Business Mathematics and Statistics
Build a strong foundation in mathematical and statistical tools for business decision-making and analysis.

Track
Service Management
Level
Foundation
Language
English
Duration
30 hours
Learning Mode
Learn at ALC or at Home
Introduction
- Introduce the fundamental concepts and applications of mathematics in the business context.
- Familiarize with various types of data relevant to business operations and the sources from which such data can be collected.
- Equip with the skills to organize data through frequency distribution and represent it visually using charts and graphs.
- Interpret measures of central tendency (mean, median, mode) in the context of business, providing them with tools to summarize and analyze data distributions.
- Develop proficiency in using measures of dispersion, skewness, and standard deviation for analyzing variability and risk in business data.
What you'll learn ?
- Articulate the importance of mathematics in business and apply mathematical concepts to real-world scenarios.
- Demonstrate the ability to identify and categorize different types of data relevant to business operations, and critically evaluate appropriate data sources.
- Create and interpret frequency distributions, charts, and graphs, providing meaningful insights into business data.
- Apply measures of central tendency to analyze and summarize business-related data sets, facilitating effective decision-making in various business contexts.
- Utilize measures of dispersion, skewness, and standard deviation to assess variability and risk in business data, contributing to more informed and strategic business decisions.
Syllabus
Business Statistics: Meaning, Scope and Importance
- Introduction to Probability
- Introduction to Statistics
- Monty Hall Problem
- History of Statistics
- Indian Contribution to Statistics
- Arab Contribution to Statistics
- European Contribution to Statistics
- Three Waves of Statistics
- Modern Day Statistics
- Data Collection
- Methods or Methodology for Collection of Data
- Types of Statistics
- Nature of Statistics
- Conclusion
Business Statistics: Meaning, Scope and Importance 2
- Applications of Statistics
- Real Life Applications of Statistics
- Application of statistics across the world
- Limitations of Statistics
- Importance of Statistics
Type of Data and Data Sources
- Attribute Data
- What is Data?
- Attribute Data
- Variable Data
- Examples of Attribute and Variable Data
- Primary Data
- Secondary Data
- Definition of Primary and Secondary Data
- Pros and Cons of Primary Data
- Pros and Cons of Secondary Data
- Primary Data Collection Methods
- Secondary Data Collection Methods
- Primary Data Collection Methods Continued
- Census and Sampling
- Key Differences Between Census and Sampling
Frequency Distribution, Charts and Graphs 1
- Classification of Data
- Objectives and Types of Classification of Data
- Tabulation: Objectives and Types
- Types of Tabulation
- The Library of Congress Classification
- Graphs and Charts
- Creating Charts and Graphs
- Line Graph
- Bar Graph
- Pie Charts
- Cartesian Graphs
- Venn Diagrams
Frequency Distribution, Charts and Graphs 2
- Histogram and It’s Types
- Parts of Histogram
- Common Shapes of Histogram
- How to Make an Histogram
- Frequency Distribution
- Data Analysis
- Grouped and Ungrouped Data
Measures of Central Tendency 1
- Measures of Central Tendency
- Mean / Arithmetic Mean
- Applications of Arithmetic Mean
- Advantages / disadvantage of Arithmetic Mean
- Geometric Mean
- Examples of Geometric Mean
- Applications of Geometric Mean
- Advantages / Disadvantages of Geometric Mean
- Harmonic Mean
- Applications of Harmonic Mean
- Advantages / Disadvantages of Harmonic Mean
- Relation Between Arithmetic, Geometric and Harmonic Mean
Measures of Central Tendency 2
- Median
- Calculating Median
- Applications of Median
- Applications of Median in Real Life
- Key Advantages of Median
- Key Disadvantages of Median
- Mode
- Calculating Mode - Individual Observations
- Discrete Series
- Continuous Series
- Grouping Method
- Applications of Mode
- Case Study: Mode
- Key Advantages of Mode
- Key Disadvantages of Mode
- Relation Between Median and Mode
Measures of Dispersion, Skewness, Standard Deviation 1
- Meaning of Dispersion
- Dispersion Continued
- Calculating Dispersion
- Measures of Dispersion
- Absolute Measures & Relative Measures
- Range
- Advantages and Disadvantages of Range
- Applications of Range
- Coefficient of Range
- Mean Deviation
- Calculating Mean Deviation
- Advantages and Disadvantages of Mean Deviation
- Applications of Mean Deviation
Measures of Dispersion, Skewness, Standard Deviation 2
- Coefficient of mean deviation
- Calculating Coefficient of Mean Deviation
- Quartile deviation and the coefficient of quartile deviation
- Calculating Quartile deviation and the coefficient of quartile deviation
- Standard deviation and Variance
- Standard deviation - What does it means.
- Coefficient of variation
- Skewness
- Measures of skewness
Probability 1
- Understanding Probabilities
- Origins of Probability
- History of Probability
- What is Probability?
