Business Mathematics & Statistics Notes for B.Com (Part-I) / ADP / ADC / BS / BBA

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.

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

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

Punjab University Past Question Papers

Annual 

  1. 2014
  2. 2015
  3. 2016
  4. 2017
  5. 2018
  6. 2019
  7. 2020
  8. 2021
  9. 2022

Supplementary 

  1. 2014
  2. 2015
  3. 2016
  4. 2017
  5. 2018
  6. 2019
  7. 2020

Solution of  Business Mathematics and Statistics by Muhammad Abdullah 

Business Statistics 

  1. Chapter # 01 – Introduction 
  2. Chapter # 03 – Measures of Central Tendency
  3. Chapter # 04 – Measures of Dispersion
  4. Chapter # 05 – Correlation and Regression
  5. Chapter # 06 – Index Number
  6. Chapter # 07 – Probability 
  7. Chapter # 08 – Random Variable and Probability Distribution
  8. Chapter # 09 – Sampling and Sampling Distribution
  9. Chapter # 10 – Test of Hypotheses and Significance
  10. Chapter # 11 – Association of Attributes and Chi Square Test
  11. Chapter # 12 – Analysis of Time Series 

Business Mathematics

  1. Chapter # 01 – Linear Equation
  2. Chapter # 02 – Simultaneous Equations
  3. Chapter # 03 – Quadratic Equations
  4. Chapter # 04 – Matrix
  5. Chapter # 05 – Sequences and Series
  6. Chapter # 06 – Factorial, Permutation and Combinations
  7. Chapter # 07 – Percentages, Discount and Commission
  8. Chapter # 08 – Simple and Compound Interest
  9. Chapter # 09 – Annuity
  10. Chapter # 10 – Differentiation

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

Business Statistics

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

Business Mathematics

  1. Chapter # 01 – Linear, Quadratic and Simultaneous Equations
  2. Chapter # 02 – Sequence and Series 
  3. Chapter # 03 – Matrices and Determinants 
  4. Chapter # 04 – Mathematics of Finance

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

Business Mathematics

  1. Simple and Compound Interest
  2. Annuity
  3. Linear Equations
  4. Quadratic Equations

Business Statistics

  1. Chapter # 01 – Introduction of Statistics 
  2. Chapter # 02 – Presentation of Data
  3. Chapter # 03 – Measures of Central Tendency
  4. Chapter # 04 – Measures of Dispersion
  5. Chapter # 05 – Index Number 
  6. Chapter # 06 – Correlation and Regression
  7. Chapter # 07 – Time Series Analysis
  8. Chapter # 08 – Probability
  9. Chapter # 09 – Testing of Hypothesis and Significance
  10. Chapter # 10 – Sampling and Sampling Distribution
  11. Chapter # 11 – Association of Attributes and Chi – Square Test
  12. 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

  1. Introduction of Simple Interest
  2. Formula of  Principal in Simple Interest with Example
  3. Formula of Rate in Simple Interest with Example
  4. Formula of Time in Simple Interest with Example
  5. Simple Interest Practice Question with Answers
  6. Introduction of Compound Interest
  7. Compound Interest for Semi-Annually Period
  8. Compound Interest for Quarterly Period
  9. Compound Interest for Daily Period
  10. Compound Interest for Monthly Period
  11. Compound Interest for Continuous Period
  12. Different Compound Interest for Different Period
  13. Compound Interest for Fraction Period
  14. Formula of Principle (P) in Compound Interest “ if compound interest, time and rate is given”
  15. Formula of Principle (P) in Compound Interest “if  compound amount, time and rate is given”
  16. Formula of Principle (P) in Compound Interest (If difference between simple and compound interest is given)
  17. Formula of Rate (R) in Compound Interest “if compound interest, time and Principle is given”
  18. Formula of Rate (R) in Compound Interest “If compound amount, time and Principle is given”
  19. Formula of Time (T) in Compound Interest “If compound interest, rate and Principle is given”
  20. Formula of Time (T) in Compound Interest “If compound amount, rate and Principle is given”
  21. Compound Interest for Weekly Period
  22. Compound Interest for Hourly Period
  23. Simple and Compound Interest Questions with Answers

