BCA Semester-III^rd - Elements of Statistics Syllabus

Here you will find the syllabus of fifth subject in BCA Semester-III^rd, which is Elements of Statistics.

Important - The syllabus may vary from college to college.

Elements of Statistics Units

This course/subject is divided into total of 6 units as given below:

1. Population, Sample and Data Condensation
2. Measures of Central Tendency
3. Measures of Dispersion
4. Permutations and Combinations
5. Sample Space, Events and Probability
6. Statistical Quality Control

Now let's expand the above listed units with its syllabus.

Unit-I Syllabus - Population, Sample and Data Condensation

Here are the list of topics that comes under the syllabus of unit-I, that is population, sample and data condensation:

• Definition of statistics
• Scope of statistics
• Concept of population and simple with Illustration
• Raw data
• Attributes and variables
• Classification
• Frequency distribution
• Cumulative frequency distribution

Unit-II Syllabus - Measures of Central Tendency

Here are the list of topics that comes under the syllabus of unit-II, that is measures of central tendency:

• Concept of central Tendency
• Requirements of good measures of central tendency
• Arithmetic mean
• Median
• Mode
• Harmonic Mean
• Geometric mean for grouped and ungrouped data

Unit-III Syllabus - Measures of Dispersion

Here are the list of topics that comes under the syllabus of unit-III, that is measures of dispersion:

• Concept of dispersion
• Absolute measure of dispersion
• Relative measure of dispersion
• Range variance
• Standard deviation
• Coefficient of variation

Unit-IV Syllabus - Permutations and Combinations

Here are the list of topics that comes under the syllabus of unit-IV, that is permutations and combinations:

• Permutations of 'n' dissimilar objects taken 'r' at a time (with or without repetitions)
• ⁿP_r = n!/(n-r) !(without proof)
• Combinations of 'r' objects taken from 'n' objects
• ⁿC_r = n!/(r!(n-r)!) (Without proof)
• Simple examples of permutations and combinations
• Applications

Unit-V Syllabus - Sample Space, Events and Probability

Here are the list of topics that comes under the syllabus of unit-V, that is 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 (up to three events are expected)
• Definition of conditional probability Definition of independence of two events
• Simple numerical problems

Unit-VI Syllabus - Statistical Quality Control

Here are the list of topics that comes under the syllabus of unit-VI, that is 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}

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