- The Need of Probability
Probability 2
- Approaches to Probabilities
- The Classical Approach
- The Relative Frequencies Approach
- The Simulation Approach
- Case Study
- Overview of Set Notations
- Equalities/ TRANSLATING INEQUALITIES
- Sample Spaces
- Sets
- Putting Sets Together: Unions/ Intersections/ Complements
Normal Distribution and Sampling Distribution 1
- About Normal Distribution
- Definition of Terms and Statistical Symbols Used
- Properties of Normal Distribution
- Normality Testing in Minitab Software
- About Standard Normal Distribution
- Standardization – How to Calculate Z Scores
- About Sampling Distribution
Normal Distribution and Sampling Distribution 2
- Understanding Normal Distribution
- Kurtosis and Skewness
- The Empirical Rule
- The Normal Distribution Explained
- The Normal Distribution Explained in Advance
- Examples of Normal Distribution
- The Central Limit Theorem(CLT)
- Problems and Solutions of Normal Distribution
- Understanding Standard Normal Distribution in detail
- Area of Standard Normal Distribution
- Understanding Standard Normal Distribution
- Def. of Sampling Distribution
- The Advantages Associated With Sampling
- Characteristics of Sampling Distribution
- Functions of Sampling Distribution
- Parameters of Sampling Distribution
- Sampling Methods
Mathematics for Business 1
- Introduction to Interest
- Simple interest
- Compound interest
- Difference between simple and compound interest
- Simple interest Applications
- Compound interest concepts
- Compound interest Applications
- Examples of simple interest
- Examples of compound interest
Mathematics for Business 2
- Introduction to Depreciation
- WHY DO ASSETS DEPRECIATE?
- What Can and Cannot Be Depreciated?
- Which asset does not depreciate?
- Features of Depreciation
- Causes of Depreciation
- Types of depreciation
- Straight Line Method vs Written Down Value Method
- How Depreciation is Calculated
- NPV
- What is NPV?
- Advantages of Net present value method
- Limitations of Net present value method
Mathematics for Business 3
- About Break-Even Analysis
- Formula to Calculate Break-Even Point
- Role of the Concept of Break-Even Analysis in Managerial Decision Making
- Benefits of Break-Even Analysis
- About Business Forecasting
- Elements of Forecasting
- Types of Forecasting: Qualitative - Jury, Delphi method
- Quantitative - Linear Relation Method
- Forecasting Problems
- Meaning of Demand Forecasting
- Objectives of Demand Forecasting
- Methods of Demand Forecasting
- Limitations of Demand Forecasting
Mathematics for Business 4
- About Fixed Costs and Variable Costs
- About Break-Even Analysis and Involved Calculations
- Margin of Safety
- Role of the Concept of Break-Even Analysis in Managerial Decision Making
- Benefits of Break-Even Analysis
- About Business Forecasting
- Elements of Forecasting
- Types of Forecasting / Qualitative Forecasting
- Quantitative Forecasting
- Forecasting Problems
- Meaning of Demand Forecasting
- Objectives of Demand Forecasting / Methods of Demand Forecasting
- Limitations of Demand Forecasting
Probability 3
- Probabilities Involving Multiple Events
- Probability Notation
- Marginal Probabilities
- Union Probabilities
- Intersectional or Joint Probabilities
- Complement Probabilities
- Conditional Probabilities
- The Rules of Probability
Probability 4
- Odds vs Probability
- Picturing Probability
- Venn Diagrams
- History of Venn Diagrams
- Tree Diagrams
- Misconceptions about Probabilities
Work-Centric Approach
The academic approach of the course focuses on ‘work-centric’ education. With this hands-on approach, derive knowledge from and while working to make it more wholesome, delightful and useful. The ultimate objective is to empower learners to also engage in socially useful and productive work. It aims at bringing learners closer to their rewarding careers as well as to the development of the community.
- Step 1: Learners are given an overview of the course and its connection to life and work
- Step 2: Learners are exposed to the specific tool(s) used in the course through the various real-life applications of the tool(s).
- Step 3: Learners are acquainted with the careers and the hierarchy of roles they can perform at workplaces after attaining increasing levels of mastery over the tool(s).
- Step 4: Learners are acquainted with the architecture of the tool or tool map so as to appreciate various parts of the tool, their functions, utility and inter-relations.
- Step 5: Learners are exposed to simple application development methodology by using the tool at the beginner’s level.
- Step 6: Learners perform the differential skills related to the use of the tool to improve the given ready-made industry-standard outputs.
- Step 7: Learners are engaged in appreciation of real-life case studies developed by the experts.
- Step 8: Learners are encouraged to proceed from appreciation to imitation of the experts.
- Step 9: After the imitation experience, they are required to improve the expert’s outputs so that they proceed from mere imitation to emulation.
- Step 10: Emulation is taken a level further from working with differential skills towards the visualization and creation of a complete output according to the requirements provided. (Long Assignments)
- Step 11: Understanding the requirements, communicating one’s own thoughts and presenting are important skills required in facing an interview for securing a work order/job. For instilling these skills, learners are presented with various subject-specific technical as well as HR-oriented questions and encouraged to answer them.
- Step 12: Finally, they develop the integral skills involving optimal methods and best practices to produce useful outputs right from scratch, publish them in their ePortfolio and thereby proceed from emulation to self-expression, from self-expression to self-confidence and from self-confidence to self-reliance and self-esteem!