Annuity 

  1. Introduction of Annuity
  2. Future Value of Ordinary Annuity Compounded Annually
  3. Future Value of Ordinary Annuity Compounded Semi-Annually
  4. Future Value of Ordinary Annuity Compounded Monthly
  5. Future Value of Ordinary Annuity Compounded Quarterly
  6. Present Value of Ordinary Annuity Compounded Annually
  7. Present Value of Ordinary Annuity Compounded Semi-Annually
  8. Present Value of Ordinary Annuity Compounded Quarterly
  9. Present Value of Ordinary Annuity Compounded Monthly
  10. Future Value of Annuity Due Compounded Annually
  11. Future Value of Annuity Due Compounded Quarterly
  12. Future Value of Annuity Due Compounded Semi-Annually
  13. Future Value of Annuity Due Compounded Monthly
  14. Present Value of Annuity Due Compounded Annually
  15. Present Value of Annuity Due Compounded Quarterly
  16. Present Value of Annuity Due Compounded Semi-Annually
  17. Present Value of Annuity Due Compounded Monthly

Equations Notes 

Quadratic Equation 

  1. Equations Reducible to Quadratic Form
  2. Nature of the Roots of a Quadratic Equation

Chapter Wise Notes of Business Statistics

Measures of Central Tendency

  1. Definition, objects and Quality of good average
  2. Arithmetic Mean Definition, methods and types
  3. Property # 01 of Arithmetic Mean
  4. Property # 02 of Arithmetic Mean
  5. Property # 03 of Arithmetic Mean
  6. Property # 04 of Arithmetic Mean
  7. Property # 05 of Arithmetic Mean
  8. Property # 06 of Arithmetic Mean
  9. Arithmetic Mean of “Individual Series or Ungroup Data” by Direct or Long Method
  10. Arithmetic Mean of “Individual Series or Ungroup Data” Indirect or Short-cut Method
  11. Arithmetic Mean of “Individual Series or Ungroup Data” by Step Deviation or Coding Method
  12.  Arithmetic Mean  of “Discrete Frequency Distribution” Group Data by Direct or long Method
  13. Arithmetic Mean  of “Discrete Frequency Distribution” Group Data by Indirect or  Short Cut Method
  14. Arithmetic Mean  of “Discrete Frequency Distribution” Group Data by Step Deviation or Coding Method
  15. Arithmetic Mean  of “Continuous Frequency Distribution” Group Data by Direct or Long Method
  16. Arithmetic Mean  of “Continuous Frequency Distribution” Group Data by Short cut or Indirect Method
  17. Arithmetic Mean  of “Continuous Frequency Distribution” Group Data by Step Deviation or Coding Method
  18. Calculation of One Frequency Missing in Arithmetic Mean “ Group Data”
  19. Calculation of Two Frequency Missing in Arithmetic Mean “ Group Data”
  20. Switch Step Deviation method to Direct Method in Arithmetic Mean for Group Data
  21. Switch Indirect Method to Direct Method in Arithmetic Mean for “Group Data”
  22. Switch Indirect Method to Direct Method in Arithmetic Mean for “Ungroup Data”
  23. Switch Step Deviation Method to Direct Method in Arithmetic Mean for “Ungroup Data”
  24. Advantages and Disadvantages of Arithmetic Mean
  25. Weighted Mean Definition, Explanation and Formula
  26. Direct Method of Weighted Mean with Formula and Example
  27. Indirect Method of Weighted Mean with Formula and Example
  28. Relationship between Simple Arithmetic Mean and Weighted Arithmetic Mean
  29. Geometric Mean Definition, Explanation and its Uses
  30. Geometric Mean Properties
  31. Geometric Mean Formula with Explanation
  32. Geometric Mean for Individual Series or Ungroup Data
  33. Geometric Mean for Group Data (Discrete Distribution)
  34. Geometric Mean for Group Data (Continuous Distribution)

Correlation and Co-efficient of Correlation

  1. Correlation definition with examples
  2. Simple, Partial and Multiple Correlation
  3. Types of Correlation
  4. Co-efficient of Correlation
  5. Degree of Correlation

Sampling and Sampling Distribution

  1. Sampling Distribution Difference of Two Means With Replacement
  2. Sampling Distribution Difference of Two Means Without Replacement
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