Elements of Statistics

SYLLABUS- ELEMENTS OF STATISTICS,
Unit-I
Population, Sample and Data Condensation: Definition and scope of statistics,
concept of population and simple with Illustration, Raw data, attributes and variables,
classification, frequency distribution, Cumulative frequency distribution.
Unit-II
Measures of Central Tendeny: Concept of central Tendency, requirements of a good
measures of central tendency, Arithmetic mean, Median, Mode, Harmonic Mean,
Geometric mean for grouped and ungrouped data.
Unit-III
Measures of Dispersion: Concept of dispersion, Absolute and relative measure of
dispersion, range variance, Standard deviation, Coefficient of variation.
Unit-IV
Permutations and Combinations: Permutations of 'n' dissimilar objects taken 'r' at a
time (with or without repetitions). nPr=n!/(n-r) !(without proof). Combinations of 'r'
objects taken from 'n' objects. nCr=n!/(r!(n-r)!) (without proof). Simple examples,
Applications.
Unit-V
Sample Space, Events and Probability: Experiments and random experiments,
Ideas of deterministic and non-deterministic experiments; Definition of sample space,
discrete sample space, events; Types of events, Union and intersections of two or more
events, mutually exclusive events, Complementary event, Exhaustive event; Simple
examples.
Classical definition of probability, Addition theorem of probability without Proof (upto
three events are expected). Definition of conditional probability Definition of
independence of two events, simple numerical problems.
Unit-VI
Statistical Quality Control: Introduction, control limits, specification limits,
tolerance limits, process and product control; Control charts for X and R; Control charts
for number of defective ,control charts for number of defects .