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STATISTICS
Paper – I: Descriptive Statistics & Probability
SYLLABUS
Unit - I
Introduction: Concepts of Primary and Secondary data.
Methods of Collection and editing of Primary data. Designing a questionnaire and a schedule. Diagrammatic
and graphical representation of data: Histogram, frequency polygon, Ogive, Pie
chart.
Measures
of Central Tendency: Mean,
Median, Mode, Geometric Mean and Harmonic Mean.
Unit - II
Measures
of Dispersion:
Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance &
Coefficient of Variation with simple applications. Central and Non-Central moments
and their interrelationships. Sheppard’s correction for moments for grouped
data. Skewness and Kurtosis.
Unit
- III
Probability: Basic concepts - Random Experiments, trial,
outcome, sample space, event, mutually exclusive and exhaustive events, equally
likely and favorable outcomes with examples.
Definitions of probability - Mathematical, Statistical and Axiomatic.
Conditional probability and independence of events. Addition and multiplication
theorems of Probability for 2 and n events. Boole’s inequality, Bayes’ theorem
and Problems based on Bayes theorem. Probability examples (simple problems).
Unit-IV
Definition
of Random variable:
Discrete and Continuous random variables, Functions of random variables.
Probability mass function, Probability density function and Distribution
function and its properties. Bivariate random variables – Meaning, Joint,
marginal and conditional distributions.
Independence of random variables and simple problems.
Unit-V
Mathematical
Expectation: Mathematical
expectation of a random variable and function of a random variable. Moments and
covariance using mathematical expectation with examples. Addition and
multiplication theorems on expectation. Definitions of M.G.F, C.G.F, C.F and
statement of their properties with applications. Chebychev’s and
Cauchy-Schwartz’s inequalities.
STATISTICS
PAPER 1: Descriptive Statistics & Probability
Important Questions , Mid Examination and Public Examination Papers
| Important Questions |  |
| Mid Examination 1 | |
| Mid Examination 2 | |
| Public Examination Papers 2020 | |
| Public Examination Papers 2021 | |
| Public Examination Papers 2022 | |
STATISTICS
Paper – I: Descriptive Statistics & Probability
SYLLABUS
Unit - I
Introduction: Concepts of Primary and Secondary data.
Methods of Collection and editing of Primary data. Designing a questionnaire and a schedule. Diagrammatic
and graphical representation of data: Histogram, frequency polygon, Ogive, Pie
chart.
Measures
of Central Tendency: Mean,
Median, Mode, Geometric Mean and Harmonic Mean.
Unit - II
Measures
of Dispersion:
Range, Quartile Deviation, Mean Deviation, Standard Deviation, Variance &
Coefficient of Variation with simple applications. Central and Non-Central moments
and their interrelationships. Sheppard’s correction for moments for grouped
data. Skewness and Kurtosis.
Unit
- III
Probability: Basic concepts - Random Experiments, trial,
outcome, sample space, event, mutually exclusive and exhaustive events, equally
likely and favorable outcomes with examples.
Definitions of probability - Mathematical, Statistical and Axiomatic.
Conditional probability and independence of events. Addition and multiplication
theorems of Probability for 2 and n events. Boole’s inequality, Bayes’ theorem
and Problems based on Bayes theorem. Probability examples (simple problems).
Unit-IV
Definition
of Random variable:
Discrete and Continuous random variables, Functions of random variables.
Probability mass function, Probability density function and Distribution
function and its properties. Bivariate random variables – Meaning, Joint,
marginal and conditional distributions.
Independence of random variables and simple problems.
Unit-V
Mathematical
Expectation: Mathematical
expectation of a random variable and function of a random variable. Moments and
covariance using mathematical expectation with examples. Addition and
multiplication theorems on expectation. Definitions of M.G.F, C.G.F, C.F and
statement of their properties with applications. Chebychev’s and
Cauchy-Schwartz’s inequalities.
STATISTICS
PAPER 1: Descriptive Statistics & Probability
Important Questions , Mid Examination and Public Examination Papers
| Important Questions | |
| Mid Examination 1 | |
| Mid Examination 2 | |
| Public Examination Papers 2020 | |
| Public Examination Papers 2021 | |
| Public Examination Papers 2022 | |
