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)
- State any two limitations of statistics.
- What is meant by classification?
- Define dispersion.
- Explain Kurtosis.
- What is curve fitting?
- Explain the principle of least squares.
- Define correlation with an example.
- State any two properties of regression coefficients.
- Explain association of attributes.
- Define Independence of attributes.
PART – B
Answer any FIVE questions: (5 x 8 = 40 marks)
- Explain the Scope of statistics.
- Describe Nominal and Ordinal scaling. Also write their advantages.
- Define skewness. Explain the various measures of skewness.
- 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
- 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
- Prove that the coefficient of correlation lies between -1 and +
- 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
- 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
- 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)
- a) Explain the applications of diagrams and graphs and state their advantages.
- b) Define Primary data. What are the sources of primary data?
- 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
- 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)
- 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)
- a) Given the following data, find the two regression equations:
(8 marks)
- 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)
Latest Govt Job & Exam Updates: