NTU · MH3511 · Data Analysis with Computer

MH3511: pass the exams, not just read the notes

Your complete guide to Nanyang Technological University's data analysis with computer course. See where the marks are, work real practice questions, and study with an AI tutor that knows MH3511.

3 credit points Year 3 undergrad Offered Semester 2 ~50% exams Division of Mathematical Sciences

Sia generates MH3511 practice questions, walks through r basics and data in r step by step, and quizzes you on the material the exam weights most heavily.

Try a real exam-style question

Worked example

Multiple choice · solution revealed after you answer

Two groups of 12 customers each rate a product on a 1-5 ordinal scale. You want to test whether the groups differ. Which test is appropriate, and why?

Worked solution

Identify the measurement scale: a 1-5 rating is ordinal, so means and t tests are not appropriate.

Identify the design: two independent groups, not paired — equal sizes do not make them paired.
Choose the nonparametric two-independent-sample test: the Wilcoxon rank-sum test.
ANOVA would apply to three or more groups of interval data; here there are two groups of ordinal data.

The trap: Letting equal group sizes suggest a paired design, or letting 'two groups' suggest a t test regardless of scale. Design and measurement scale together choose the test. classic slip!

your whole grade
Where your grade comes from Exams 50% · Quizzes 30% · Reports 15% · Pracs 5%

One exam decides 50% of your grade. Summative assessment. This whole page is built around that.

Overview

What MH3511 is, and where it sits

MH3511 Data Analysis with Computer is NTU's applied statistics course in R, taught by the Division of Mathematical Sciences. The OBTL+ document, implemented from AY2025-2026, motivates it through business decision-making: examining data to find patterns, and learning to plot, summarise, make inferences from and present various types of data.

Nine intended learning outcomes run from writing R programs and distinguishing measurement scales, through descriptive statistics and standard plots, to confidence intervals, hypothesis tests and Type I and II errors, inference on categorical data, nonparametric alternatives, and linear regression with assumption checking.

Assessment has five parts: a group written report 15%, two one-hour short-answer quizzes at 15% each, class participation tracked via Wooclap in lab sessions 5%, and a two-hour final examination of multiple-choice and short-answer questions 50%. The course is 3 AU with 50 contact hours of lectures and laboratories, offered in Semester 2, and requires MH2500 or BS1008. The course author is Yue Mu.

How it differs from its first-year siblings. MH3511 is the hands-on complement to MH3510: less theory, more R. Every week has a lab assignment and a Wooclap session, and the participation marks are literally for showing up and doing them.

Always treat your own course outline and the exam timetable as authoritative.

Difficulty & time commitment

Is MH3511 hard, and how much time does it take?

MH3511 is manageable if you keep a weekly rhythm and treat the back half as the main event. The pattern is consistent: it starts gently and steepens, and the heaviest assessment is the part that separates grades.

Difficulty
2.8 / 5
Moderate. Gentle early, demanding back half. Hard to fail with steady work; a top grade takes consistent practice.
Exam load
50%
The exams decide most of the grade. The heaviest single component is 50%.
Weekly time
~10 hrs
Around 10 hours per week including class, across lectures, study and assessment.
R basics and describing datasteady
Inference, hypothesis testing, categorical datasteep
Multiple samples, nonparametric tests, regressionsteep

The difficulty curve and the assessment weighting point the same way: the back half is harder and worth more. Front-loading effort there is the highest-return decision in the course.

Is this course for you

Who tends to do well, and who tends to struggle

You will likely do well if

  • You attend the labs — eight Wooclap sessions is the whole participation mark.
  • You want to be able to run and read a real analysis, not derive it.
  • You can choose a test by asking what kind of data you have.
  • You pull your weight in a group of five on the report.

You may struggle if

  • You skip labs; the weekly assignment and the participation marks both live there.
  • You run tests without checking assumptions; model checking is an ILO.
  • You leave the group report late — it is 15% and rubric-marked.
  • You treat the quizzes as low-stakes; together they are 30%.
do this ↘
What top students do differently
  • Keep an R script per week that reproduces the lecture examples from scratch.
  • Build a decision table: data type and design on one axis, the right test on the other.
  • Practise interpreting p-values and intervals in one plain sentence each.
  • Check normality and equal-variance assumptions before every parametric test in your report.

