Business Mathematics & Statistics Notes for B.Com Part 1 / B.Com (Part-I) / B.Com (Hons) / ADP / ADC / BS (Accounting and Finance) / BBA / BS (Commerce) / BS (IT). Students of B.Com Part 1 / B.Com (Part-I) / B.Com (Hons) / ADP / ADC / BS (Accounting and Finance) / BBA / BS (Commerce) / BS (IT) Level of any University recognized by Higher Education Commission (HEC), Islamabad belonging to any province i.e. Punjab, Sindh, KPK, Balochistan and Azad Kashmir and can get benefit from these notes. By studying our notes, we can guarantee you for getting maximum marks in your exams.

Table of Contents

## Math and Statistics Notes for B.Com Part-I / ADP / ADC / BBA / BS (Commerce, Accounting, IT and Finance)

**Please select a topic from below:**

## Business Math and Statistics (BSM) Old / Past Annual and Supplementary Question Papers

**Punjab University Past Question Papers**

**Annual **

**Supplementary **

- 2014
- 2015
- 2016
- 2017
- 2018
- 2019
- 2020

**Solution of Business Mathematics and Statistics by ****Muhammad Abdullah **

**Business Statistics **

- Chapter # 01 – Introduction
- Chapter # 03 – Measures of Central Tendency
- Chapter # 04 – Measures of Dispersion
- Chapter # 05 – Correlation and Regression
- Chapter # 06 – Index Number
- Chapter # 07 – Probability
- Chapter # 08 – Random Variable and Probability Distribution
- Chapter # 09 – Sampling and Sampling Distribution
- Chapter # 10 – Test of Hypotheses and Significance
- Chapter # 11 – Association of Attributes and Chi Square Test
- Chapter # 12 – Analysis of Time Series

**Business Mathematics**

- Chapter # 01 – Linear Equation
- Chapter # 02 – Simultaneous Equations
- Chapter # 03 – Quadratic Equations
- Chapter # 04 – Matrix
- Chapter # 05 – Sequences and Series
- Chapter # 06 – Factorial, Permutation and Combinations
- Chapter # 07 – Percentages, Discount and Commission
- Chapter # 08 – Simple and Compound Interest
- Chapter # 09 – Annuity
- Chapter # 10 – Differentiation

**Solution of Business Mathematics and Statistics ****Nadeem Akhtar Siddiqui and Tariq Ali Khan**

**Business Statistics**

- Chapter # 01 – Organization of Data
- Chapter # 03 – Central Tendency
- Chapter # 04 – Dispersion and Skewness
- Chapter # 05 – Correlation, Regression and Method of Least Square for Curve Fitting
- Chapter # 06 – Index Number
- Chapter # 07 – Set Theory
- Chapter # 08 – Probability Theory
- Chapter # 09 – Random Variable and Probability Distribution
- Chapter # 10 – Sampling
- Chapter # 11 – Test of Significance Based on Normal Distribution
- Chapter # 12 – Test of Significance Based on t-Distribution
- Chapter # 13 – Test of Association and Chi-Square

**Business Mathematics**

**Chapter # 01 – Linear, Quadratic and Simultaneous Equations****Chapter # 02 – Sequence and Series****Chapter # 03 – Matrices and Determinants****Chapter # 04 – Mathematics of Finance**

## Chapter Wise Solved Multiple Choice Questions (MCQs) of Business Math and Statistics

**Business Mathematics**

**Business Statistics**

- Chapter # 01 – Introduction of Statistics
- Chapter # 02 – Presentation of Data
- Chapter # 03 – Measures of Central Tendency
- Chapter # 04 – Measures of Dispersion
- Chapter # 05 – Index Number
- Chapter # 06 – Correlation and Regression
- Chapter # 07 – Time Series Analysis
- Chapter # 08 – Probability
- Chapter # 09 – Testing of Hypothesis and Significance
- Chapter # 10 – Sampling and Sampling Distribution
- Chapter # 11 – Association of Attributes and Chi – Square Test
- Chapter # 12 – Random Variable and Probability Distribution

