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Register Number:
Name of the Candidate:
B.Sc. DEGREE EXAMINATION May 2014
(OPERATIONS RESEARCH)
710: STATISTICAL METHODS
(Double Degree)
Time: Three hours / Maximum: 75 marksSECTION-A
Answer any EIGHT questions / (8 ´ 5 = 40)
1. / What are the various sources of secondary data?
2. / What do you mean by ‘classification’? Mention various modes of classification.
3. / Write the merits and demerits of Median.
4. / Define Geometric mean. Mention its limitations.
5. / Define Skewness and Kurtosis.
6. / What is ‘Regression’? Mention its uses.
7. / Explain graphical method of ascertaining correlation.
8. / Define standard deviation and co-efficient of variation. Mention the importance of co-efficient of variation.
9. / What are the different kinds of association between the attributes?
10. / What do you mean by ‘consistency of data’? Give examples.
SECTION-B
Answer any THREE questions / (3 ´ 20 = 60)
11. / a) Describe different methods of collecting primary data.
b) Describe various types of diagrammatic representation of data with examples.
12. / Calculate the Arithmetic Mean, Median and Mode for the following data:
C.I / 10-13 / 13-16 / 16-19 / 19-22 / 22-25 / 25-28 / 28-31 / 31-34 / 34-37 / 37-40
Frequency / 8 / 15 / 27 / 51 / 75 / 54 / 36 / 18 / 9 / 7
13. / Find the skewness for the following frequency distribution both by (i) Bowley’s model and (ii) Karl Pearson’s method.
C.I / 0-10 / 10-20 / 20-30 / 30-40 / 40-50 / 50-60 / 60-70 / 70-80
Frequency / 11 / 22 / 30 / 35 / 21 / 11 / 6 / 5
14. / a) Mention the properties of correlation coefficient.
b) Find the rank correlation between X and Y
X: / 40 / 55 / 40 / 60 / 62 / 78 / 58 / 96 / 85 / 60 / 60
Y: / 65 / 45 / 68 / 65 / 70 / 75 / 69 / 88 / 75 / 72 / 82
15. / a) Define Yule’s co-efficient of association. Mention its uses.
b) Find Yule’s co-efficient of association for the following data and comment on your result.
Graduate / Illiterates
Employed / 470 / 8140
Unemployed / 820 / 570
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