Elements of Statistics

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ISBN- 978-93-89516-31-9

Dr. K. K. Shukla

BCA, Third Semester, According to ‘UP Unified Syllabus’
Syllabus
 
BCA-S205: 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 Tendency
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 ofIndependenceof 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 {n-p Chart}, Control Charts for Number of Defects {c-chart} 
UP/BCA/2019/3/04
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