## Important Short Questions for Annual and Supplementary Exams

## Chapter Wise Notes of Business Mathematics

**Simple and Compound Interest**

- Introduction of Simple Interest
- Formula of Principal in Simple Interest with Example
- Formula of Rate in Simple Interest with Example
- Formula of Time in Simple Interest with Example
- Simple Interest Practice Question with Answers
- Introduction of Compound Interest
- Compound Interest for Semi-Annually Period
- Compound Interest for Quarterly Period
- Compound Interest for Daily Period
- Compound Interest for Monthly Period
- Compound Interest for Continuous Period
- Different Compound Interest for Different Period
- Compound Interest for Fraction Period
- Formula of Principle (P) in Compound Interest “ if compound interest, time and rate is given”
- Formula of Principle (P) in Compound Interest “if compound amount, time and rate is given”
- Formula of Principle (P) in Compound Interest (If difference between simple and compound interest is given)
- Formula of Rate (R) in Compound Interest “if compound interest, time and Principle is given”
- Formula of Rate (R) in Compound Interest “If compound amount, time and Principle is given”
- Formula of Time (T) in Compound Interest “If compound interest, rate and Principle is given”
- Formula of Time (T) in Compound Interest “If compound amount, rate and Principle is given”
- Compound Interest for Weekly Period
- Compound Interest for Hourly Period
- Simple and Compound Interest Questions with Answers

**Annuity **

- Introduction of Annuity
- Future Value of Ordinary Annuity Compounded Annually
- Future Value of Ordinary Annuity Compounded Semi-Annually
- Future Value of Ordinary Annuity Compounded Monthly
- Future Value of Ordinary Annuity Compounded Quarterly
- Present Value of Ordinary Annuity Compounded Annually
- Present Value of Ordinary Annuity Compounded Semi-Annually
- Present Value of Ordinary Annuity Compounded Quarterly
- Present Value of Ordinary Annuity Compounded Monthly
- Future Value of Annuity Due Compounded Annually
- Future Value of Annuity Due Compounded Quarterly
- Future Value of Annuity Due Compounded Semi-Annually
- Future Value of Annuity Due Compounded Monthly
- Present Value of Annuity Due Compounded Annually
- Present Value of Annuity Due Compounded Quarterly
- Present Value of Annuity Due Compounded Semi-Annually
- Present Value of Annuity Due Compounded Monthly

**Equations Notes **

**Quadratic Equation **

## Chapter Wise Notes of Business Statistics

**Measures of Central Tendency**

- Definition, objects and Quality of good average
- Arithmetic Mean Definition, methods and types
- Property # 01 of Arithmetic Mean
- Property # 02 of Arithmetic Mean
- Property # 03 of Arithmetic Mean
- Property # 04 of Arithmetic Mean
- Property # 05 of Arithmetic Mean
- Property # 06 of Arithmetic Mean
- Arithmetic Mean of “Individual Series or Ungroup Data” by Direct or Long Method
- Arithmetic Mean of “Individual Series or Ungroup Data” Indirect or Short-cut Method
- Arithmetic Mean of “Individual Series or Ungroup Data” by Step Deviation or Coding Method
- Arithmetic Mean of “Discrete Frequency Distribution” Group Data by Direct or long Method
- Arithmetic Mean of “Discrete Frequency Distribution” Group Data by Indirect or Short Cut Method
- Arithmetic Mean of “Discrete Frequency Distribution” Group Data by Step Deviation or Coding Method
- Arithmetic Mean of “Continuous Frequency Distribution” Group Data by Direct or Long Method
- Arithmetic Mean of “Continuous Frequency Distribution” Group Data by Short cut or Indirect Method
- Arithmetic Mean of “Continuous Frequency Distribution” Group Data by Step Deviation or Coding Method
- Calculation of One Frequency Missing in Arithmetic Mean “ Group Data”
- Calculation of Two Frequency Missing in Arithmetic Mean “ Group Data”
- Switch Step Deviation method to Direct Method in Arithmetic Mean for Group Data
- Switch Indirect Method to Direct Method in Arithmetic Mean for “Group Data”
- Switch Indirect Method to Direct Method in Arithmetic Mean for “Ungroup Data”
- Switch Step Deviation Method to Direct Method in Arithmetic Mean for “Ungroup Data”
- Advantages and Disadvantages of Arithmetic Mean
- Weighted Mean Definition, Explanation and Formula
- Direct Method of Weighted Mean with Formula and Example
- Indirect Method of Weighted Mean with Formula and Example
- Relationship between Simple Arithmetic Mean and Weighted Arithmetic Mean
- Geometric Mean Definition, Explanation and its Uses
- Geometric Mean Properties
- Geometric Mean Formula with Explanation
- Geometric Mean for Individual Series or Ungroup Data
- Geometric Mean for Group Data (Discrete Distribution)
- Geometric Mean for Group Data (Continuous Distribution)

**Correlation and Co-efficient of Correlation**

- Correlation definition with examples
- Simple, Partial and Multiple Correlation
- Types of Correlation
- Co-efficient of Correlation
- Degree of Correlation