Key to Business Statistics for I.Com Part 2 is a complete solution manual covering both Subjective and Objective solutions for all 5 chapters of the Business Statistics textbook. Authored by Muhammad Abdullah (M.Sc. Statistics, Assistant Professor, Government College of Commerce, Faisalabad), this key book is widely used by I.Com Second Year students across Punjab for exam preparation and self-study.
For I.Com Part 2 students preparing for annual Punjab Board exams, this key book covers solved long questions (subjective) as well as MCQs and short objective answers. It helps students understand statistical concepts, verify their calculations, and practice the full exam format before the board exam.
Book Overview
- Class: 12 (2nd Year / Part 2)
- Subject: Business Statistics (Key / Solution Manual)
- Category: I.Com
- Board: Punjab Board
- Author: Muhammad Abdullah
- Total Chapters: 5
- Solutions: Subjective + Objective
- Format: PDF
Chapter List
Chapter 1. Introduction
Solved subjective and objective questions covering the basics of statistics including definition, scope, importance, and limitations of statistics in business. Includes solutions for questions on data collection, types of data, population and sample concepts, and statistical methods used in commerce.
Chapter 2. Diagrammatic and Graphic Representation of Data
Complete solutions for questions on presenting data through bar charts, pie charts, histograms, frequency polygons, and ogives. Subjective solutions include step-by-step construction of diagrams and graphs while objective solutions cover MCQs on interpreting and identifying different types of data representations.
Chapter 3. Measures of Location or Central Tendency
Fully solved problems on arithmetic mean, geometric mean, harmonic mean, median, and mode for both ungrouped and grouped data. Solutions show complete working for all formulas, class boundaries, cumulative frequencies, and weighted averages. Objective section covers MCQs on properties and applications of each measure.
Chapter 4. Index Numbers
Step-by-step solved problems on simple and composite index numbers including Laspeyre’s, Paasche’s, Fisher’s Ideal, and Marshall-Edgeworth price index numbers. Solutions cover quantity index numbers, cost of living index, and consumer price index with full working and interpretation for board exam standard answers.
Chapter 5. Probability
Fully solved exercises on basic probability concepts including sample space, events, addition and multiplication rules, conditional probability, and Bayes’ theorem. Solutions cover both theoretical problems and applied business probability questions. Objective section includes solved MCQs on probability laws and calculations.
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Who Should Read This Book
This key book is for I.Com Part 2 (Second Year) students studying Business Statistics under Punjab Board. It is ideal for students who want to check both long-question answers and MCQ solutions, understand correct statistical procedures, and prepare for the full annual board exam format. Teachers can also use it as a reference for model solutions.
Applicable Boards
This key book follows the Business Statistics syllabus for I.Com Part 2 under Punjab Board and is applicable across all Punjab boards including Lahore Board, Faisalabad Board, Multan Board, Gujranwala Board, Rawalpindi Board, Bahawalpur Board, Sahiwal Board, Sargodha Board, and DG Khan Board.
FAQs
Is this a key book or the main Business Statistics textbook?
This is the Key to Business Statistics — a solution manual containing both subjective (long question) and objective (MCQ) solutions for all 5 chapters. It is a companion to the main Business Statistics textbook for I.Com Part 2.
Does this key book cover both subjective and objective questions?
Yes, this key book covers both sections. It includes solved long questions (subjective solutions) and solved MCQs and short answers (objective solutions) for all 5 chapters.
How many chapters does this key book cover?
This key book covers all 5 chapters: Introduction, Diagrammatic and Graphic Representation of Data, Measures of Location or Central Tendency, Index Numbers, and Probability.
Which Punjab boards can use this key book?
Students from all Punjab boards — including Lahore, Faisalabad, Multan, Gujranwala, Rawalpindi, Bahawalpur, Sahiwal, Sargodha, and DG Khan — studying Business Statistics in I.Com Part 2 can use this key book for exam preparation.