BUSINESS MATHEMATICS AND STATISTICS
SYLLABUS FOR HIGHER SECONDARY FINAL YEAR COURSE
AHSEC CLASS 12 SYLLABUS 202122
One
Paper  Three HoursMarks 100
Unit wise Distribution of Marks and Periods:
Unit
No. 
Title 
Marks 
Periods 

GROUPA : COMMERCIAL MATHEMATICS (60 Marks) 


Unit1 Unit2 Unit3 
Simple and Compound Interest Linear inequalities a) Set
Theory b) Determinants c) Matrices 
15 25 20 
30 50 40 

GROUP
 B : STATISTICS (40 Marks) 


Unit4 Unit5 Unit6 
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:
GROUPA:
COMMERCIAL MATHEMATICS (60 Marks)
Unit1: Simple and Compound Interest:
a)
Simple and Compound Interest
b)
Annuity
Unit2: 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 Coefficient)
Unit3 : (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)
Unit4: 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
Unit5: 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,
Coefficient of variation.
Unit6: (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
Coefficient (Numericals should be excluded) and its significance.
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