Statistical Methods– 1 [BCA -102] Syllabus BCA 1st-I Sem Syllabus for DAVV Indore Affiliated Institutions

 DEVI AHILYA VISHWAVIDYALAYA (DAVV), INDORE

Bachelor Of Computer Applications (BCA) (Full-Time) 
First-1st-I Semester Curriculum/ Syllabus 2011-12 Academic Year Onwards

Mathematics – Syllabus 

 

 

Statistical Methods – I [BCA -102] Syllabus /Course contents

UNIT 1

Variables & graphs : Statistics, population & sample, discrete & continuous variables, graphs, equations, inequalities, logarithms, Frequency distributions: frequency distributions, histogram, frequency polygons. Frequency curve, cumulative frequency distribution, ogives

UNIT II

Measures of central tendency : The arithmetic mean, weighted arithmetic mean geometric mean, harmonic mean, mean power of numbers, root mean square, median , mode, quartiles, deciles & percentiles. Measures of dispersion : The range, mean deviation, semi inter quartile range for quartiles, deviation, absolute & related dispersion, coefficient of variation.

UNIT III

Monuments skewness & kurtosis : Moments of various types, relation between moments, sheppard’s correction to moments, skewness & kurtosis, moment generating function. Elementary probability theory : sample space, events, classical definition of portability, relative frequency definition theorems of total & compound portability, Independent & dependent event, mutually exclusiveevent, mathematical expectation.

UNIT IV

Theoretical distributions discrete & continuous probability distribution. Basic  concepts & applications of degenerate, Bernoulli, Binomial, geometric negative binomial. Hyper geometric & Poisson distributions , normal distribution Curve fitting & the method of last squares : curve fitting the method of least square, the least square lines, the least square parabola, regression.

UNIT V

Correlation theory : Linear correlation, Measures of correlation, the least square regression lines expected & unexpected variation, coefficient of correlation, rank correlation, correlation index, multiple & partial correlation for three variables; Theory of attributes: Consistency of data, association of attributes, coefficient of association, contingency tables.

REFERENCE BOOKS :

1. Statistics schaum’s outline series, Spiegel, M.R.McGraw Hill Publishing company.

2. Mathematical statistics Kapoor & Saxena : - S,Chand & sons

OBJECTIVE : The objective of this course is to familiarize the students with Statistics.

EXAMINATION: The internal examination will carry 20% marks i.e. 10 marks. The external examination will be of 80% marks i.e. 40 marks. The question paper will contain questions equally distributed in all units. The balance of the paper will be maintained by including appropriate (numerical/objective/conceptual/analytical/theoretical) combination of subsection in each question.