Gauhati University Question Papers for Statistics 1st Semester
Gauhati University Question Papers for Statistics 1st Semester
Question Paper from 2010 available
More than 50 question papers every semester
Please check your syllabus before downloading the question paper.
If syllabus does not match then don't download the question paper.
Year
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Paper 101
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Paper 102
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2010
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2011
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2012
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2013
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2014
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2015
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2016
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2017
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More than 50 question papers every semester
Syllabus Down Here
SEMESTER
- I
Paper M
101: Descriptive Statistics –I:
Paper 1.1
: Descriptive Statistics –1:
Unit
1:
Types
of data: Concepts of a statistical population and sample from a population;
qualitative and quantitative data; nominal and ordinal data; cross sectional
and time series data; discrete and continuous data; frequency and non-frequency
data.
Collection
and Scrutiny of Data: Primary data-designing a questionnaire and a
schedule; checking their consistency; Secondary data-their major sources
including some government publications. Complete enumeration,
controlled experiments, observational studies and
sample surveys. Scrutiny of data for
internal consistency and detection of
errors of recording. Ideas of cross-validation.
Unit
2:
Presentation
of Data and Statistical Graphics: Construction
of tables with one or more factors of
classification. Diagrammatic and graphical representation of non-frequency
data. Frequency distributions, cumulative frequency distributions and their
graphical and diagrammatic representation-column diagram,
histogram, frequency polygon and ogives. Stem and leaf chart.
Box plot, scatter diagram for bivariate data.
Analysis
of Quantitative Data: Univariate data. Concepts of central tendency or
location, dispersion and relative dispersion, skewness and kurtosis and their
measures including those based on quantiles and
moments, Absolute moments, factorial moments,
cumulants, Sheppard’s corrections for moments for grouped data.
Unit
3:
Analysis
of bivariate data: Preparation of bivariate
frequency table, Product moment correlation coefficient and
its properties, Spearman’s rank correlation co-efficient, Concepts of
regression, Principle of least squares and
orthogonal polynomial, Fitting of linear regression and
related results. Correlation index, Fitting of curves reducible to polynomials
by log and inverse transformation, Correlation ratio, and Intra-class
correlation, Partial and Multiple correlation and regression.
PAPER
M102: PROBABILITY – 1:Unit 1:
Random experiment:
trial, sample point and sample space, event, operations of events, and concepts
of mutually exclusive and exhaustive events.
Definition
of probability: classical and relative frequency approach. Axiomatic approach,
Discrete probability space, Properties of probability, Independence of events,
Conditional probability, total and compound probability rules, Baye’s theorem
and its applications, Geometrical interpretation.
Unit
2:
Random
variable (rv); its probability mass function (pmf) and probability density
function (pdf) and cumulative distribution function (cdf), Joint pmf and pdf of
several discrete and continuous rv’s. Marginal and conditional pmf and pdf.
Functions of rv, linear combination of rv’s. Independence of rv’s. Expectation
of a rv and its properties; Moments, measures of location and
dispersion of a rv; Probability generating
function (pgf), convolution and moment generating function
(mgf) of a rv, their properties and uses, factorial moments and their properties,
cumulant generating function and its properties, characteristic function and
its simple properties.
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