Business Mathematics and Statistics -I

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Dr. Mangesh P. Waghmare


Prof. Ravikiran Prafull Kakade


978-93-89294-63-7

Syllabus

BUSINESS MATHEMATICS & STATISTICS-I
COURSE CODE – 114 (A)

Unit No.

Unit Title

Contents

1

Interest and

Annuity

Interest: Concept of Present Value and Future Value, Simple Interest, Compound Interest, Nominal and Effective Rate of Interest, Examples and Problems.

Annuity: Ordinary Annuity, Sinking Fund, Annuity Due, Present Value and Future Value of Annuity, Equated Monthly Installments (EMI) by Interest of Reducing Balance and Flat Interest Methods, Examples and Problems.

2

Shares and

Mutual Funds

Shares: Concept of Share, Face Value, Market Value, Dividend, Brokerage, Equity Shares, Preferential Shares, Bonus Shares. Examples and Problems.

Mutual Funds: Concept of Mutual Funds, Problems on

Calculation of Net Income after Considering Entry Load, Dividend, Change in Net Asset Value (NAV) and Exit Load. Averaging of Price under the Systematic Investment Plan (S.I.P.). Examples and Problems.

3

Population and Sample

Definition of Statistics, Scope of Statistics in Economics, Management Science and Industry. Concept of Population and Sample, Methods of Data Collection: Census and sampling with illustration. Methods of Random Sampling – SRSWR, SRSWOR, Stratified, Systematic (Description of sampling procedures only).

4

Measures of

Central Tendency

and Measures of

Dispersion

Frequency Distribution: Raw Data, Attributes and Variables, Classification of Data, Frequency Distribution,

Cumulative Frequency Distribution, Histogram and Ogive Curves.

Requisites of Ideal Measures of Central Tendency, Arithmetic Mean, Median and Mode for Ungrouped and Grouped Data. Combined mean, Merits and Demerits of

measures of Central Tendency, Geometric Mean: Definition, Merits and Demerits, Harmonic Mean: Definition, Merits and Demerits, Choice of A.M., G.M.

and H.M.

Concept of Dispersion, Measures of Dispersion: Range,

Variance, Standard deviation (SD) for Grouped and Ungrouped Data, Combined SD, Measures of Relative Dispersion: Coefficient of Range, Coefficient of Variation.

Examples and problems.

UOP/2019/BCOM/1/03
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