AHSEC 2nd Year Syllabus 2024-25 Business Mathematics and Statistics

COMMERCIAL MATHEMATICS AND STATISTICS SYLLABUS FOR HIGHER SECONDARY FINAL YEAR COURSE One Paper Three Hours Marks 100 Unitwise Distribution of Marks and Periods : Unit No Title Marks Periods GROUP-A : COMMERCIAL MATHEMATICS (60 Marks) Unit - 1 Simple and Compound Interest 15 30 Unit - 2 Linear inequalities 25 50 Unit - 3 (a) Set Theory 20 40 (b) Determinants (c) Matrices GROUP - B : STATISTICS (40 Marks) Unit - 4 Statistical Average 12 25 Positional measures } Unit - 5 Measures of Dispersion (Variation) 12 25 Unit - 6 (a) Probability 16 30 (b) Correlation } Total 100 200 Unitwise Distribution of Course contents : GROUP-A : COMMERCIAL MATHEMATICS (60 Marks) Unit-1 : Simple and Compound Interest : Simple and Compound Interest, Annuity Unit-2 : Linear inequalities : Linear inequalities and their graphical representation, Permutation & Com- bination (Elementary ideas and simple problems), Mathematical Induction (Simple problems), Binomial Theorem for positive Integral Index (Omit Binomial Co-efficient) Unit-3 : (a) Set Theory : (Elementary Ideas), Elements, Types of Sets, Subsets (Proper and improper), Union, Intersection and Difference of Set, Complement of Set, Venn Diagram, Application of Sets (Simple Problems) (b) Determinants : (Up to 3rd order), Meaning, Properties and Simple problems, Solution of equation by Cramer’s Rule (c) Matrices : Definition and type of Matrices, Equality of Matrices, Addition, Subtraction, Scalar Multiplication and Matrix Multiplication, (Adjoint and Inverse matrices should be ex- cluded)

2 Syllabi for H.S. Final Year GROUP - B : STATISTICS (40 Marks) Unit-4 : Statistical Average : Meaning, Purpose, Measures, Mean (A.M. G.M. H.M.), Median, Mode (For all series), their uses, merits and demerits, essential qualities of a good average. Positional measures : Quartiles, Deciles, Percentiles, Graphic method olocation of median, of quartiles and mode Unit-5 : Measures of Dispersion (Variation) : Meaning, objects and function – Measures : Range, Quartile deviation, Mean deviation, Standard deviation (all series), Lorenz curve, Their uses, merits and demerits, Essential qualities of a good measure of dispersion, Co-efficient of variation. Unit-6 : (a) Probability : Meaning, Definition (Mathematical or Classical approach), Event, Trial, Ran- dom experiment, Equally likely events, Mutually exclusive events, Favourable cases to an event. [Numerical problems on definition of probability only. Addition and multiplication theorem on probability should be excluded] (b) Correlation : Meaning, types, Karl Pearson’s Correlation Co-efficient and its significance. ***