Business Statistics
Units 1β6 of a 14-unit syllabus β everything from a frequency table to the sampling distribution of a proportion. Built from the syllabus, the five lecture decks, your five sets of class notes, the Levin textbook, and both 2025-26 question papers with their official answer keys.
The two 2025-26 papers are the same paper twice β identical seven-slot skeleton, only the numbers and the story change. Seven of those slots sit inside Units 1β6, and they are worth 31 of the 50 marks: sampling distribution of the mean, Poisson, normal distribution, descriptive-statistics interpretation, sample size, Bayes, and standard error.
Learn those seven shapes and you have written most of a paper before you read it. All 16 in-scope questions worked in full β Β· 44 extra problems solved step by step β
No previous mid-term paper was supplied. The two papers on this site are the Final Examination (29 Nov 2025) and the Re-Examination (06 Feb 2026), each covering all 14 units. Only their Units 1β6 questions are worked here; the rest are listed and labelled out of scope so you can see exactly what was left out. Treat the seven recurring shapes as evidence of how this department writes questions, not as a guaranteed mid-term structure.
Each concept runs: Understand β Method β Worked example β Common mistakes β Sources. Each solved paper question runs: original question β full solution in your class's notation β marks breakdown against the official key.
Press / to search. Every citation β e.g. Levin p. 286, Deck slide 8 or Class notes p. 2 β opens the exact page in a panel on the right. β/β to page, Esc to close.
Syllabus Units
Problem Solving β βHow to Solve Anythingβ
One page per unit, built topic by topic. Each topic opens with a master method β every formula typeset properly, the fixed solving routine, a pattern-recognition table telling you which shape you are looking at, how each of your sources writes it, and the traps β then ten questions worked in full in a two-column why / what to write layout, then ten more to attempt cold with the answer one click away.
Questions come from Levin's own exercise sets β every one the textbook prints on that topic, solved, with the page number against it so you can open the original. Where the book sets fewer than ten, extra exam-shaped questions are added.
Unit 04 β 6 topics, 84 questions (Poisson + normal, 9 marks) β
Unit 05 β 4 topics, 54 questions (sampling distribution of the mean, 7 marks) β
Unit 06 β 3 topics, 40 questions (sample size, 5 marks) β
Unit 03 β 4 topics, 55 questions (Bayes, 5 marks) β
Unit 02 β 4 topics, 54 questions (the Q3 a reading) β
Unit 01 β 5 topics, 174 questions β
Revision & Practice
The seven recurring question shapes inside Units 1β6
| Slot | What it always is | Unit | Marks | Solved |
|---|---|---|---|---|
| Q1 (a) | Sampling distribution of the mean β probability that xΜ falls in a symmetric interval | 5 | 2 | Both versions |
| Q1 (b) | Poisson β "average Ξ» per interval", then P(X = 0) or P(X β₯ 1) | 4 | 4 | Both versions |
| Q2 (b) | Normal distribution β an interval probability plus a one-tail "highly successful" probability | 4 | 5 | Both versions |
| Q3 (a) | Read a table of mean / median / mode / SD / skewness / kurtosis for two service channels and interpret it | 1β2 | 5 | Both versions |
| Q3 (b) | Sample size determination β for a mean (Final) or a proportion with no prior estimate (Re-Exam) | 6 | 5 | Both versions |
| Q5 (a) | Bayes' theorem on a classifier β total probability, then the posterior, then a managerial insight | 3 | 5 | Both versions |
| Q5 (b) | Standard error of the mean, then a probability for xΜ | 5β6 | 5 | Both versions |
Q4 (a) is a half-in-scope hybrid: it builds a confidence interval (Unit 7) but the standard error it needs uses the finite population correction from Unit 5. The FPC half is worked here.
Scope of this portion
This site covers Units 1β6 β descriptive statistics, probability, probability distributions and sampling theory. Units 7β14 (estimation, hypothesis testing, two-sample tests, the F test, ANOVA and chi-square) are in the syllabus Syllabus p. 2 but belong to the Term End Examination, so nothing has been written for them.
One boundary is deliberately blurred, because your class blurred it: the "Sample Size Determination" deck is titled "Unit 6 (Part II)" Deck slide 1, while the syllabus lists "Determination of Sample Size" under Unit 7. It is taught as Unit 6, both papers asked it, so it is in scope here β see Unit 6 Concept 5.
What each unit is built from
| Unit | Lecture deck | Your class notes | Levin textbook | Exam |
|---|---|---|---|---|
| 01 β Descriptive Statistics I | Unit 1&2 deck, slides 1β49 | Grouped mean, pp. 3β4 | Ch. 2, pp. 13β72 Β· Β§3.2 mean, p. 77 | Q3 (a) |
| 02 β Descriptive Statistics II | Sample Size deck, slides 8β10 | Dispersion notes, pp. 1β5 | Β§3.7β3.10, pp. 111β136 | Q3 (a) |
| 03 β Theories of Probability | Unit 3 deck, slides 1β44 | Bayes notes, pp. 1β2 | Ch. 4, pp. 153β206 | Q5 (a) |
| 04 β Probability Distributions | Unit 4 deck, slides 1β51 | Prob. dist. notes, pp. 1β9 | Ch. 5, pp. 207β265 | Q1 (b) Β· Q2 (b) |
| 05 β Sampling Theory I | Sampling Dist. deck, slides 1β12, 19β23 | Sampling notes, pp. 1β5 | Ch. 6, pp. 267β314 | Q1 (a) Β· Q5 (b) |
| 06 β Sampling Theory II | Proportion, slides 13β18 Β· Sample Size deck, slides 1β43 | Proportion notes, pp. 6β8 Β· Precision notes, pp. 1β3 | Β§6.7, pp. 302β307 Β· Β§7.8, pp. 351β356 | Q3 (b) Β· Q5 (b) |
Unit titles and descriptions are taken word-for-word from the syllabus Syllabus pp. 1β2. Textbook page numbers are the printed page numbers of the Levin PDF and have been read off the actual pages, not inferred from the contents list.