Syllabus

The 13 topics, week by week

The exam-weight marker on each topic shows where the marks concentrate. The amber topics carry the highest exam weight.

1

T1 · R basics

Week 1; ILO 1

Syntax, expressions, variables, vectors, matrices and data frames.

High exam weightQuiz me on r basics →
2

T2 · Data in R

Week 2; ILO 1

Importing and subsetting data sets; loops.

High exam weightQuiz me on data in r →
3

T3 · Describing data

Week 3; ILOs 2-4

Summary statistics, boxplots, histograms, normality checks, qq-plots, outliers, transformations.

4

T4 · Sampling and confidence intervals

Week 4; ILOs 5-7

Sampling distributions, the central limit theorem, interval estimates.

High exam weightQuiz me on sampling →
5

T5 · Hypothesis testing

Week 5; ILOs 5-7

Type I and Type II errors, p-values.

6

T6 · Categorical data: proportions

Week 6; ILOs 5-7

Proportion estimates and tests; goodness-of-fit.

7

T7 · Contingency tables

Week 7; ILOs 5-7

Two-way and paired two-way tables; quiz 1.

8

T8 · Two samples

Week 8; ILOs 5-7

Independent and dependent samples; inference on mean differences.

9

T9 · Multiple samples

Week 9; ILOs 5-7

ANOVA for more than two independent samples; dependent designs.

10

T10 · Nonparametric tests I

Week 10; ILOs 5-6, 8

Quantile test, Wilcoxon rank-sum, Kruskal-Wallis; quiz 2.

11

T11 · Nonparametric tests II

Week 11; ILOs 5-6, 8

Sign test, Wilcoxon signed-rank, Friedman test.

12

T12 · Correlation and regression

Week 12; ILOs 5-6, 9

Correlation coefficient and its test; simple linear regression.

13

T13 · Regression inference

Week 13; ILOs 5-6, 9

Inference on parameters, prediction, model checking.

How it's assessed

Assessment structure

ComponentWeightFormat & timing
Continuous assessment: written project report (groups of five)15%Written project report prepared in groups of five. During the semester. Continuous assessment.
Continuous assessment: quiz 1, one-hour short-answer (ILOs 1-4)15%One-hour short-answer quiz on ILOs 1-4 (R basics, measurement scales, summary statistics, plots). Week 7. Continuous assessment; no make-up.
Continuous assessment: quiz 2, one-hour short-answer (ILOs 5-7)15%One-hour short-answer quiz on ILOs 5-7 (estimation, hypothesis testing, categorical data). Week 10. Continuous assessment; no make-up.
Final examination: two hours, MCQs and short-answer questions50%Two-hour final examination: multiple-choice and short-answer questions on all nine ILOs. Examination period. Summative assessment.
Class participation tracked via Wooclap in lab sessions (8+ sessions = 5%, 6-7 sessions = 3%)5%Class participation tracked via Wooclap during lab sessions: 8 or more sessions earns 5%, 6-7 sessions 3%. Weekly. Continuous assessment.
Continuous assessment: written project report (groups of five)15%
Written project report prepared in groups of five.
Continuous assessment: quiz 1, one-hour short-answer (ILOs 1-4)15%
One-hour short-answer quiz on ILOs 1-4 (R basics, measurement scales, summary statistics, plots).
Continuous assessment: quiz 2, one-hour short-answer (ILOs 5-7)15%
One-hour short-answer quiz on ILOs 5-7 (estimation, hypothesis testing, categorical data).
Final examination: two hours, MCQs and short-answer questions50%
Two-hour final examination: multiple-choice and short-answer questions on all nine ILOs.
Class participation tracked via Wooclap in lab sessions (8+ sessions = 5%, 6-7 sessions = 3%)5%
Class participation tracked via Wooclap during lab sessions: 8 or more sessions earns 5%, 6-7 sessions 3%.
  • The five components sum to 100 and no examination hurdle is published. There is no make-up quiz; with a medical certificate a missed component is not counted. Participation marks depend on Wooclap-tracked lab sessions: eight or more for 5%, six or seven for 3%.
  • Half the grade is a two-hour examination mixing multiple-choice and short-answer questions across all nine ILOs. The two quizzes split the first seven ILOs between them in weeks 7 and 10, so by the exam every topic except nonparametrics and regression has already been tested once.
read this! If you read nothing else

This is an exam-cram course. With the exams at 50% of the grade and the final examination: two hours, mcqs and short-answer questions alone at 50%, your result is overwhelmingly decided by how well you perform under time pressure. Summative assessment.

