Assam HS Class 11-12 Business Mathematics & Statistics study guide
Assam HS Class 11-12 Business Mathematics & Statistics · Work through your exam, one topic at a time.
Business Mathematics & Statistics is the elective/applied-mathematics paper offered under the Assam Higher Secondary (AHSEC) curriculum for Classes 11 and 12, typically taken by commerce-stream students who want quantitative skills rather than the pure-science mathematics route. It suits candidates who intend to go on to B.Com, BBA, CA/CS foundation study, or any degree where you must read a balance sheet, compute interest, or interpret a table of data. The Assam HS Class 11-12 Business Mathematics & Statistics study guide has 11 sections and about 3,808 words.
01Sets, Relations and Functions in Business
Sets, relations and functions are the vocabulary business mathematics uses to describe choices, mappings and economic links. The exam tests set operations, the difference between a relation and a function, domain and range, and the construction of demand, cost, revenue and profit functions from a business situation.
370 words, about 2 min02Matrices and Determinants with Business Applications
Matrices and determinants turn systems of business equations into compact arrays that can be added, multiplied and solved. The exam tests order and conformability, matrix operations, 2 × 2 and 3 × 3 determinants, inverses and Cramer’s rule, usually through sales, cost or resource-allocation problems.
385 words, about 2 min03Sequence and Series in Finance
Sequence and series questions test whether you can recognise a pattern, write its nth term and sum it, and then apply that to financial growth. Arithmetic progressions model fixed increments; geometric progressions model percentage growth, compound interest and annuities.
351 words, about 2 min04Permutations and Combinations
Permutations and combinations count arrangements and selections without listing them. The exam tests the fundamental principle of counting, factorial notation, restricted arrangements, and the decision whether order matters - a distinction that decides between nPr and nCr.
317 words, about 2 min05Mathematics of Finance
Mathematics of finance applies progressions to interest, annuities and valuation. The exam tests conversion of rates to the compounding period, the difference between simple and compound interest, and the present and future value of ordinary annuities.
336 words, about 2 min06Calculus and Its Business Applications
Calculus in business measures change: marginal cost, marginal revenue, elasticity, and the output that maximises profit or minimises average cost. The exam tests limits, standard derivatives, first- and second-order conditions, and basic integration as the reverse of differentiation.
360 words, about 2 min07Introduction to Statistics
Introduction to Statistics covers how business data are collected, organised and presented before any calculation. The exam tests the distinction between primary and secondary data, census and sample methods, classification, tabulation and the construction of frequency distributions and simple charts.
355 words, about 2 min08Measures of Central Tendency and Dispersion
Measures of central tendency and dispersion summarise a business data set by a typical value and by how spread out it is. The exam tests mean, median and mode for raw and grouped data, quartiles, range, mean deviation, variance, standard deviation and the coefficient of variation.
341 words, about 2 min09Correlation and Regression
Correlation and regression describe whether two business variables move together and how one can be predicted from the other. The exam tests scatter diagrams, Karl Pearson’s coefficient, rank correlation, the two regression lines and the interpretation of slope and r².
371 words, about 2 min10Time Series and Index Numbers
Time series and index numbers analyse change over time. The exam tests the components of a series, moving-average trend, seasonal variation, and the construction and interpretation of Laspeyres, Paasche and Fisher index numbers.
330 words, about 2 min11Probability and Its Business Applications
Probability quantifies business risk and supports decisions under uncertainty. The exam tests sample spaces, the addition and multiplication rules, conditional probability, independence and expected value in contexts such as defects, sales outcomes and insurance.
292 words, about 1 min