# BUSINESS MATHEMATICS AND STATISTICS BMST SYLLABUS | AHSEC CLASS 12 SYLLABUS 2022 - 23

## AHSEC CLASS 12 SYLLABUS 2022 - 23

One Paper - Three Hours-Marks 100

Unit wise Distribution of Marks and Periods:

 Unit No. Title Marks Periods GROUP-A : COMMERCIAL MATHEMATICS (60 Marks) Unit-1 Unit-2 Unit-3 Simple and Compound Interest Linear inequalities a)      Set Theory b)      Determinants c)      Matrices 15 25 20 30 50 40 GROUP - B : STATISTICS (40 Marks) Unit-4   Unit-5 Unit-6 Statistical Average Positional measures Measures of Dispersion (Variation) a)      Probability b)      Correlation 12   12 16 25   25 30 Total 100 200

Unit wise Distribution of Course contents:

GROUP-A: COMMERCIAL MATHEMATICS (60 Marks)

Unit-1: Simple and Compound Interest:

a)      Simple and Compound Interest

b)      Annuity

Unit-2: Linear inequalities:

a)      Linear inequalities and their graphical representation,

b)      Permutation & Combination (Elementary ideas and simple problems),

c)      Mathematical Induction (Simple problems),

d)      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 excluded)

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 of location 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, Random 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 (Numericals should be excluded) and its significance.

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