quinquennial ASFRs for women of child bearing age of a
12. If price of a commodity is Rs. 10 in 2002 and Rs. 35 in 2008, then
13. Why Fisher’s index number is called an ‘Ideal’ –
14. Which components of a time series are associated with the following
a) Fall in death rate due to advance in science.
b) An increase in employment during harvest season.
15. In a Poisson distribution the first probability term is 0·2725. Find the
16. The distribution of a variable X is given by the law
Write down the values of mean and standard deviation.
17. Define one-tailed and two-tailed tests.
18. The proportion of vegetarians in a city is 0·48. Find the standard
19. Write down the t-test statistic and degrees of freedom in the case
20. In an LPP define optimal solution.
21. In a rectangular game pay-off matrix of Player A is
Write down the pay-off matrix of Player B.
22. What is a Control Chart – Name the control chart for variables.

SECTION – C

III. Answer any eight of the following questions : 8 × 5 = 40
23. Taking Town A as standard, find the STDRs & comment.
27. If on an average 1 ship in every 10 is sunk, find the chance that out
29. 490 male students and 450 students appeared at an
30. A tobacco company claims that there is no relationship between
33. A truck owner from his past records finds that the maintenance
34. Twenty pieces of cloth out of different rolls contained respectively

SECTION – D

IV. Answer any two of the following questions : 2 × 10 = 20
35. The following table gives the age and sex distribution and the number
36. It is stated that Marshall-Edgeworth index number is a good

March, 2010 Question

Section – A

I. Answer the following questions : 10 × 1 = 10
1. Mention a source of vital statistics.
2. The price index number for the current year is 121. Give your conclusion.
3. Write the formula for computing Laspeyre’s quantity index number.

4. Give an example for seasonal variation.
5. Is mean of Binomial Distribution less than variance ?
6. What is the probability that a normal variate takes a value greater than its mean ?

7. Mention a use of Standard Error.
8. What is confidence coefficient ?
9. What is the value of a fair game ?
10. Name the control chart used in case of defectives in Statistical Quality Control.

Section – B

II. Answer any ten of the following questions : 10 × 2 = 20
11. In a community in a specific year 4000 live births occurred. In the case of 50 of above, the mothers died due to child birth. Compute M.M.R. ( per 1000 ).
12. Write any two limitations of index number.

13. Define irregular variation and give an example.
14. Under what conditions does Binomial distribution tend to Poisson distribution ?
15. What are the mean and variance of Standard Normal distribution ?
16. Define size and power of a test.

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