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# 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:

- Population, Sample and Data Condensation
- Measures of Central Tendency
- Measures of Dispersion
- Permutations and Combinations
- Sample Space, Events and Probability
- 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)
^{n}P_{r}= n!/(n-r) !(without proof)- Combinations of 'r' objects taken from 'n' objects
^{n}C_{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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