LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

FIRST SEMESTER – APRIL 2012

ST 1502/ST 1500 – STATISTICAL METHODS

 

 

 

Date : 28-04-2012              Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

PART – A

Answer ALL questions:                                                                                        (10 x 2 = 20 marks)

 

1. State any two limitations of statistics.
2. What is meant by classification?
3. Define dispersion.
4. Explain Kurtosis.
5. What is curve fitting?
6. Explain the principle of least squares.
7. Define correlation with an example.
8. State any two properties of regression coefficients.
9. Explain association of attributes.
10. Define Independence of attributes.

 

PART – B

 

Answer any FIVE questions:                                                                                        (5 x 8 = 40 marks)

 

11. Explain the Scope of statistics.
12. Describe Nominal and Ordinal scaling. Also write their advantages.
13. Define skewness. Explain the various measures of skewness.
14. Calculate the mean and mode for the following frequency distribution:

Monthly Wages:   Less than 200        200-400           400-600           600-800             800-100

No. of workers:              78                    165                   93                     42                        12

15. Fit a straight line trend for the following data:

Year:   1990    1991    1992    1993    1994    1995    1996

Y:         127      101      130      132      126      142      137

16. Prove that the coefficient of correlation lies between -1 and +
17. From the following data calculate the coefficient of rank correlation between x and y.

X:         36        56        20        65        42        33        44        50        15        60

Y:         50        35        70        25        58        75        60        45        80        38

18. a) Arrange the following data in a 2×2 contingency table and find the unknown class frequency,

given that the total frequency is 500:

Intelligent fathers with intelligent sons  250

Dull fathers with intelligent sons             75

Intelligent fathers with Dull sons              40

1. b) Ascertain whether there is any relationship between intelligence of fathers and sons.

 

(P.T.O)

 

 

 

PART – C

 

Answer any TWO questions:                                                                              (2 x 20 = 40 marks)

 

19. a) Explain the applications of diagrams and graphs and state their advantages.

 

1. b) Define Primary data. What are the sources of primary data?
2. Calculate first four moments about mean from the following data. Also calculate b₁ and

b₂ and comment on the nature of the distribution.

X:     0        1          2          3          4          5          6          7          8

f:      5        10        15        20        25        20        15        10        5

21. a) Fit a second degree parabola to the following data:

Year:              1982  1983    1984    1985    1986    1987    1988    1989    1990

y:     4        8          9         12        11        14        16        17        26                         (12 marks)

 

1. b) Calculate Karl-Pearson’s coefficient of correlation from the following data.

X:  10   12   18    24     23   27

Y:  13   18    12   25     30   10                                                                (8 marks)

22. a) Given the following data, find the two regression equations:

(8 marks)

 

1. b) Find the missing frequencies from each of the following two data:

(i)    (A) = 400,     (AB) = 250,    (B) = 500,      N = 1200

(ii)       (B) = 600,

Is there any inconsistency in the data given above?                                       (12 marks)

 

 

 

 

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