Module Handbook-Mathematics-Universitas Brawijaya
Module Handbook
Module Name: Introduction to Statistics
Module Level: Bachelor
Abbreviation, if Applicable:
MAM61301 Sub-Heading, if
Applicable:
- Courses included in the module, if applicable
Introduction to Statistics Semester/term: 1st/1st year
Module Coordinator(s): Chair of the Lab. Industrial and Finance Mathematics
Lecturer(s) Kwardiniya Andawaningtyas, Agus Widodo, Imam Nurhadi, Mila Kurniawaty
Language Indonesian
Classification within the curriculum
Compulsory Course Teaching format / class
hours per week during semester:
100 minutes lectures and 170 minutes laboratory activities per week.
Workload: Total workload is 4.5 ECTS, which consists of 1.67 hours lectures, 2 hours structured activities, 2 hours independent learning, 2.83 hours practice in laboratory, 16 week per semester, and a total 113.33 hours per semester including mid exam and final exam.
Credit Points: 3
Requirements according to the examination regulations:
Students have taken Introduction to Statistics course (MAM61301), have attendance at least 80%, and have the examination card when where the course is stated on.
Recommended prerequisties
- Learning
goals/competencies or
Module
objectives/intended learning outcomes
After completing this course the student should have CLO1: ability to explain the basic concepts of Statistics.
CLO2: ability to explain the basic concepts of Descriptive Statistics.
CLO3 : ability to understand the basic concepts of counting principle and the Probability Axioms.
CLO4 : ability to identify and calculate the probability of binomial and normal random variables.
CLO5 : ability to use inferential statistics to calculate confidence interval and test hypothesis.
Content: 1. Basic concepts of Statistics: differences between Statistical and Statistic, Descriptive Statistics, Inferential Statistics, types of data, differences between population and samples, statistics and computers.
Module Handbook-Mathematics-Universitas Brawijaya 2. Basic concepts of Descriptive Statistics: how to present data,
frequency distribution, various of diagrams and how to graph it.
3. Centering Data Measures : Mean, Median, Mode, Relationship of Mean, Median and Mode, Comparison of Mean, Median and Mode.
4. Data Location Measures: Quartile, Decile and Percentile.
5. Data Distribution Measures: range, Mean deviation, Variance of populations and Samples for Single and Group data, Standard Deviation for Single and Group data, Coefficient of Variance.
6. Introduction to counting principle: the sum rules, Multiplication rules, Permutation and Combination.
7. Probability Axioms: Experiments, Sample Spaces, Events and probability of Events, Expectation frequency of Event, Probability Axioms, Bayesian Rules.
8. Distribution Probability: Random Variables, Discrete and Continuous Random Variables. Discrete Probability Distribution and Continuous Probability Distribution, Bernoulli Distribution, Binomial Distribution, Normal Distribution, Standard Normal Distribution Table (Table Z).
9. Parameter Estimation: Estimation of Mean (μ), Estimation of Proportions (p), Estimation of Variance ( ), Differences between Means, Differences between Proportions.
10. Hypothesis Testing: Hypothesis Test of Mean for 1 and 2 Populations, Hypothesis Test of Proportion for 1 and 2 Populations, Hypothesis Test of Paired Data.
Study / exam achievements:
The final mark will be weighted as follows:
No. Assessment methods (component, activities). Weight
1. Assignment 10 %
2. Quiz 1 20 %
3. Quiz 2 20%
4. Mid examination 25 %
5. Final examination 25 %
Final grades is defined as follow: A : 80 < Final Mark ≤ 100 B+ : 75 < Final Mark ≤ 80
B : 69 < Final Mark ≤ 75
C+ : 60 < Final Mark ≤ 69
C : 55 < Final Mark ≤ 60
D+ : 50 < Final Mark ≤ 55
D : 44 < Final Mark ≤ 50
E : 0 ≤ Final Mark ≤ 44
Forms of Media Slides and LCD projectors, laptop/ computer, whiteboards.
Learning Methods Lecture
Module Handbook-Mathematics-Universitas Brawijaya Literature 1. Sudaryono, 2014,Teori dan Aplikasi Dalam Statistik, Penerbit Andi
Yogjakarta
2. Yitnosumarto, S., 1990, Dasar Dasar Statistika, Grafindo Persada Jakarta
3. Walpole,R.E., 1995, Pengantar Statistika, Gramedia Pustaka Utama, Jakarta
4. Wibisono, Y, 2009, Metode Statistika, Gajah Mada University Press
Notes: