What Is Covered in These MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2)?
These MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2) cover every chapter of the Part 2 textbook with step-by-step answers. Each exercise is solved in the same order as your book, so you can open this page, find your exercise number, and compare your working line by line.
Part 1 vs Part 2: What the Mathematics and Statistics Book Split Means
The Class 11 Mathematics and Statistics course is printed as two separate books. Part 1 carries one set of chapters, and Part 2 carries the rest, including the statistics chapters and calculus chapters such as limits and differentiation [verify the exact split against the current textbook edition]. This page deals only with Part 2. If a chapter you are looking for is missing here, check whether it actually belongs to Part 1 before assuming it has been left out.
A useful solution page does more than print final answers. For every question you get:
- Exercise-wise answers numbered exactly like the textbook.
- Working shown step by step, for example writing the quartile formula first, then substituting the values, then simplifying.
- A short reason for each step, so you learn why a method works and not only what the answer is.
Why MSBSHSE Solutions for Class 11 Mathematics Statistics2 Matter for Self-Study
These solutions help Commerce, Arts and Science students who follow the state board Part 2 textbook, and students studying the Marathi translation of the same book [verify medium availability]. Say you solved a standard deviation question and got 4.2 while the book shows 2.4. Comparing steps in the solutions reveals whether you slipped while squaring the deviations or while dividing by n, something a bare answer key would never show.
Treat these MSBSHSE Class 11 Mathematics Statistics2 solutions as a checking and learning tool. Attempt every exercise yourself first, mark the questions that went wrong, and only then read the worked steps. That habit builds exam speed; copying solutions builds nothing.
Chapter-wise MSBSHSE Solutions for Class 11 Mathematics Statistics Part 2
The MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2) are arranged here chapter by chapter, so you can move from a textbook exercise straight to its worked answer. The table below is the main index for this page: it lists every Part 2 chapter, the exercises inside it, and the topics you will practise in each. Titles and exercise counts follow the current textbook edition [verify].
| Chapter | Title | Exercises | Main Topics |
|---|---|---|---|
| 1 | Complex Numbers | 4 + miscellaneous | Powers of i, square roots of negative numbers, conjugates, quadratic equations |
| 2 | Sequences and Series | 4 + miscellaneous | Arithmetic progression, geometric progression, arithmetic and geometric means |
| 3 | Partition Values | 3 + miscellaneous | Quartiles, deciles, percentiles, quartile deviation |
| 4 | Measures of Dispersion | 3 + miscellaneous | Range, mean deviation, variance, standard deviation, coefficient of variation |
| 5 | Correlation | 2 + miscellaneous | Scatter diagram, Karl Pearson's coefficient, Spearman's rank method |
| 6 | Index Numbers | 2 + miscellaneous | Price index numbers, Laspeyres and Paasche methods, cost of living index |
| 7 | Probability | 4 + miscellaneous | Sample space, events, addition theorem, conditional probability |
| 8 | Limits | 5 + miscellaneous | Limit of a function, standard limits, factorisation and rationalisation |
| 9 | Continuity | 2 + miscellaneous | Continuity at a point and over an interval, types of discontinuity |
| 10 | Differentiation | 5 + miscellaneous | Derivative from first principles, rules of differentiation, standard derivatives |
Statistics Chapters in the Part 2 Textbook
Chapters 3 to 6 are the pure statistics chapters: partition values, measures of dispersion, correlation and index numbers. Their methods are distinct from algebra; you work with ordered data, frequency tables and index formulas rather than equations in x [verify]. A typical question asks for Q1 and Q3 of ten observations, and marks are awarded for the ordered data, the formula, the substitution and the final interpretation.
Algebra and Calculus Chapters in the Part 2 Textbook
Chapters 1, 2, 7, 8, 9 and 10 cover complex numbers, sequences and series, probability, limits, continuity and differentiation, as the current Part 2 book arranges them [verify]. These chapters build on each other: limits feed into continuity, and continuity feeds into differentiation, so revise them in that order rather than at random.
Exercise Numbering and How to Navigate This Index
Use the chapter-wise MSBSHSE Solutions for Class 11 Mathematics Statistics Part 2 index like this: the answer to Exercise 3.2 sits under Chapter 3, Partition Values, second exercise, and Miscellaneous Exercise 3, a mixed revision set, comes after all main exercises of that chapter. Solution numbers always follow the textbook's chapter.exercise pattern, so Exercise 4.1 must belong to Measures of Dispersion, never to a Part 1 chapter. If your book numbers an exercise differently, check the edition year printed near the title page, because chapters are occasionally renumbered in new editions [verify].
