University : Mohan Lal Sukhadia University
Degree : B.Sc
Department : Statistics
Subject : Statistical Methods
Year : I
Document Type : Question Paper
Website : mlsu.ac.in
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Statistical Methods Question Paper :
First Year Examination of the Three Year Degree Course, 2001
(Common for the Faculties of Arts & Science) StatisticsPaper I
(Statistical Methods)
Related : Mohan Lal Sukhadia University Elements of Probability B.Sc Question Paper : www.pdfquestion.in/5827.html
Time – Three Hours
Maximum Marks – 50
Attempt Five question in all, selecting ONE question from each unit. All questions carry equal marks.
SECTION A
1. Define “Statistics” and discuss its scope and limitations.
2. Distinguish between classification and tabulation. Discuss the purpose, methods and importance of classification.
3. Write a note on the use of graphic method in Statistics Indicate briefly the special merits attaching to the use of various kinds of diagrams for the presentation of statistical data.
4. What is meant by “Central tendency” – Describe the various methods of measuring it and point out the usefulness of each methods.
SECTION B
5. Discuss the relative merits of range, standard deviation mean deviation as a measure of dispersion.
6. What is skewness- What are the different tests of skewness-
7. Define raw and central moments of a distribution. What is the effect of change of origin and scale on the moments-
SECTION C
8. What do you understand by association of attributes- How will you examine the consistency of data classified according to different attributes-
9. In a radio listeners preference survey, 120 persons were interviewed and their opinions were as follows :-
Type of Music Language A Language B
I 13 45 II 39 23
Find coefficient of association and coefficient of colligation.
10. From the following given class-frequences find the values of (A), (B), (C),
(AB) and (BC ) :-
(ABC) = 149, (aaBC) = 204 (ABg) =738
(aBg) = 1762, (AbC) = 225, (abC) = 171,
(Abg) = 1196, (abg) = 21842.
Syllabus
Paper – I : Descriptive Statistics
TIME : 3 hours
UNIT – I :
Definition and History of Statistics, Concept of statistical population. Attributes and Variables, different methods of collection, classification and tabulation of statistical data.
Representation of Data : Discrete and continuous variates, Construction of frequency tables for grouped and ungrouped data in uni-variate and bivariate cases, Histogram, Frequency polygon, curves and ogives, One, two and three-dimensional diagrams.
UNIT – II :
Measures of Location : Arithmetic mean, weighted arithmetic mean, geometric mean and harmonic mean, Median and Mode. Requisites of an ideal measure of central tendency, merits and demerits of various measures of central tendency. Partition Values: Quartiles, Deciles and Percentiles.
UNIT – III :
Measures of Dispersion: Range, Semi-interquartile range, Mean deviation, Root mean square deviation, Standard deviation and coefficient of variation. Lorenz curve, Requisites of an ideal measure of dispersion.
UNIT – IV :
Moments : Raw, central, factorial and absolute moments, Relationship between central, raw and factorial moments. Charlier’s checks and Sheppard’s corrections (without proof), effect of change of origin and scale on moments. Different measures of Skewness and Kurtosis.
UNIT – V :
Theory of Attributes : Class frequencies and their order ( up to three attributes only), consistency of data, association and independence of attributes. Yule’s coefficient of association and coefficient of colligation.
Recommended Books :
1. Gupta S.C. and Kapoor, V.K : Fundamentals of Mathematical Statistics, Sultan Chand & Sons, New Delhi
2. Kapur, J.N and Saxena, H.C. : Mathematical Statistics,. S.Chand & Company Ltd., New Delhi.
Paper – III : Computational Techniques & Official Statistics
TIME : 3 hours
UNIT – I :
Statistical Organizations in India Central Statistical Organization, National Sample Survey Organization, their functions and publications, Agricultural Statistics, Area and Yield Statistics, Trade Statistics, Statistical Organizations in Rajasthan, their functions and publications.
UNIT – II :
Linear Programming: Definition of Linear Programming Problem (LPP), formulation of LPP, Graphical method (for two variables), Simplex computational procedure and Duality.
UNIT – III :
Theory of Finite Differences: Operator, Factorial function; Newton-Gregory’s forward and backward interpolation formulae, Estimation of missing value in equal intervals.