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Vk Fundamentals of Mathematics Statistics BCA 1st Sem

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Enhance your understanding of statistics with "Fundamentals of Mathematical Statistics" by T.R. Jain and S.C. Aggarwal, published by VK Global Publications. Tailored for BCA 1st-year students at Panjab University, Chandigarh, this book provides a comprehensive overview of essential statistical concepts, including data collection, classification, presentation, and measures of central tendency and dispersion. It also covers correlation and regression analysis, equipping students with the analytical skills needed for real-world data interpretation. 

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1.Introduction to Statistics 
2.Planning of statistical investigation 
3.Collection of Data 
4.Classification of data: Frequency distribution 
5.Presentation of data 
6.Measures of central Tendency-1 (Mean, ,Median, Mode)
7.Measures of central Tendency-1 (Geometric mean and Harmonic mean)
8.Measures of Dispersion
9.Simple Correlation Analysis 
10.Simple Regression Analysis 
Total Marks : 100
Theory : 90
Internal marks : 10
Time duration : 3 Hours  


Note :-
(i)The Question paper will consist of Four units.
(ii)Examiner will set total of NINE questions comprising TWO questions from each Unit and ONE compulsory question of short answer type covering whole syllabi.
(iii)The students are required to attempt ONE question from each Unit and the Compulsory question.
(iv)All questions carry equal marks unless specified.
(v)The student can use only Basic(Non-programmable) type of Calculator.
(vi)Log tables are allowed. Students may be Provided the same for computation.



Unit - 1
Basic statistics : Types of Statistics, Different statistical Techniques, Steps in Statistical Investigation, Uses and limitations of statistics, Collection of Data, Sources of Collecting primary and secondary data Limitations of secondary data, Criteria of evaluating secondary data, Organization of data, graphs of grouped frequency distribution, Tabulation of Data, Parts of Table.

Measures of Central Tendency : kinds of measures of central tendency (statistical averages of averages):

Arithmetic mean : Simple Arithmetic mean, methods of calculating simple arithmetic mean, Arithmetic mean in case if individual series, Discrete series and continuous series, Weighted Arithmetic Mean, Combined Arithmetic mean.

Geometric Mean : Simple Geometric Mean, Methods of calculating simple geometric mean, Geometric Mean in case of individual series, Discrete series and continuous series, Weighted Arithmetic mean, combined geometric mean. 

Harmonic mean : Simple Harmonic mean, Methods of calculating simple Harmonic mean, Harmonic mean in case of individual, Discrete series and continuous series. Weighted Harmonic mean, Combined Harmonic mean.


Unit - 2
Medium : Methods of calculating median in case of individual, Discrete series and continuous series. 
Partition Value : Quartile, Quintiles, Hexiles, Septiles, Octiles, Deciles, Percentiles.
Mode : Methods of calculating Mode in case of Individual series, Discrete series and continuous series.  
Range : Computation of Range, Inter Quartile Range, Computation of Inter quartile range, Percentile range and Computation of Percentile Range.
Mean Deviation : Computation of mean deviation, Standard Deviation, Calculation of standard Deviation, variance, Calculation of standard Deviation and coefficient of variation, Combined standard Deviation, Correcting incorrect standard deviation.


Unit - 3
Correlation analysis : Correlation Analysis : Definition, Types of Correlation : Positive, Negative, Simple. Multiple, partial, total, Linear and non-linear. Need of correlation Analysis, Correlation and causation, Techniques for measuring correlation : Scatter Diagram method, graphic method, Karl Pearson's coefficient of correlation correcting incorrect coefficient of correlation, Calculating karl Pearson's coefficient of correlation : Calculation of correct Coefficient of rank correlation. Difference between rank Coefficient and karl Pearson's coefficient, Coefficient of concurrent deviation.


Unit - 4 
Regression Analysis : Definition, Difference between correlation and regression, Types of Regression analysis : Simple, Multiple, partial, Total, Linear and non-linear, objectives of regression analysis, methods of obtaining regression analysis : Regression lines, Regression Equations. Methods of obtaining regression equations and regression coefficient, properties of regression coefficient, Standard error of estimate, Regression Coefficient in case of grouped data, uses of regression Analysis and Limitations of Regression Analysis. 

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