Class 11 Mathematics and Statistics Part 2 Syllabus: Topic-wise Guidance
The MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2) follow the Part 2 syllabus chapter by chapter, and this guide explains what each topic actually demands before you open an exercise. Knowing what a chapter tests, and how examiners award marks, makes your practice time far more productive.
Statistics Chapters: Partition Values, Measures of Dispersion, Correlation and Index Numbers
These four chapters work with data. Partition Values asks you to compute quartiles, deciles and percentiles for ungrouped and grouped data; a typical question gives ten observations and asks for Q1 and Q3. Measures of Dispersion asks
Key Formulas and Concepts in the Statistics Part 2 Chapters
The MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2) place heavy weight on statistics formulas, so it pays to keep them in one place and revise them daily. Below are the core formulas from the Part 2 statistics chapters, written the way you should present them in the answer sheet. [verify the exact notation against your textbook edition.]
Formula List for the Statistics Chapters
Partition Values: for ungrouped data arranged in ascending order, the position of Q1 is (N + 1)/4 and the position of Q3 is 3(N + 1)/4. If the position is not a whole number, take a weighted average of the two nearest observations. For grouped data, use Q1 = L + ((N/4 − cf) / f) × h, where L is the lower class boundary of the quartile class, cf is the cumulative frequency before it, f is its frequency and h is the class width. Q3 uses 3N/4 in place of N/4.
Measures of Dispersion: range = highest value − lowest value. Mean deviation = Σ|x − x̄| / n for ungrouped data, and Σf|x − x̄| / Σf for grouped data. Variance = Σ(x − x̄)² / n (or Σf(x − x̄)² / Σf for grouped data), and standard deviation is the positive square root of variance. A common mistake is forgetting the modulus sign in mean deviation; the fix is to always take the absolute value before adding.
Correlation: Karl Pearson's coefficient is r = Σxy / (n × σx × σy) when deviations are taken from actual means, or r = Σdx·dy / √(Σdx² × Σdy²) with deviations from assumed means. The value of r always lies between −1 and +1. If your answer falls outside this range, recheck the substitution; this is the fastest self-check in the chapter.
Index Numbers: the simple price index for a year is (price in the current year / price in the base year) × 100. Laspeyres' index uses base-year quantities as weights, while Paasche's index uses current-year quantities. [verify which index number methods are prescribed in the current textbook.]
When working through the MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2), write the formula first, then substitute values in brackets, and state the final answer with interpretation where the question asks for it (for example, "r = 0.9 indicates a strong positive correlation"). Examiners typically award separate marks for the formula, the substitution and the final result, so each stage must be visible. [verify the exact mark split from a recent question paper.]
Frequently Asked Questions
What are MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2)?
They are step-by-step answers to every exercise in the Part 2 textbook of the state board Class 11 Mathematics and Statistics course. Each solution follows the same question numbering as your book, shows the formula first, then substitution and simplification, so you can check your own working line by line instead of copying final answers.
Which chapters are included in these MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2)?
The page covers all chapters printed in the Part 2 book, which typically includes the statistics chapters along with calculus topics such as limits and differentiation [verify the exact chapter split against the current textbook edition]. If a chapter seems missing, confirm whether it belongs to Part 1 before assuming it has been left out of these solutions.
How should I use the MSBSHSE Solutions for Class 11 Mathematics (Mathematics Statistics2) while studying?
Attempt every exercise on your own first, then open the solutions only to check. Mark the questions where your answer differs, and compare each step to find exactly where you slipped, for example squaring deviations wrongly in a standard deviation problem. This turns the solutions into a learning tool rather than a shortcut.
Are these solutions useful for Commerce and Arts students as well?
Yes. The Part 2 Mathematics and Statistics textbook is studied by Commerce, Arts and Science streams, and the solutions follow the same book for all of them. Students using the Marathi medium translation of the same textbook can also follow the identical question numbering [verify medium availability]. The methods explained apply regardless of your stream.
Do the solutions show only final answers or full working?
Full working is shown for every question. For example, in a quartile question the solutions first state the quartile formula, then substitute the given values, and then simplify with a short reason for each step. This helps you understand why a method works, which is what examiners look for when awarding steps marks.
Can I rely on these solutions for Class 11 Mathematics Statistics2 for exam revision?
Yes, as a checking tool during revision. Re-solve marked questions from your earlier mistakes, verify each step against the solutions, and rewrite any method you got wrong in your own words. Since answers follow the textbook exercise order, revision stays aligned with what your teacher and the state board exam expect.