Final exam timing: During the examination period. Confirm the exact date and venue on your exam timetable.

How to actually pass it

A weekly rhythm, two checklists, and the traps to avoid

The course rewards consistency over cramming, and practice over re-reading. Here is the loop that works, then what to have nailed before each exam.

The weekly loop

Lab session
Attend, complete the lab assignment and the Wooclap activity.
After the lecture
Re-run the week's analysis in R on a fresh dataset.
From week 3
Start the group report: pick the dataset, assign roles, keep a shared script.
Before each quiz
Work short-answer problems on that quiz's ILOs under a one-hour clock.

Before the mid-semester checklist

  • Write an R script that imports, subsets and summarises data.
  • Produce and interpret a boxplot, histogram and qq-plot.
  • Build a confidence interval for a mean and a proportion.
  • Run a hypothesis test and explain Type I and Type II errors.

Before the final heaviest topics

  • Analyse a contingency table.
  • Compare two or more samples with the right parametric test.
  • Choose and run a nonparametric alternative.
  • Fit a simple linear regression and check its assumptions.

The mistakes that cost marks

01

Parametric test on ordinal data. Measurement scale decides the test; the course's second ILO is exactly this.

02

Paired data treated as independent. Dependent samples need paired methods; the design, not the data size, decides.

03

Reporting without a plot. Every inference in the report should be accompanied by the plot that motivates it.

Teaching team

Who teaches MH3511

The bios below are factual. We do not rate lecturers; any star ratings are submitted by students who have taken MH3511.

Course author

Yue Mu

Student ratingNo student ratings yet

Teaching team as listed in the course materials reviewed. AskSia does not rate lecturers; star ratings are submitted by students who have taken MH3511.

Formula & concept sheet

The vocabulary and formulas you must own

Data frame
R's table structure with named columns of possibly different types.
Measurement scale
Nominal, ordinal, interval or ratio: the level of a variable that decides valid analyses.
qq-plot
A plot comparing sample quantiles with a theoretical distribution to check normality.
Central limit theorem
The sample mean is approximately normal for large samples.
Type I and Type II errors
Rejecting a true null hypothesis, and failing to reject a false one.
Goodness-of-fit test
A chi-square test of whether observed counts match expected proportions.
Contingency table
A cross-tabulation of two categorical variables.
ANOVA
A test comparing means across more than two groups.
Wilcoxon rank-sum test
A nonparametric alternative to the two-sample t test.
Model checking
Verifying regression assumptions through residual analysis.

Set texts

The prescribed reading

The syllabus references map straight onto these.

A Handbook of Statistical Analyses Using R

.

Where it fits

Prerequisites, related courses & why it matters

Prerequisite: MH2500 or BS1008. 3 AU; 50 contact hours; offered in Semester 2.

Why it matters beyond the grade. Practical data analysis in R is the skill most directly transferable from a mathematics degree into analytics, research and business roles.

FAQ

Frequently asked questions

Is MH3511 hard?

It rates moderate. It is applied and computational, with marks spread across quizzes, a group report, participation and a 50% exam with no hurdle.

What is the assessment breakdown?

Group written report 15%, two one-hour quizzes at 15% each, class participation 5% and a two-hour final examination 50%, per the OBTL+ document.

How is participation marked?

Via Wooclap during lab sessions: completing at least 8 sessions earns the full 5%; 6 or 7 sessions earns 3%.

What are the prerequisites?

MH2500 or BS1008.

Which software?

R throughout, from basic syntax in week 1 to regression model checking in week 13.

Who wrote the course?

The OBTL+ document names Yue Mu as course author.

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